数论问题巅峰对决

ysr

7946/7948/7950/7952/7954/7956/7958/7960/7962/7964/7966/7968/7970/7972/7974/7976/7978/7980/7982/7984/
7986/7988/7990/7992/7994/7996/7998/8000/8002/8004/8006/8008/8010/8014/8016/8018/8020/8022/8024/8026/
8028/8030/8032/8034/8036/8038/8040/8042/8044/8046/8048/8050/8052/8054/8056/8058/8060/8062/8064/8066/
8068/8070/8072/8074/8076/8078/8080/8082/8084/8086/8088/8090/8092/8094/8096/8098/8100/8102/8104/8106/
8108/8110/8112/8114/8116/8118/8120/8122/8124/8126/8128/8130/8132/8134/8136/8138/8140/8142/8144/8146/
8148/8150/8152/8154/8156/8158/8160/8162/8164/8166/8168/8170/8172/8174/8176/8178/8180/8182/8184/8186/
8188/8190/8192/8194/8196/8198/8200/8202/8204/8206/8208/8210/8212/8214/8216/8218/8220/8222/8224/8226/
8228/8230/8232/8234/8236/8238/8240/8242/8244/8246/8248/8250/8252/8254/8256/8258/8260/8262/8264/8266/
8268/8270/8272/8274/8276/8278/8280/8282/8284/8286/8288/8290/8292/8294/8296/8298/8300/8302/8304/8306/
8308/8310/8312/8314/8316/8318/8320/8322/8324/8326/8328/8330/8332/8334/8336/8338/8340/8342/8344/8346/
8348/8350/8352/8354/8356/8358/8360/8362/8364/8366/8368/8370/8372/8374/8376/8378/8380/8382/8384/8386/
8388/8390/8392/8394/8396/8398/8400/8402/8404/8406/8408/8410/8412/8414/8416/8418/8420/8422/8424/8426/
8428/8430/8432/8434/8436/8438/8440/8442/8444/8446/8448/8450/8452/8454/8456/8458/8460/8462/8464/8466/
8468/8470/8472/8474/8476/8478/8480/8482/8484/8486/8488/8490/8492/8494/8496/8498/8500/8502/8504/8506/
8508/8510/8512/8514/8516/8518/8520/8522/8524/8526/8528/8530/8532/8534/8536/8538/8540/8542/8544/8546/
8548/8550/8552/8554/8556/8558/8560/8562/8564/8566/8568/8570/8572/8574/8576/8578/8580/8582/8584/8586/
8588/8590/8592/8594/8596/8598/8600/8602/8604/8606/8608/8610/8612/8614/8616/8618/8620/8622/8624/8626/
8628/8630/8632/8634/8636/8638/8640/8642/8644/8646/8648/8650/8652/8654/8656/8658/8660/8662/8664/8666/
8668/8670/8672/8674/8676/8678/8680/8682/8684/8686/8688/8690/8692/8694/8696/8698/8700/8702/8704/8706/
8708/8710/8712/8714/8716/8718/8720/8722/8724/8726/8728/8730/8732/8734/8736/8738/8740/8742/8744/8746/
8748/8750/8752/8754/8756/8758/8760/8762/8764/8766/8768/8770/8772/8774/8776/8778/8780/8782/8784/8786/
8788/8790/8792/8794/8796/8798/8800/8802/8804/8806/8808/8810/8812/8814/8816/8818/8820/8822/8824/8826/
8828/8830/8832/8834/8836/8838/8840/8842/8844/8846/8848/8850/8852/8854/8856/8858/8860/8862/8864/8866/
8868/8870/8872/8874/8876/8878/8880/8882/8884/8886/8888/8890/8892/8894/8896/8898/8900/8902/8904/8906/
8908/8910/8912/8914/8916/8918/8920/8922/8924/8926/8928/8930/8932/8934/8936/8938/8940/8942/8944/8946/
8948/8950/8952/8954/8956/8958/8960/8962/8964/8966/8968/8970/8972/8974/8976/8978/8980/8982/8984/8986/
8988/8990/8992/8994/8996/8998/9000/9002/9004/9006/9008/9010/9012/9014/9016/9018/9020/9022/9024/9026/
9028/9030/9032/9034/9036/9038/9040/9042/9044/9046/9048/9050/9052/9054/9056/9058/9060/9062/9064/9066/
9068/9070/9072/9074/9076/9078/9080/9082/9084/9086/9088/9090/9092/9094/9096/9098/9100/9102/9104/9106/
9108/9110/9112/9114/9116/9118/9120/9122/9124/9126/9128/9130/9132/9134/9136/9138/9140/9142/9144/9146/
9148/9150/9152/9154/9156/9158/9160/9162/9164/9166/9168/9170/9172/9174/9176/9178/9180/9182/9184/9186/
