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数论问题巅峰对决

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发表于 2020-8-7 06:30 | 显示全部楼层
请 ysr 编程验证

定义:素数对\(( P, P+10 )\)的中项\((P+5)\),叫:孪中数,

孪中数猜想:所有>=42的孪中数均可表为两个孪中数之和,

即:\(P_n+5=\left(P_1+5\right)+\left(P_2+5\right)\)

这个是 不同于 工程师李明波的孪中数猜想。
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 楼主| 发表于 2020-8-7 07:07 | 显示全部楼层
好的,这个容易验证,等会儿,我有点事出去一下。
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 楼主| 发表于 2020-8-7 10:10 | 显示全部楼层
本帖最后由 ysr 于 2020-8-7 02:19 编辑

我回来了,先验证1~10000内的结果,这个快。结果如下:
1与10000之间有270对孪生(10)素数对:(下面的是孪中)
/8/12/18/24/36/42/48/66/78/84/102/108/132/144/162/168/186/228/234/246/276/288/312/342/354/378/384/414/426/438/444/462/504/552/582/612/636/648/678/696/714/738/756/792/816/834/858/882/924/942/972/1014/1026/1044/1056/1092/1098/1158/1176/1218/1254/1284/1296/1302/1404/1428/1434/1476/1488/1494/1548/1554/1602/1614/1632/1662/1704/1728/1782/1806/1866/1872/1884/1992/1998/2022/2034/2058/2094/2136/2148/2208/2292/2346/2352/2376/2388/2394/2442/2472/2526/2544/2652/2682/2688/2694/2724/2736/2772/2796/2838/2856/2892/2922/2958/3006/3084/3114/3186/3318/3324/3366/3462/3522/3534/3552/3576/3588/3612/3618/3696/3714/3774/3798/3828/3858/3912/3924/4008/4134/4206/4224/4236/4248/4266/4278/4332/4344/4368/4446/4452/4488/4512/4518/4644/4668/4728/4788/4794/4866/4914/4938/4962/4998/5004/5016/5082/5184/5232/5328/5412/5436/5526/5568/5586/5646/5652/5664/5688/5706/5796/5844/5856/5862/5874/6042/6048/6084/6096/6126/6138/6168/6216/6252/6282/6306/6348/6384/6486/6558/6576/6684/6696/6714/6786/6798/6828/6912/6954/6966/6972/6996/7074/7182/7224/7242/7248/7302/7326/7482/7494/7512/7542/7554/7578/7644/7686/7722/7872/7878/7932/8064/8106/8166/8214/8226/8238/8268/8292/8358/8382/8424/8532/8568/8604/8694/8736/8742/8826/8844/8928/8946/9006/9054/9132/9156/9204/9288/9408/9426/9468/9516/9618/9624/9684/9738/9744/9786/9834/9936。
下面的是孪中和(两两相加)的排序结果:
24/30/36/42/48/54/60/66/72/78/84/90/96/102/108/114/120/126/132/138/
144/150/156/162/168/174/180/186/192/198/204/210/216/222/228/234/240/246/252/258/
264/270/276/282/288/294/300/306/312/318/324/330/336/342/348/354/360/366/372/378/
384/390/396/402/408/414/420/426/432/438/444/450/456/462/468/474/480/486/492/498/
504/510/516/522/528/534/540/546/552/558/564/570/576/582/588/594/600/606/612/618/
624/630/636/642/648/654/660/666/672/678/684/690/696/702/708/714/720/726/732/738/
744/750/756/762/768/774/780/786/792/798/804/810/816/822/828/834/840/846/852/858/
864/870/876/882/888/894/900/906/912/918/924/930/936/942/948/954/960/966/972/978/
984/990/996/1002/1008/1014/1020/1026/1032/1038/1044/1050/1056/1062/1068/1074/1080/1086/1092/1098/
1104/1110/1116/1122/1128/1134/1140/1146/1152/1158/1164/1170/1176/1182/1188/1194/1200/1206/1212/1218/
1224/1230/1236/1242/1248/1254/1260/1266/1272/1278/1284/1290/1296/1302/1308/1314/1320/1326/1332/1338/
1344/1350/1356/1362/1368/1374/1380/1386/1392/1398/1404/1410/1416/1422/1428/1434/1440/1446/1452/1458/
1464/1470/1476/1482/1488/1494/1500/1506/1512/1518/1524/1530/1536/1542/1548/1554/1560/1566/1572/1578/
1584/1590/1596/1602/1608/1614/1620/1626/1632/1638/1644/1650/1656/1662/1668/1674/1680/1686/1692/1698/
1704/1710/1716/1722/1728/1734/1740/1746/1752/1758/1764/1770/1776/1782/1788/1794/1800/1806/1812/1818/
1824/1830/1836/1842/1848/1854/1860/1866/1872/1878/1884/1890/1896/1902/1908/1914/1920/1926/1932/1938/
1944/1950/1956/1962/1968/1974/1980/1986/1992/1998/2004/2010/2016/2022/2028/2034/2040/2046/2052/2058/
2064/2070/2076/2082/2088/2094/2100/2106/2112/2118/2124/2130/2136/2142/2148/2154/2160/2166/2172/2178/
2184/2190/2196/2202/2208/2214/2220/2226/2232/2238/2244/2250/2256/2262/2268/2274/2280/2286/2292/2298/
2304/2310/2316/2322/2328/2334/2340/2346/2352/2358/2364/2370/2376/2382/2388/2394/2400/2406/2412/2418/
2424/2430/2436/2442/2448/2454/2460/2466/2472/2478/2484/2490/2496/2502/2508/2514/2520/2526/2532/2538/
2544/2550/2556/2562/2568/2574/2580/2586/2592/2598/2604/2610/2616/2622/2628/2634/2640/2646/2652/2658/
2664/2670/2676/2682/2688/2694/2700/2706/2712/2718/2724/2730/2736/2742/2748/2754/2760/2766/2772/2778/
2784/2790/2796/2802/2808/2814/2820/2826/2832/2838/2844/2850/2856/2862/2868/2874/2880/2886/2892/2898/
2904/2910/2916/2922/2928/2934/2940/2946/2952/2958/2964/2970/2976/2982/2988/2994/3000/3006/3012/3018/
3024/3030/3036/3042/3048/3054/3060/3066/3072/3078/3084/3090/3096/3102/3108/3114/3120/3126/3132/3138/
3144/3150/3156/3162/3168/3174/3180/3186/3192/3198/3204/3210/3216/3222/3228/3234/3240/3246/3252/3258/
3264/3270/3276/3282/3288/3294/3300/3306/3312/3318/3324/3330/3336/3342/3348/3354/3360/3366/3372/3378/
3384/3390/3396/3402/3408/3414/3420/3426/3432/3438/3444/3450/3456/3462/3468/3474/3480/3486/3492/3498/
3504/3510/3516/3522/3528/3534/3540/3546/3552/3558/3564/3570/3576/3582/3588/3594/3600/3606/3612/3618/
3624/3630/3636/3642/3648/3654/3660/3666/3672/3678/3684/3690/3696/3702/3708/3714/3720/3726/3732/3738/
3744/3750/3756/3762/3768/3774/3780/3786/3792/3798/3804/3810/3816/3822/3828/3834/3840/3846/3852/3858/
3864/3870/3876/3882/3888/3894/3900/3906/3912/3918/3924/3930/3936/3942/3948/3954/3960/3966/3972/3978/
3984/3990/3996/4002/4008/4014/4020/4026/4032/4038/4044/4050/4056/4062/4068/4074/4080/4086/4092/4098/
4104/4110/4116/4122/4128/4134/4140/4146/4152/4158/4164/4170/4176/4182/4188/4194/4200/4206/4212/4218/
4224/4230/4236/4242/4248/4254/4260/4266/4272/4278/4284/4290/4296/4302/4308/4314/4320/4326/4332/4338/
4344/4350/4356/4362/4368/4374/4380/4386/4392/4398/4404/4410/4416/4422/4428/4434/4440/4446/4452/4458/
4464/4470/4476/4482/4488/4494/4500/4506/4512/4518/4524/4530/4536/4542/4548/4554/4560/4566/4572/4578/
4584/4590/4596/4602/4608/4614/4620/4626/4632/4638/4644/4650/4656/4662/4668/4674/4680/4686/4692/4698/
4704/4710/4716/4722/4728/4734/4740/4746/4752/4758/4764/4770/4776/4782/4788/4794/4800/4806/4812/4818/
4824/4830/4836/4842/4848/4854/4860/4866/4872/4878/4884/4890/4896/4902/4908/4914/4920/4926/4932/4938/
4944/4950/4956/4962/4968/4974/4980/4986/4992/4998/5004/5010/5016/5022/5028/5034/5040/5046/5052/5058/
5064/5070/5076/5082/5088/5094/5100/5106/5112/5118/5124/5130/5136/5142/5148/5154/5160/5166/5172/5178/
5184/5190/5196/5202/5208/5214/5220/5226/5232/5238/5244/5250/5256/5262/5268/5274/5280/5286/5292/5298/
5304/5310/5316/5322/5328/5334/5340/5346/5352/5358/5364/5370/5376/5382/5388/5394/5400/5406/5412/5418/
5424/5430/5436/5442/5448/5454/5460/5466/5472/5478/5484/5490/5496/5502/5508/5514/5520/5526/5532/5538/
5544/5550/5556/5562/5568/5574/5580/5586/5592/5598/5604/5610/5616/5622/5628/5634/5640/5646/5652/5658/
5664/5670/5676/5682/5688/5694/5700/5706/5712/5718/5724/5730/5736/5742/5748/5754/5760/5766/5772/5778/
5784/5790/5796/5802/5808/5814/5820/5826/5832/5838/5844/5850/5856/5862/5868/5874/5880/5886/5892/5898/
5904/5910/5916/5922/5928/5934/5940/5946/5952/5958/5964/5970/5976/5982/5988/5994/6000/6006/6012/6018/
6024/6030/6036/6042/6048/6054/6060/6066/6072/6078/6084/6090/6096/6102/6108/6114/6120/6126/6132/6138/
6144/6150/6156/6162/6168/6174/6180/6186/6192/6198/6204/6210/6216/6222/6228/6234/6240/6246/6252/6258/
6264/6270/6276/6282/6288/6294/6300/6306/6312/6318/6324/6330/6336/6342/6348/6354/6360/6366/6372/6378/
6384/6390/6396/6402/6408/6414/6420/6426/6432/6438/6444/6450/6456/6462/6468/6474/6480/6486/6492/6498/
6504/6510/6516/6522/6528/6534/6540/6546/6552/6558/6564/6570/6576/6582/6588/6594/6600/6606/6612/6618/
6624/6630/6636/6642/6648/6654/6660/6666/6672/6678/6684/6690/6696/6702/6708/6714/6720/6726/6732/6738/
6744/6750/6756/6762/6768/6774/6780/6786/6792/6798/6804/6810/6816/6822/6828/6834/6840/6846/6852/6858/
6864/6870/6876/6882/6888/6894/6900/6906/6912/6918/6924/6930/6936/6942/6948/6954/6960/6966/6972/6978/
6984/6990/6996/7002/7008/7014/7020/7026/7032/7038/7044/7050/7056/7062/7068/7074/7080/7086/7092/7098/
7104/7110/7116/7122/7128/7134/7140/7146/7152/7158/7164/7170/7176/7182/7188/7194/7200/7206/7212/7218/
7224/7230/7236/7242/7248/7254/7260/7266/7272/7278/7284/7290/7296/7302/7308/7314/7320/7326/7332/7338/
7344/7350/7356/7362/7368/7374/7380/7386/7392/7398/7404/7410/7416/7422/7428/7434/7440/7446/7452/7458/
7464/7470/7476/7482/7488/7494/7500/7506/7512/7518/7524/7530/7536/7542/7548/7554/7560/7566/7572/7578/
7584/7590/7596/7602/7608/7614/7620/7626/7632/7638/7644/7650/7656/7662/7668/7674/7680/7686/7692/7698/
7704/7710/7716/7722/7728/7734/7740/7746/7752/7758/7764/7770/7776/7782/7788/7794/7800/7806/7812/7818/
7824/7830/7836/7842/7848/7854/7860/7866/7872/7878/7884/7890/7896/7902/7908/7914/7920/7926/7932/7938/
7944/7950/7956/7962/7968/7974/7980/7986/7992/7998/8004/8010/8016/8022/8028/8034/8040/8046/8052/8058/
8064/8070/8076/8082/8088/8094/8100/8106/8112/8118/8124/8130/8136/8142/8148/8154/8160/8166/8172/8178/
8184/8190/8196/8202/8208/8214/8220/8226/8232/8238/8244/8250/8256/8262/8268/8274/8280/8286/8292/8298/
8304/8310/8316/8322/8328/8334/8340/8346/8352/8358/8364/8370/8376/8382/8388/8394/8400/8406/8412/8418/
8424/8430/8436/8442/8448/8454/8460/8466/8472/8478/8484/8490/8496/8502/8508/8514/8520/8526/8532/8538/
8544/8550/8556/8562/8568/8574/8580/8586/8592/8598/8604/8610/8616/8622/8628/8634/8640/8646/8652/8658/
8664/8670/8676/8682/8688/8694/8700/8706/8712/8718/8724/8730/8736/8742/8748/8754/8760/8766/8772/8778/
8784/8790/8796/8802/8808/8814/8820/8826/8832/8838/8844/8850/8856/8862/8868/8874/8880/8886/8892/8898/
8904/8910/8916/8922/8928/8934/8940/8946/8952/8958/8964/8970/8976/8982/8988/8994/9000/9006/9012/9018/
9024/9030/9036/9042/9048/9054/9060/9066/9072/9078/9084/9090/9096/9102/9108/9114/9120/9126/9132/9138/
9144/9150/9156/9162/9168/9174/9180/9186/9192/9198/9204/9210/9216/9222/9228/9234/9240/9246/9252/9258/
9264/9270/9276/9282/9288/9294/9300/9306/9312/9318/9324/9330/9336/9342/9348/9354/9360/9366/9372/9378/
9384/9390/9396/9402/9408/9414/9420/9426/9432/9438/9444/9450/9456/9462/9468/9474/9480/9486/9492/9498/
9504/9510/9516/9522/9528/9534/9540/9546/9552/9558/9564/9570/9576/9582/9588/9594/9600/9606/9612/9618/
9624/9630/9636/9642/9648/9654/9660/9666/9672/9678/9684/9690/9696/9702/9708/9714/9720/9726/9732/9738/
9744/9750/9756/9762/9768/9774/9780/9786/9792/9798/9804/9810/9816/9822/9828/9834/9840/9846/9852/9858/
9864/9870/9876/9882/9888/9894/9900/9906/9912/9918/9924/9930/9936/9942/9948/9954/9960/9966/9972/9978/
9984/9990/9996/10002/10008/10014/10020/10026/10032/10038/10044/10050/10056/10062/10068/10074/10080/10086/10092/10098/
10104/10110/10116/10122/10128/10134/10140/10146/10152/10158/10164/10170/10176/10182/10188/10194/10200/10206/10212/10218/
10224/10230/10236/10242/10248/10254/10260/10266/10272/10278/10284/10290/10296/10302/10308/10314/10320/10326/10332/10338/
10344/10350/10356/10362/10368/10374/10380/10386/10392/10398/10404/10410/10416/10422/10428/10434/10440/10446/10452/10458/
10464/10470/10476/10482/10488/10494/10500/10506/10512/10518/10524/10530/10536/10542/10548/10554/10560/10566/10572/10578/
10584/10590/10596/10602/10608/10614/10620/10626/10632/10638/10644/10650/10656/10662/10668/10674/10680/10686/10692/10698/
10704/10710/10716/10722/10728/10734/10740/10746/10752/10758/10764/10770/10776/10782/10788/10794/10800/10806/10812/10818/
10824/10830/10836/10842/10848/10854/10860/10866/10872/10878/10884/10890/10896/10902/10908/10914/10920/10926/10932/10938/
10944/10950/10956/10962/10968/10974/10980/10986/10992/10998/11004/11010/11016/11022/11028/11034/11040/11046/11052/11058/
11064/11070/11076/11082/11088/11094/11100/11106/11112/11118/11124/11130/11136/11142/11148/11154/11160/11166/11172/11178/
11184/11190/11196/11202/11208/11214/11220/11226/11232/11238/11244/11250/11256/11262/11268/11274/11280/11286/11292/11298/
11304/11310/11316/11322/11328/11334/11340/11346/11352/11358/11364/11370/11376/11382/11388/11394/11400/11406/11412/11418/
11424/11430/11436/11442/11448/11454/11460/11466/11472/11478/11484/11490/11496/11502/11508/11514/11520/11526/11532/11538/
11544/11550/11556/11562/11568/11574/11580/11586/11592/11598/11604/11610/11616/11622/11628/11634/11640/11646/11652/11658/
11664/11670/11676/11682/11688/11694/11700/11706/11712/11718/11724/11730/11736/11742/11748/11754/11760/11766/11772/11778/
11784/11790/11796/11802/11808/11814/11820/11826/11832/11838/11844/11850/11856/11862/11868/11874/11880/11886/11892/11898/
11904/11910/11916/11922/11928/11934/11940/11946/11952/11958/11964/11970/11976/11982/11988/11994/12000/12006/12012/12018/
12024/12030/12036/12042/12048/12054/12060/12066/12072/12078/12084/12090/12096/12102/12108/12114/12120/12126/12132/12138/
12144/12150/12156/12162/12168/12174/12180/12186/12192/12198/12204/12210/12216/12222/12228/12234/12240/12246/12252/12258/
12264/12270/12276/12282/12288/12294/12300/12306/12312/12318/12324/12330/12336/12342/12348/12354/12360/12366/12372/12378/
12384/12390/12396/12402/12408/12414/12420/12426/12432/12438/12444/12450/12456/12462/12468/12474/12480/12486/12492/12498/
12504/12510/12516/12522/12528/12534/12540/12546/12552/12558/12564/12570/12576/12582/12588/12594/12600/12606/12612/12618/
12624/12630/12636/12642/12648/12654/12660/12666/12672/12678/12684/12690/12696/12702/12708/12714/12720/12726/12732/12738/