9188/9190/9192/9194/9196/9198/9200/9202/9204/9206/9208/9210/9212/9214/9216/9218/9220/9222/9224/9226/
9228/9230/9232/9234/9236/9238/9240/9242/9244/9246/9248/9250/9252/9254/9256/9258/9260/9262/9264/9266/
9268/9270/9272/9274/9276/9278/9280/9282/9284/9286/9288/9290/9292/9294/9296/9298/9300/9302/9304/9306/
9308/9310/9312/9314/9316/9318/9320/9322/9324/9326/9328/9330/9332/9334/9336/9338/9340/9342/9344/9346/
9348/9350/9352/9354/9356/9358/9360/9362/9364/9366/9368/9370/9372/9374/9376/9378/9380/9382/9384/9386/
9388/9390/9392/9394/9396/9398/9400/9402/9404/9406/9408/9410/9412/9414/9416/9418/9420/9422/9424/9426/
9428/9430/9432/9434/9436/9438/9440/9442/9444/9446/9448/9450/9452/9454/9456/9458/9460/9462/9464/9466/
9468/9470/9472/9474/9476/9478/9480/9482/9484/9486/9488/9490/9492/9494/9496/9498/9500/9502/9504/9506/
9508/9510/9512/9514/9516/9518/9520/9522/9524/9526/9528/9530/9532/9534/9536/9538/9540/9542/9544/9546/
9548/9550/9552/9554/9556/9558/9560/9562/9564/9566/9568/9570/9572/9574/9576/9578/9580/9582/9584/9586/
9588/9590/9592/9594/9596/9598/9600/9602/9604/9606/9608/9610/9612/9614/9616/9618/9620/9622/9624/9626/
9628/9630/9632/9634/9636/9638/9640/9642/9644/9646/9648/9650/9652/9654/9656/9658/9660/9662/9664/9666/
9668/9670/9672/9674/9676/9678/9680/9682/9684/9686/9688/9690/9692/9694/9696/9698/9700/9702/9704/9706/
9708/9710/9712/9714/9716/9718/9720/9722/9724/9726/9728/9730/9732/9734/9736/9738/9740/9742/9744/9746/
9748/9750/9752/9754/9756/9758/9760/9762/9764/9766/9768/9770/9772/9774/9776/9778/9780/9782/9784/9786/
9788/9790/9792/9794/9796/9798/9800/9802/9804/9806/9808/9810/9812/9814/9816/9818/9820/9822/9824/9826/
9828/9830/9832/9834/9836/9838/9840/9842/9844/9846/9848/9850/9852/9854/9856/9858/9860/9862/9864/9866/
9868/9870/9872/9874/9876/9878/9880/9882/9884/9886/9888/9890/9892/9894/9896/9898/9900/9902/9904/9906/
9908/9910/9912/9914/9916/9918/9920/9922/9924/9926/9928/9930/9932/9934/9936/9938/9940/9942/9944/9946/
9948/9950/9952/9954/9956/9958/9960/9962/9964/9966/9968/9970/9972/9974/9976/9978/9980/9982/9984/9986/
9988/9990/9992/9994/9996/9998/10000/10002/10004/10006/10008/10010/10012/10014/10016/10018/10020/10022/10024/10026/
10028/10030/10032/10034/10036/10038/10040/10042/10044/10046/10048/10050/10052/10054/10056/10058/10060/10062/10064/10066/
10068/10070/10072/10074/10076/10078/10080/10082/10084/10086/10088/10090/10092/10094/10096/10098/10100/10102/10104/10106/
10108/10110/10112/10114/10116/10118/10120/10122/10124/10126/10128/10130/10132/10134/10136/10138/10140/10142/10144/10146/
10148/10150/10152/10154/10156/10158/10160/10162/10164/10166/10168/10170/10172/10174/10176/10178/10180/10182/10184/10186/
10188/10190/10192/10194/10196/10198/10200/10202/10204/10206/10208/10210/10212/10214/10216/10218/10220/10222/10224/10226/
10228/10230/10232/10234/10236/10238/10240/10242/10244/10246/10248/10250/10252/10254/10256/10258/10260/10262/10264/10266/
10268/10270/10272/10274/10276/10278/10280/10282/10284/10286/10288/10290/10292/10294/10296/10298/10300/10302/10304/10306/
10308/10310/10312/10314/10316/10318/10320/10322/10324/10326/10328/10330/10332/10334/10336/10338/10340/10342/10344/10346/
10348/10350/10352/10354/10356/10358/10360/10362/10364/10366/10368/10370/10372/10374/10376/10378/10380/10382/10384/10386/