12744/12750/12756/12762/12768/12774/12780/12786/12792/12798/12804/12810/12816/12822/12828/12834/12840/12846/12852/12858/
12864/12870/12876/12882/12888/12894/12900/12906/12912/12918/12924/12930/12936/12942/12948/12954/12960/12966/12972/12978/
12984/12990/12996/13002/13008/13014/13020/13026/13032/13038/13044/13050/13056/13062/13068/13074/13080/13086/13092/13098/
13104/13110/13116/13122/13128/13134/13140/13146/13152/13158/13164/13170/13176/13182/13188/13194/13200/13206/13212/13218/
13224/13230/13236/13242/13248/13254/13260/13266/13272/13278/13284/13290/13296/13302/13308/13314/13320/13326/13332/13338/
13344/13350/13356/13362/13368/13374/13380/13386/13392/13398/13404/13410/13416/13422/13428/13434/13440/13446/13452/13458/
13464/13470/13476/13482/13488/13494/13500/13506/13512/13518/13524/13530/13536/13542/13548/13554/13560/13566/13572/13578/
13584/13590/13596/13602/13608/13614/13620/13626/13632/13638/13644/13650/13656/13662/13668/13674/13680/13686/13692/13698/
13704/13710/13716/13722/13728/13734/13740/13746/13752/13758/13764/13770/13776/13782/13788/13794/13800/13806/13812/13818/
13824/13830/13836/13842/13848/13854/13860/13866/13872/13878/13884/13890/13896/13902/13908/13914/13920/13926/13932/13938/
13944/13950/13956/13962/13968/13974/13980/13986/13992/13998/14004/14010/14016/14022/14028/14034/14040/14046/14052/14058/
14064/14070/14076/14082/14088/14094/14100/14106/14112/14118/14124/14130/14136/14142/14148/14154/14160/14166/14172/14178/
14184/14190/14196/14202/14208/14214/14220/14226/14232/14238/14244/14250/14256/14262/14268/14274/14280/14286/14292/14298/
14304/14310/14316/14322/14328/14334/14340/14346/14352/14358/14364/14370/14376/14382/14388/14394/14400/14406/14412/14418/
14424/14430/14436/14442/14448/14454/14460/14466/14472/14478/14484/14490/14496/14502/14508/14514/14520/14526/14532/14538/
14544/14550/14556/14562/14568/14574/14580/14586/14592/14598/14604/14610/14616/14622/14628/14634/14640/14646/14652/14658/
14664/14670/14676/14682/14688/14694/14700/14706/14712/14718/14724/14730/14736/14742/14748/14754/14760/14766/14772/14778/
14784/14790/14796/14802/14808/14814/14820/14826/14832/14838/14844/14850/14856/14862/14868/14874/14880/14886/14892/14898/
14904/14910/14916/14922/14928/14934/14940/14946/14952/14958/14964/14970/14976/14982/14988/14994/15000/15006/15012/15018/
15024/15030/15036/15042/15048/15054/15060/15066/15072/15078/15084/15090/15096/15102/15108/15114/15120/15126/15132/15138/
15144/15150/15156/15162/15168/15174/15180/15186/15192/15198/15204/15210/15216/15222/15228/15234/15240/15246/15252/15258/
15264/15270/15276/15282/15288/15294/15300/15306/15312/15318/15324/15330/15336/15342/15348/15354/15360/15366/15372/15378/
15384/15390/15396/15402/15408/15414/15420/15426/15432/15438/15444/15450/15456/15462/15468/15474/15480/15486/15492/15498/
15504/15510/15516/15522/15528/15534/15540/15546/15552/15558/15564/15570/15576/15582/15588/15594/15600/15606/15612/15618/
15624/15630/15636/15642/15648/15654/15660/15666/15672/15678/15684/15690/15696/15702/15708/15714/15720/15726/15732/15738/
15744/15750/15756/15762/15768/15774/15780/15786/15792/15798/15804/15810/15816/15822/15828/15834/15840/15846/15852/15858/
15864/15870/15876/15882/15888/15894/15900/15906/15912/15918/15924/15930/15936/15942/15948/15954/15960/15966/15972/15978/
15984/15990/15996/16002/16008/16014/16020/16026/16032/16038/16044/16050/16062/16068/16074/16080/16086/16092/16098/16104/
16110/16116/16122/16128/16134/16140/16146/16152/16158/16164/16170/16176/16182/16188/16194/16200/16206/16212/16218/16224/
16230/16236/16242/16248/16254/16260/16266/16272/16278/16284/16290/16296/16302/16308/16314/16320/16326/16332/16338/16344/
16356/16362/16368/16374/16380/16386/16392/16398/16404/16410/16416/16422/16428/16434/16440/16446/16452/16458/16464/16470/
16476/16482/16488/16494/16500/16506/16512/16518/16524/16530/16536/16542/16548/16560/16566/16572/16578/16584/16590/16596/
16608/16614/16620/16626/16632/16638/16644/16650/16656/16662/16668/16674/16680/16686/16692/16698/16704/16710/16716/16722/
16728/16734/16740/16746/16752/16758/16764/16770/16776/16782/16788/16794/16800/16806/16812/16818/16824/16830/16836/16842/
16848/16854/16860/16866/16872/16878/16884/16890/16896/16902/16908/16914/16920/16926/16932/16938/16944/16950/16956/16962/
16968/16974/16980/16986/16992/16998/17004/17010/17016/17022/17028/17034/17040/17046/17052/17058/17064/17070/17076/17082/
17088/17094/17100/17106/17112/17118/17124/17130/17136/17142/17148/17154/17160/17166/17172/17178/17184/17190/17196/17202/
17208/17214/17220/17226/17232/17238/17244/17250/17256/17262/17268/17274/17280/17286/17292/17298/17304/17310/17316/17322/
17328/17340/17346/17352/17358/17364/17370/17376/17382/17388/17394/17400/17406/17412/17418/17424/17430/17436/17442/17448/
17454/17460/17466/17472/17478/17484/17490/17496/17502/17508/17514/17520/17526/17532/17538/17550/17556/17562/17568/17574/
17580/17586/17592/17610/17616/17622/17628/17634/17640/17646/17652/17658/17664/17670/17676/17682/17688/17694/17700/17706/
17712/17718/17724/17730/17736/17742/17748/17754/17760/17766/17772/17784/17790/17796/17802/17808/17814/17820/17826/17832/
17838/17844/17850/17856/17862/17868/17874/17880/17886/17892/17898/17904/17910/17916/17922/17934/17940/17946/17952/17958/
17964/17970/17976/17982/17994/18000/18006/18012/18024/18030/18036/18042/18048/18054/18060/18066/18072/18078/18084/18096/
18102/18108/18114/18120/18126/18132/18138/18144/18150/18156/18162/18168/18174/18186/18192/18204/18210/18216/18222/18228/
18234/18252/18258/18264/18270/18276/18288/18294/18306/18312/18318/18336/18342/18348/18354/18360/18366/18372/18378/18390/
18396/18402/18408/18414/18420/18426/18432/18438/18444/18450/18462/18468/18474/18480/18486/18492/18504/18510/18522/18528/
18540/18546/18552/18558/18564/18570/18576/18582/18588/18600/18612/18624/18630/18648/18660/18666/18672/18678/18684/18690/
18696/18714/18720/18732/18738/18744/18750/18756/18762/18774/18780/18792/18798/18804/18816/18822/18828/18834/18840/18852/
18864/18870/18876/18882/18888/18894/18900/18906/18912/18918/18924/18936/18942/18948/18966/18972/18984/18990/19026/19032/
19038/19044/19050/19068/19074/19086/19092/19110/19122/19134/19140/19146/19152/19164/19170/19194/19200/19206/19212/19224/
19236/19242/19248/19254/19260/19302/19308/19344/19350/19356/19362/19368/19404/19410/19422/19428/19452/19458/19470/19476/
19482/19488/19518/19524/19530/19554/19560/19572/19578/19620/19668/19674/19680/19722/19770/19872/

注意:程序没有加8的运算,等会儿再改进一下,这是计算李明波的孪中猜想稍加修改而成的,其中的3不参与运算,没有改进这一点,所以,8没有参与运算,等会儿改一下再验证一次。
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发表于 2020-8-7 10:23 | 显示全部楼层
谢谢 ysr,但,我的这个猜想 不是 对所有的 正整数6k 而言,

仅对 孪中数(P+5) 而言,有反例吗?
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 楼主| 发表于 2020-8-7 10:49 | 显示全部楼层
改进了一下,如下是10000内的孪中(差10的素数对中点)和的排序结果:
16/20/24/26/30/32/36/42/44/48/50/54/56/60/66/72/74/78/84/86/
90/92/96/102/108/110/114/116/120/126/132/138/140/144/150/152/156/162/168/170/
174/176/180/186/192/194/198/204/210/216/222/228/234/236/240/242/246/252/254/258/
264/270/276/282/284/288/294/296/300/306/312/318/320/324/330/336/342/348/350/354/
360/362/366/372/378/384/386/390/392/396/402/408/414/420/422/426/432/434/438/444/
446/450/452/456/462/468/470/474/480/486/492/498/504/510/512/516/522/528/534/540/
546/552/558/560/564/570/576/582/588/590/594/600/606/612/618/620/624/630/636/642/
644/648/654/656/660/666/672/678/684/686/690/696/702/704/708/714/720/722/726/732/
738/744/746/750/756/762/764/768/774/780/786/792/798/800/804/810/816/822/824/828/
834/840/842/846/852/858/864/866/870/876/882/888/890/894/900/906/912/918/924/930/
932/936/942/948/950/954/960/966/972/978/980/984/990/996/1002/1008/1014/1020/1022/1026/
1032/1034/1038/1044/1050/1052/1056/1062/1064/1068/1074/1080/1086/1092/1098/1100/1104/1106/1110/1116/
1122/1128/1134/1140/1146/1152/1158/1164/1166/1170/1176/1182/1184/1188/1194/1200/1206/1212/1218/1224/
1226/1230/1236/1242/1248/1254/1260/1262/1266/1272/1278/1284/1290/1292/1296/1302/1304/1308/1310/1314/
1320/1326/1332/1338/1344/1350/1356/1362/1368/1374/1380/1386/1392/1398/1404/1410/1412/1416/1422/1428/
1434/1436/1440/1442/1446/1452/1458/1464/1470/1476/1482/1484/1488/1494/1496/1500/1502/1506/1512/1518/
1524/1530/1536/1542/1548/1554/1556/1560/1562/1566/1572/1578/1584/1590/1596/1602/1608/1610/1614/1620/
1622/1626/1632/1638/1640/1644/1650/1656/1662/1668/1670/1674/1680/1686/1692/1698/1704/1710/1712/1716/
1722/1728/1734/1736/1740/1746/1752/1758/1764/1770/1776/1782/1788/1790/1794/1800/1806/1812/1814/1818/
1824/1830/1836/1842/1848/1854/1860/1866/1872/1874/1878/1880/1884/1890/1892/1896/1902/1908/1914/1920/
1926/1932/1938/1944/1950/1956/1962/1968/1974/1980/1986/1992/1998/2000/2004/2006/2010/2016/2022/2028/
2030/2034/2040/2042/2046/2052/2058/2064/2066/2070/2076/2082/2088/2094/2100/2102/2106/2112/2118/2124/
2130/2136/2142/2144/2148/2154/2156/2160/2166/2172/2178/2184/2190/2196/2202/2208/2214/2216/2220/2226/
2232/2238/2244/2250/2256/2262/2268/2274/2280/2286/2292/2298/2300/2304/2310/2316/2322/2328/2334/2340/
2346/2352/2354/2358/2360/2364/2370/2376/2382/2384/2388/2394/2396/2400/2402/2406/2412/2418/2424/2430/
2436/2442/2448/2450/2454/2460/2466/2472/2478/2480/2484/2490/2496/2502/2508/2514/2520/2526/2532/2534/
2538/2544/2550/2552/2556/2562/2568/2574/2580/2586/2592/2598/2604/2610/2616/2622/2628/2634/2640/2646/
2652/2658/2660/2664/2670/2676/2682/2688/2690/2694/2696/2700/2702/2706/2712/2718/2724/2730/2732/2736/
2742/2744/2748/2754/2760/2766/2772/2778/2780/2784/2790/2796/2802/2804/2808/2814/2820/2826/2832/2838/
2844/2846/2850/2856/2862/2864/2868/2874/2880/2886/2892/2898/2900/2904/2910/2916/2922/2928/2930/2934/
2940/2946/2952/2958/2964/2966/2970/2976/2982/2988/2994/3000/3006/3012/3014/3018/3024/3030/3036/3042/
3048/3054/3060/3066/3072/3078/3084/3090/3092/3096/3102/3108/3114/3120/3122/3126/3132/3138/3144/3150/
3156/3162/3168/3174/3180/3186/3192/3194/3198/3204/3210/3216/3222/3228/3234/3240/3246/3252/3258/3264/
3270/3276/3282/3288/3294/3300/3306/3312/3318/3324/3326/3330/3332/3336/3342/3348/3354/3360/3366/3372/
3374/3378/3384/3390/3396/3402/3408/3414/3420/3426/3432/3438/3444/3450/3456/3462/3468/3470/3474/3480/
3486/3492/3498/3504/3510/3516/3522/3528/3530/3534/3540/3542/3546/3552/3558/3560/3564/3570/3576/3582/
3584/3588/3594/3596/3600/3606/3612/3618/3620/3624/3626/3630/3636/3642/3648/3654/3660/3666/3672/3678/
3684/3690/3696/3702/3704/3708/3714/3720/3722/3726/3732/3738/3744/3750/3756/3762/3768/3774/3780/3782/
3786/3792/3798/3804/3806/3810/3816/3822/3828/3834/3836/3840/3846/3852/3858/3864/3866/3870/3876/3882/
3888/3894/3900/3906/3912/3918/3920/3924/3930/3932/3936/3942/3948/3954/3960/3966/3972/3978/3984/3990/
3996/4002/4008/4014/4016/4020/4026/4032/4038/4044/4050/4056/4062/4068/4074/4080/4086/4092/4098/4104/
4110/4116/4122/4128/4134/4140/4142/4146/4152/4158/4164/4170/4176/4182/4188/4194/4200/4206/4212/4214/
4218/4224/4230/4232/4236/4242/4244/4248/4254/4256/4260/4266/4272/4274/4278/4284/4286/4290/4296/4302/
4308/4314/4320/4326/4332/4338/4340/4344/4350/4352/4356/4362/4368/4374/4376/4380/4386/4392/4398/4404/
4410/4416/4422/4428/4434/4440/4446/4452/4454/4458/4460/4464/4470/4476/4482/4488/4494/4496/4500/4506/
4512/4518/4520/4524/4526/4530/4536/4542/4548/4554/4560/4566/4572/4578/4584/4590/4596/4602/4608/4614/
4620/4626/4632/4638/4644/4650/4652/4656/4662/4668/4674/4676/4680/4686/4692/4698/4704/4710/4716/4722/