仍然是从8014开始，不再缺项了。仅考察10000内的。

蔡家雄

蔡家雄

所以说，一般人是不喜欢从起点大的，，，，，，

蔡家雄

—— 就是说奇数孪中p+6两两相加可以全覆盖大于等于19248的偶数。

ysr

1与20000之间有688对p,p+12素数对（仅显示孪中p+6）:
/11
/13
/17
/23
/25
/35
/37
/47
/53
/65
/67
/73
/77
/95
/103
/107
/133
/143
/145
/157
/173
/185
/187
/205
/217
/233
/235
/245
/257
/263
/275
/277
/287
/343
/353
/373
/395
/403
/415
/425
/427
/437
/455
/473
/485
/493
/497
/515
/563
/593
/607
/613
/625
/637
/647
/653
/667
/733
/745
/763
/767
/803
/815
/817
/833
/913
/935
/947
/977
/1003
/1015
/1025
/1027
/1045
/1055
/1057
/1097
/1103
/1123
/1157
/1187
/1207
/1223
/1243
/1283
/1285
/1295
/1297
/1313
/1367
/1433
/1445
/1453
/1465
/1477
/1487
/1493
/1505
/1517
/1537
/1565
/1573
/1577
/1603
/1607
/1613
/1615
/1663
/1703
/1715
/1727
/1747
/1753
/1783
/1795
/1817
/1867
/1873
/1883
/1895
/1907
/1993
/2005
/2023
/2033
/2075
/2093
/2105
/2135
/2137
/2147
/2245
/2275
/2287
/2303
/2345
/2377
/2383
/2387
/2405
/2417
/2453
/2537
/2545
/2585
/2615
/2627
/2653
/2665
/2677
/2683
/2693
/2705
/2713
/2725
/2735
/2747
/2783
/2795
/2797
/2903
/2933
/2963
/3005
/3017
/3043
/3055
/3073
/3115
/3175
/3197
/3215
/3223
/3265
/3307
/3313
/3325
/3337
/3353
/3365
/3367
/3455
/3463
/3505
/3523
/3533
/3535
/3553
/3565
/3577
/3587
/3637
/3665
/3703
/3733
/3773
/3827
/3857
/3883
/3913
/3917
/3923
/3925
/3937
/3995
/4007
/4013
/4085
/4105
/4133
/4223
/4225
/4235
/4237
/4247
/4265
/4267
/4277
/4333
/4343
/4403
/4415
/4457
/4487
/4513
/4555
/4597
/4643
/4645
/4657
/4685
/4697
/4727
/4793
/4795
/4807
/4883
/4925
/4937
/4963
/4993
/5005
/5015
/5017
/5045
/5093
/5107
/5113
/5173
/5203
/5267
/5303
/5387
/5393
/5413
/5425
/5437
/5443
/5477
/5513
/5525
/5563
/5575
/5645
/5647
/5653
/5663
/5695
/5743
/5785
/5807
/5833
/5845
/5855
/5863
/5873
/5875
/5933
/6073
/6085
/6095
/6107
/6127
/6137
/6157
/6205
/6223
/6263
/6293
/6305
/6317
/6323
/6367
/6373
/6475
/6557
/6575
/6613
/6667
/6685
/6695
/6697
/6785
/6787
/6797
/6835
/6863
/6877
/6905
/6953
/6955
/6965
/6977
/7007
/7033
/7063
/7115
/7213
/7303
/7315
/7327
/7483
/7493
/7523
/7535
/7543
/7553
/7555
/7567
/7583
/7597
/7675
/7693
/7697
/7747
/7823
/7835
/7847
/7873
/7913
/7943
/7957
/8075
/8087
/8095
/8117
/8173
/8185
/8215
/8225
/8227
/8237
/8323
/8383
/8425
/8437
/8507
/8533
/8603
/8635
/8675
/8683