4728/4734/4736/4740/4746/4752/4758/4764/4770/4776/4782/4788/4794/4796/4800/4802/4806/4812/4818/4824/
4830/4836/4842/4848/4854/4860/4866/4872/4874/4878/4884/4890/4896/4902/4908/4914/4920/4922/4926/4932/
4938/4944/4946/4950/4956/4962/4968/4970/4974/4980/4986/4992/4998/5004/5006/5010/5012/5016/5022/5024/
5028/5034/5040/5046/5052/5058/5064/5070/5076/5082/5088/5090/5094/5100/5106/5112/5118/5124/5130/5136/
5142/5148/5154/5160/5166/5172/5178/5184/5190/5192/5196/5202/5208/5214/5220/5226/5232/5238/5240/5244/
5250/5256/5262/5268/5274/5280/5286/5292/5298/5304/5310/5316/5322/5328/5334/5336/5340/5346/5352/5358/
5364/5370/5376/5382/5388/5394/5400/5406/5412/5418/5420/5424/5430/5436/5442/5444/5448/5454/5460/5466/
5472/5478/5484/5490/5496/5502/5508/5514/5520/5526/5532/5534/5538/5544/5550/5556/5562/5568/5574/5576/
5580/5586/5592/5594/5598/5604/5610/5616/5622/5628/5634/5640/5646/5652/5654/5658/5660/5664/5670/5672/
5676/5682/5688/5694/5696/5700/5706/5712/5714/5718/5724/5730/5736/5742/5748/5754/5760/5766/5772/5778/
5784/5790/5796/5802/5804/5808/5814/5820/5826/5832/5838/5844/5850/5852/5856/5862/5864/5868/5870/5874/
5880/5882/5886/5892/5898/5904/5910/5916/5922/5928/5934/5940/5946/5952/5958/5964/5970/5976/5982/5988/
5994/6000/6006/6012/6018/6024/6030/6036/6042/6048/6050/6054/6056/6060/6066/6072/6078/6084/6090/6092/
6096/6102/6104/6108/6114/6120/6126/6132/6134/6138/6144/6146/6150/6156/6162/6168/6174/6176/6180/6186/
6192/6198/6204/6210/6216/6222/6224/6228/6234/6240/6246/6252/6258/6260/6264/6270/6276/6282/6288/6290/
6294/6300/6306/6312/6314/6318/6324/6330/6336/6342/6348/6354/6356/6360/6366/6372/6378/6384/6390/6392/
6396/6402/6408/6414/6420/6426/6432/6438/6444/6450/6456/6462/6468/6474/6480/6486/6492/6494/6498/6504/
6510/6516/6522/6528/6534/6540/6546/6552/6558/6564/6566/6570/6576/6582/6584/6588/6594/6600/6606/6612/
6618/6624/6630/6636/6642/6648/6654/6660/6666/6672/6678/6684/6690/6692/6696/6702/6704/6708/6714/6720/
6722/6726/6732/6738/6744/6750/6756/6762/6768/6774/6780/6786/6792/6794/6798/6804/6806/6810/6816/6822/
6828/6834/6836/6840/6846/6852/6858/6864/6870/6876/6882/6888/6894/6900/6906/6912/6918/6920/6924/6930/
6936/6942/6948/6954/6960/6962/6966/6972/6974/6978/6980/6984/6990/6996/7002/7004/7008/7014/7020/7026/
7032/7038/7044/7050/7056/7062/7068/7074/7080/7082/7086/7092/7098/7104/7110/7116/7122/7128/7134/7140/
7146/7152/7158/7164/7170/7176/7182/7188/7190/7194/7200/7206/7212/7218/7224/7230/7232/7236/7242/7248/
7250/7254/7256/7260/7266/7272/7278/7284/7290/7296/7302/7308/7310/7314/7320/7326/7332/7334/7338/7344/
7350/7356/7362/7368/7374/7380/7386/7392/7398/7404/7410/7416/7422/7428/7434/7440/7446/7452/7458/7464/
7470/7476/7482/7488/7490/7494/7500/7502/7506/7512/7518/7520/7524/7530/7536/7542/7548/7550/7554/7560/
7562/7566/7572/7578/7584/7586/7590/7596/7602/7608/7614/7620/7626/7632/7638/7644/7650/7652/7656/7662/
7668/7674/7680/7686/7692/7694/7698/7704/7710/7716/7722/7728/7730/7734/7740/7746/7752/7758/7764/7770/
7776/7782/7788/7794/7800/7806/7812/7818/7824/7830/7836/7842/7848/7854/7860/7866/7872/7878/7880/7884/
7886/7890/7896/7902/7908/7914/7920/7926/7932/7938/7940/7944/7950/7956/7962/7968/7974/7980/7986/7992/
7998/8004/8010/8016/8022/8028/8034/8040/8046/8052/8058/8064/8070/8072/8076/8082/8088/8094/8100/8106/
8112/8114/8118/8124/8130/8136/8142/8148/8154/8160/8166/8172/8174/8178/8184/8190/8196/8202/8208/8214/
8220/8222/8226/8232/8234/8238/8244/8246/8250/8256/8262/8268/8274/8276/8280/8286/8292/8298/8300/8304/
8310/8316/8322/8328/8334/8340/8346/8352/8358/8364/8366/8370/8376/8382/8388/8390/8394/8400/8406/8412/
8418/8424/8430/8432/8436/8442/8448/8454/8460/8466/8472/8478/8484/8490/8496/8502/8508/8514/8520/8526/
8532/8538/8540/8544/8550/8556/8562/8568/8574/8576/8580/8586/8592/8598/8604/8610/8612/8616/8622/8628/
8634/8640/8646/8652/8658/8664/8670/8676/8682/8688/8694/8700/8702/8706/8712/8718/8724/8730/8736/8742/
8744/8748/8750/8754/8760/8766/8772/8778/8784/8790/8796/8802/8808/8814/8820/8826/8832/8834/8838/8844/
8850/8852/8856/8862/8868/8874/8880/8886/8892/8898/8904/8910/8916/8922/8928/8934/8936/8940/8946/8952/
8954/8958/8964/8970/8976/8982/8988/8994/9000/9006/9012/9014/9018/9024/9030/9036/9042/9048/9054/9060/
9062/9066/9072/9078/9084/9090/9096/9102/9108/9114/9120/9126/9132/9138/9140/9144/9150/9156/9162/9164/
9168/9174/9180/9186/9192/9198/9204/9210/9212/9216/9222/9228/9234/9240/9246/9252/9258/9264/9270/9276/
9282/9288/9294/9296/9300/9306/9312/9318/9324/9330/9336/9342/9348/9354/9360/9366/9372/9378/9384/9390/
9396/9402/9408/9414/9416/9420/9426/9432/9434/9438/9444/9450/9456/9462/9468/9474/9476/9480/9486/9492/
9498/9504/9510/9516/9522/9524/9528/9534/9540/9546/9552/9558/9564/9570/9576/9582/9588/9594/9600/9606/
9612/9618/9624/9626/9630/9632/9636/9642/9648/9654/9660/9666/9672/9678/9684/9690/9692/9696/9702/9708/
9714/9720/9726/9732/9738/9744/9746/9750/9752/9756/9762/9768/9774/9780/9786/9792/9794/9798/9804/9810/
9816/9822/9828/9834/9840/9842/9846/9852/9858/9864/9870/9876/9882/9888/9894/9900/9906/9912/9918/9924/