/8687
/8713
/8725
/8747
/8813
/8825
/8843
/8855
/8935
/8957
/9005
/9007
/9035
/9097
/9167
/9193
/9215
/9233
/9287
/9317
/9343
/9397
/9425
/9427
/9467
/9473
/9485
/9527
/9545
/9607
/9625
/9637
/9655
/9683
/9727
/9775
/9797
/9823
/9845
/9865
/9877
/9935
/10073
/10085
/10097
/10105
/10145
/10157
/10175
/10187
/10217
/10253
/10265
/10295
/10307
/10327
/10337
/10363
/10493
/10507
/10595
/10607
/10633
/10645
/10657
/10717
/10853
/10897
/10943
/11053
/11063
/11065
/11077
/11125
/11155
/11165
/11167
/11245
/11267
/11293
/11305
/11323
/11405
/11417
/11477
/11497
/11627
/11683
/11695
/11725
/11737
/11783
/11795
/11807
/11827
/11833
/11903
/11933
/11947
/11965
/11975
/12043
/12103
/12107
/12113
/12155
/12233
/12245
/12247
/12257
/12275
/12283
/12295
/12385
/12407
/12415
/12427
/12485
/12497
/12533
/12547
/12583
/12595
/12607
/12647
/12653
/12665
/12815
/12835
/12847
/12905
/12913
/12917
/12947
/12973
/13043
/13115
/13153
/13157
/13165
/13177
/13223
/13235
/13303
/13333
/13405
/13457
/13463
/13493
/13675
/13685
/13687
/13703
/13715
/13717
/13757
/13835
/13907
/13927
/14003
/14005
/14077
/14287
/14395
/14413
/14417
/14425
/14443
/14455
/14543
/14555
/14557
/14627
/14633
/14663
/14747
/14753
/14765
/14773
/14777
/14837
/14873
/14885
/14945
/14963
/15067
/15143
/15155
/15167
/15193
/15265
/15283
/15293
/15313
/15325
/15355
/15367
/15407
/15433
/15445
/15467
/15575
/15613
/15635
/15655
/15673
/15677
/15733
/15743
/15755
/15767
/15797
/15803
/15883
/15895
/15907
/15913
/15965
/16063
/16067
/16097
/16133
/16223
/16355
/16375
/16427
/16487
/16567
/16613
/16625
/16655
/16667
/16697
/16735
/16753
/16817
/16837
/16877
/16895
/16937
/16987
/17027
/17035
/17047
/17197
/17327
/17383
/17395
/17425
/17437
/17477
/17483
/17503
/17545
/17575
/17603
/17663
/17675
/17743
/17755
/17833
/17845
/17857
/17897
/17915
/17917
/17965
/17983
/18053
/18055
/18083
/18125
/18127
/18137
/18175
/18205
/18217
/18223
/18263
/18295
/18307
/18335
/18347
/18373
/18407
/18433
/18445
/18487
/18547
/18685
/18707
/18725
/18737
/18905
/18953
/19007
/19075
/19213
/19225
/19243
/19295
/19385
/19397
/19423
/19427
/19435
/19463
/19477
/19483
/19495
/19537
/19547
/19565
/19577
/19603
/19693
/19703
/19733
/19745
/19757
/19807
/19847
/19943
/19955
/19967
/19985