9930/9936/9942/9944/9948/9954/9960/9966/9972/9978/9984/9990/9996/10002/10008/10014/10020/10026/10032/10038/
10044/10050/10056/10062/10068/10074/10080/10086/10092/10098/10104/10110/10116/10122/10128/10134/10140/10146/10152/10158/
10164/10170/10176/10182/10188/10194/10200/10206/10212/10218/10224/10230/10236/10242/10248/10254/10260/10266/10272/10278/
10284/10290/10296/10302/10308/10314/10320/10326/10332/10338/10344/10350/10356/10362/10368/10374/10380/10386/10392/10398/
10404/10410/10416/10422/10428/10434/10440/10446/10452/10458/10464/10470/10476/10482/10488/10494/10500/10506/10512/10518/
10524/10530/10536/10542/10548/10554/10560/10566/10572/10578/10584/10590/10596/10602/10608/10614/10620/10626/10632/10638/
10644/10650/10656/10662/10668/10674/10680/10686/10692/10698/10704/10710/10716/10722/10728/10734/10740/10746/10752/10758/
10764/10770/10776/10782/10788/10794/10800/10806/10812/10818/10824/10830/10836/10842/10848/10854/10860/10866/10872/10878/
10884/10890/10896/10902/10908/10914/10920/10926/10932/10938/10944/10950/10956/10962/10968/10974/10980/10986/10992/10998/
11004/11010/11016/11022/11028/11034/11040/11046/11052/11058/11064/11070/11076/11082/11088/11094/11100/11106/11112/11118/
11124/11130/11136/11142/11148/11154/11160/11166/11172/11178/11184/11190/11196/11202/11208/11214/11220/11226/11232/11238/
11244/11250/11256/11262/11268/11274/11280/11286/11292/11298/11304/11310/11316/11322/11328/11334/11340/11346/11352/11358/
11364/11370/11376/11382/11388/11394/11400/11406/11412/11418/11424/11430/11436/11442/11448/11454/11460/11466/11472/11478/
11484/11490/11496/11502/11508/11514/11520/11526/11532/11538/11544/11550/11556/11562/11568/11574/11580/11586/11592/11598/
11604/11610/11616/11622/11628/11634/11640/11646/11652/11658/11664/11670/11676/11682/11688/11694/11700/11706/11712/11718/
11724/11730/11736/11742/11748/11754/11760/11766/11772/11778/11784/11790/11796/11802/11808/11814/11820/11826/11832/11838/
11844/11850/11856/11862/11868/11874/11880/11886/11892/11898/11904/11910/11916/11922/11928/11934/11940/11946/11952/11958/
11964/11970/11976/11982/11988/11994/12000/12006/12012/12018/12024/12030/12036/12042/12048/12054/12060/12066/12072/12078/
12084/12090/12096/12102/12108/12114/12120/12126/12132/12138/12144/12150/12156/12162/12168/12174/12180/12186/12192/12198/
12204/12210/12216/12222/12228/12234/12240/12246/12252/12258/12264/12270/12276/12282/12288/12294/12300/12306/12312/12318/
12324/12330/12336/12342/12348/12354/12360/12366/12372/12378/12384/12390/12396/12402/12408/12414/12420/12426/12432/12438/
12444/12450/12456/12462/12468/12474/12480/12486/12492/12498/12504/12510/12516/12522/12528/12534/12540/12546/12552/12558/
12564/12570/12576/12582/12588/12594/12600/12606/12612/12618/12624/12630/12636/12642/12648/12654/12660/12666/12672/12678/
12684/12690/12696/12702/12708/12714/12720/12726/12732/12738/12744/12750/12756/12762/12768/12774/12780/12786/12792/12798/
12804/12810/12816/12822/12828/12834/12840/12846/12852/12858/12864/12870/12876/12882/12888/12894/12900/12906/12912/12918/
12924/12930/12936/12942/12948/12954/12960/12966/12972/12978/12984/12990/12996/13002/13008/13014/13020/13026/13032/13038/
13044/13050/13056/13062/13068/13074/13080/13086/13092/13098/13104/13110/13116/13122/13128/13134/13140/13146/13152/13158/
13164/13170/13176/13182/13188/13194/13200/13206/13212/13218/13224/13230/13236/13242/13248/13254/13260/13266/13272/13278/
13284/13290/13296/13302/13308/13314/13320/13326/13332/13338/13344/13350/13356/13362/13368/13374/13380/13386/13392/13398/
13404/13410/13416/13422/13428/13434/13440/13446/13452/13458/13464/13470/13476/13482/13488/13494/13500/13506/13512/13518/
13524/13530/13536/13542/13548/13554/13560/13566/13572/13578/13584/13590/13596/13602/13608/13614/13620/13626/13632/13638/
13644/13650/13656/13662/13668/13674/13680/13686/13692/13698/13704/13710/13716/13722/13728/13734/13740/13746/13752/13758/
13764/13770/13776/13782/13788/13794/13800/13806/13812/13818/13824/13830/13836/13842/13848/13854/13860/13866/13872/13878/
13884/13890/13896/13902/13908/13914/13920/13926/13932/13938/13944/13950/13956/13962/13968/13974/13980/13986/13992/13998/
14004/14010/14016/14022/14028/14034/14040/14046/14052/14058/14064/14070/14076/14082/14088/14094/14100/14106/14112/14118/
14124/14130/14136/14142/14148/14154/14160/14166/14172/14178/14184/14190/14196/14202/14208/14214/14220/14226/14232/14238/
14244/14250/14256/14262/14268/14274/14280/14286/14292/14298/14304/14310/14316/14322/14328/14334/14340/14346/14352/14358/
14364/14370/14376/14382/14388/14394/14400/14406/14412/14418/14424/14430/14436/14442/14448/14454/14460/14466/14472/14478/
14484/14490/14496/14502/14508/14514/14520/14526/14532/14538/14544/14550/14556/14562/14568/14574/14580/14586/14592/14598/
14604/14610/14616/14622/14628/14634/14640/14646/14652/14658/14664/14670/14676/14682/14688/14694/14700/14706/14712/14718/
14724/14730/14736/14742/14748/14754/14760/14766/14772/14778/14784/14790/14796/14802/14808/14814/14820/14826/14832/14838/
14844/14850/14856/14862/14868/14874/14880/14886/14892/14898/14904/14910/14916/14922/14928/14934/14940/14946/14952/14958/
14964/14970/14976/14982/14988/14994/15000/15006/15012/15018/15024/15030/15036/15042/15048/15054/15060/15066/15072/15078/
15084/15090/15096/15102/15108/15114/15120/15126/15132/15138/15144/15150/15156/15162/15168/15174/15180/15186/15192/15198/
15204/15210/15216/15222/15228/15234/15240/15246/15252/15258/15264/15270/15276/15282/15288/15294/15300/15306/15312/15318/
15324/15330/15336/15342/15348/15354/15360/15366/15372/15378/15384/15390/15396/15402/15408/15414/15420/15426/15432/15438/
15444/15450/15456/15462/15468/15474/15480/15486/15492/15498/15504/15510/15516/15522/15528/15534/15540/15546/15552/15558/
15564/15570/15576/15582/15588/15594/15600/15606/15612/15618/15624/15630/15636/15642/15648/15654/15660/15666/15672/15678/
15684/15690/15696/15702/15708/15714/15720/15726/15732/15738/15744/15750/15756/15762/15768/15774/15780/15786/15792/15798/
15804/15810/15816/15822/15828/15834/15840/15846/15852/15858/15864/15870/15876/15882/15888/15894/15900/15906/15912/15918/
15924/15930/15936/15942/15948/15954/15960/15966/15972/15978/15984/15990/15996/16002/16008/16014/16020/16026/16032/16038/
16044/16050/16062/16068/16074/16080/16086/16092/16098/16104/16110/16116/16122/16128/16134/16140/16146/16152/16158/16164/
16170/16176/16182/16188/16194/16200/16206/16212/16218/16224/16230/16236/16242/16248/16254/16260/16266/16272/16278/16284/
16290/16296/16302/16308/16314/16320/16326/16332/16338/16344/16356/16362/16368/16374/16380/16386/16392/16398/16404/16410/
16416/16422/16428/16434/16440/16446/16452/16458/16464/16470/16476/16482/16488/16494/16500/16506/16512/16518/16524/16530/
16536/16542/16548/16560/16566/16572/16578/16584/16590/16596/16608/16614/16620/16626/16632/16638/16644/16650/16656/16662/
16668/16674/16680/16686/16692/16698/16704/16710/16716/16722/16728/16734/16740/16746/16752/16758/16764/16770/16776/16782/
16788/16794/16800/16806/16812/16818/16824/16830/16836/16842/16848/16854/16860/16866/16872/16878/16884/16890/16896/16902/
16908/16914/16920/16926/16932/16938/16944/16950/16956/16962/16968/16974/16980/16986/16992/16998/17004/17010/17016/17022/
17028/17034/17040/17046/17052/17058/17064/17070/17076/17082/17088/17094/17100/17106/17112/17118/17124/17130/17136/17142/
17148/17154/17160/17166/17172/17178/17184/17190/17196/17202/17208/17214/17220/17226/17232/17238/17244/17250/17256/17262/
17268/17274/17280/17286/17292/17298/17304/17310/17316/17322/17328/17340/17346/17352/17358/17364/17370/17376/17382/17388/
17394/17400/17406/17412/17418/17424/17430/17436/17442/17448/17454/17460/17466/17472/17478/17484/17490/17496/17502/17508/
17514/17520/17526/17532/17538/17550/17556/17562/17568/17574/17580/17586/17592/17610/17616/17622/17628/17634/17640/17646/
17652/17658/17664/17670/17676/17682/17688/17694/17700/17706/17712/17718/17724/17730/17736/17742/17748/17754/17760/17766/
17772/17784/17790/17796/17802/17808/17814/17820/17826/17832/17838/17844/17850/17856/17862/17868/17874/17880/17886/17892/
17898/17904/17910/17916/17922/17934/17940/17946/17952/17958/17964/17970/17976/17982/17994/18000/18006/18012/18024/18030/
18036/18042/18048/18054/18060/18066/18072/18078/18084/18096/18102/18108/18114/18120/18126/18132/18138/18144/18150/18156/
18162/18168/18174/18186/18192/18204/18210/18216/18222/18228/18234/18252/18258/18264/18270/18276/18288/18294/18306/18312/
18318/18336/18342/18348/18354/18360/18366/18372/18378/18390/18396/18402/18408/18414/18420/18426/18432/18438/18444/18450/
18462/18468/18474/18480/18486/18492/18504/18510/18522/18528/18540/18546/18552/18558/18564/18570/18576/18582/18588/18600/
18612/18624/18630/18648/18660/18666/18672/18678/18684/18690/18696/18714/18720/18732/18738/18744/18750/18756/18762/18774/
18780/18792/18798/18804/18816/18822/18828/18834/18840/18852/18864/18870/18876/18882/18888/18894/18900/18906/18912/18918/
18924/18936/18942/18948/18966/18972/18984/18990/19026/19032/19038/19044/19050/19068/19074/19086/19092/19110/19122/19134/
19140/19146/19152/19164/19170/19194/19200/19206/19212/19224/19236/19242/19248/19254/19260/19302/19308/19344/19350/19356/
19362/19368/19404/19410/19422/19428/19452/19458/19470/19476/19482/19488/19518/19524/19530/19554/19560/19572/19578/19620/
19668/19674/19680/19722/19770/19872/
你说的偶数都包含在其中了,观察计算一下是否有漏掉的再回答,可以参考上面的表,上面的表更有规律。
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 楼主| 发表于 2020-8-7 10:59 | 显示全部楼层
仅观察10098内的数据,因为再大的数据若有空白,继续算还可以覆盖的。
上一表中是从12开始两两相加的,结果每一行20个,10098内末尾一个数字都是8,说明按照此规律变化的数列中每一项都不缺少,p+5也在其中的,没有缺少的项。
验证结果:猜想成立。
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 楼主| 发表于 2020-8-7 11:02 | 显示全部楼层
两个表比较,再和孪中数据比较,缺少的p+5仅是8,12,18这3个数.
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发表于 2020-8-7 11:57 | 显示全部楼层
非常感谢 ysr 的计算!我是把270个10000内的孪中(差10的素数对中点)打印出来,