ysr

篇幅关系，仅发19008~20008之间的，因为我们只算到1~20000内的：
19008/19010/19012/19014/19016/19018/19020/19022/19024/19026/19028/19030/19032/19034/19036/19038/19040/19042/19044/19046/
19048/19050/19052/19054/19056/19058/19060/19062/19064/19066/19068/19070/19072/19074/19076/19078/19080/19082/19084/19086/
19088/19090/19092/19094/19096/19098/19100/19102/19104/19106/19108/19110/19112/19114/19116/19118/19120/19122/19124/19126/
19128/19130/19132/19134/19136/19138/19140/19142/19144/19146/19148/19150/19152/19154/19156/19158/19160/19162/19164/19166/
19168/19170/19172/19174/19176/19178/19180/19182/19184/19186/19188/19190/19192/19194/19196/19198/19200/19202/19204/19206/
19208/19210/19212/19214/19216/19218/19220/19222/19224/19226/19228/19230/19232/19234/19236/19238/19240/19242/19244/19248/
19250/19252/19254/19256/19258/19260/19262/19264/19266/19268/19270/19272/19274/19276/19278/19280/19282/19284/19286/19288/
19290/19292/19294/19296/19298/19300/19302/19304/19306/19308/19310/19312/19314/19316/19318/19320/19322/19324/19326/19328/
19330/19332/19334/19336/19338/19340/19342/19344/19346/19348/19350/19352/19354/19356/19358/19360/19362/19364/19366/19368/
19370/19372/19374/19376/19378/19380/19382/19384/19386/19388/19390/19392/19394/19396/19398/19400/19402/19404/19406/19408/
19410/19412/19414/19416/19418/19420/19422/19424/19426/19428/19430/19432/19434/19436/19438/19440/19442/19444/19446/19448/
19450/19452/19454/19456/19458/19460/19462/19464/19466/19468/19470/19472/19474/19476/19478/19480/19482/19484/19486/19488/
19490/19492/19494/19496/19498/19500/19502/19504/19506/19508/19510/19512/19514/19516/19518/19520/19522/19524/19526/19528/
19530/19532/19534/19536/19538/19540/19542/19544/19546/19548/19550/19552/19554/19556/19558/19560/19562/19564/19566/19568/
19570/19572/19574/19576/19578/19580/19582/19584/19586/19588/19590/19592/19594/19596/19598/19600/19602/19604/19606/19608/
19610/19612/19614/19616/19618/19620/19622/19624/19626/19628/19630/19632/19634/19636/19638/19640/19642/19644/19646/19648/
19650/19652/19654/19656/19658/19660/19662/19664/19666/19668/19670/19672/19674/19676/19678/19680/19682/19684/19686/19688/
19690/19692/19694/19696/19698/19700/19702/19704/19706/19708/19710/19712/19714/19716/19718/19720/19722/19724/19726/19728/
19730/19732/19734/19736/19738/19740/19742/19744/19746/19748/19750/19752/19754/19756/19758/19760/19762/19764/19766/19768/
19770/19772/19774/19776/19778/19780/19782/19784/19786/19788/19790/19792/19794/19796/19798/19800/19802/19804/19806/19808/
19810/19812/19814/19816/19818/19820/19822/19824/19826/19828/19830/19832/19834/19836/19838/19840/19842/19844/19846/19848/
19850/19852/19854/19856/19858/19860/19862/19864/19866/19868/19870/19872/19874/19876/19878/19880/19882/19884/19886/19888/
19890/19892/19894/19896/19898/19900/19902/19904/19906/19908/19910/19912/19914/19916/19918/19920/19922/19924/19926/19928/
19930/19932/19934/19936/19938/19940/19942/19944/19946/19948/19950/19952/19954/19956/19958/19960/19962/19964/19966/19968/
19970/19972/19974/19976/19978/19980/19982/19984/19986/19988/19990/19992/19994/19996/19998/20000/20002/20004/20006/20008/

ysr

从19248开始的，缺少19246，前面缺少的更多。后面应该是不缺少了。

蔡家雄

是不是缺了 19246

蔡家雄

蔡氏偶数分拆

的 k 连续取值1,2,3,4,5,6,7,8,9,10, 起点才970，小于1000, 有可能

蔡氏偶数分拆

的 k 连续取值1,2,3,4,5,6,7,8,9,10,11,12, 起点还是970，小于1000,

不知孪中数p+180, 如何？？？

蔡家雄