再逐个对照两个孪中数之和 是否包含 这270个孪中数,检验结果,无有缺漏。

只要孪中( 和 )猜想正确,孪中( 差 )猜想自然就没问题了。
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 楼主| 发表于 2020-8-7 12:03 | 显示全部楼层
本帖最后由 ysr 于 2020-8-7 04:06 编辑

是的,孪中和猜想成立,孪中差猜想就更成立了。
下面是程序代码,代码如下:(仅发主程序,可调用程序就是判定素数的程序就不发了)
Private Sub Command1_Click()
Dim a, b
a = Val(Text1)
a1 = a
q = Val(Text2)
m = Sqr(q)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If
s = 0
Do While a <= m
b = a + 10
c = fenjieyinzi0(Val(a))
d = fenjieyinzi0(Val(b))
If InStr(c, "*") = 0 And InStr(d, "*") = 0 Then
s = s + 1
Print a, b, a + 5
Text3 = Text3 & "/" & a + 5
Else
s = s
End If
a = a + 2
Loop
a2 = a
s1 = s
Do While a2 <= q
B1 = a2 + 10
c1 = fenjieyinzi0(Val(a2))
D1 = fenjieyinzi0(Val(B1))

If InStr(c1, "*") = 0 And InStr(D1, "*") = 0 Then
s1 = s1 + 1
Print a2, B1, a2 + 5
Text3 = Text3 & "/" & a2 + 5
Else
s1 = s1
End If
a2 = a2 + 2

Loop
Combo1 = a1 & "与" & q & "之间有" & s1 & "对孪生(10)素数对:" & vbCrLf & Text3
s103 = Text3
s103 = Mid(s103, 1)
Dim i As Integer
Dim ak(), s105, cr(), f
Set f = CreateObject("Scripting.Dictionary")
s105 = Split(s103, "/")
   j1 = UBound(s105)
   Print j1
   For k = 1 To j1
      n1 = n1 + 1
       ReDim Preserve ak(1 To n1)
      ak(n1) = s105(n1)
    Next
    Print ak(1)
     n = 0
        For k = 1 To j1
           For i = 1 To j1
             n = n + 1
             ReDim Preserve cr(1 To n)
            m = Val(ak(k)) + Val(ak(i))
            f(m) = ""
      Next
    Next
      n = 0
      m = f.Keys
      For i = 0 To f.Count - 1
          ReDim Preserve cr(1 To i + 1)
          cr(i + 1) = m(i)
      Next
     For i = 1 To UBound(cr) - 1
        For j = i + 1 To UBound(cr)
            If cr(i) > cr(j) Then
                temp = cr(j)
                cr(j) = cr(i)
                cr(i) = temp  'c数组是排序好的
            End If
        Next j
        
       ' If i Mod 20 = 0 Then
       ' s104 = s104 & temp & "/" & vbCrLf
       ' Else
       ' s104 = s104 & temp & "/"
       ' End If
    Next i
   
      For i = 1 To UBound(cr)
        If i Mod 20 = 0 Then
          s104 = s104 & cr(i) & "/" & vbCrLf
        Else
          s104 = s104 & cr(i) & "/"
        End If
     Next
         Print temp
         MsgBox "ok"
     MsgBox s104  '显示数组
Text4 = s104
End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub
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发表于 2020-8-8 08:22 | 显示全部楼层
本帖最后由 蔡家雄 于 2020-8-8 11:26 编辑

请 ysr 编程验证

定义:素数对\(( P, P+6 )\)的中项\((P+3)\),叫:孪中数,

孪中数猜想:所有 >=26 的孪中数均可表为两个孪中数之和,

即:\(P_n+3=\left(P_1+3\right)+\left(P_2+3\right)\)


请 ysr 编程验证

定义:素数对\(( P, P+14 )\)的中项\((P+7)\),叫:孪中数,

孪中数猜想:所有 >=36 的孪中数均可表为两个孪中数之和,

即:\(P_n+7=\left(P_1+7\right)+\left(P_2+7\right)\)

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