孪中比猜想（专贴）

ysr

蔡家雄 发表于 2021-7-3 19:51
你的 a=6b=12而6与10000之间的素数打头有1组差为2和d*m-m和2的4生素数对: (用时0.4316406秒）k=
/110879 ...

改了一下，从3开始，包括不是6的倍数了，结果如下：

a=6b=12而3与10000之间的素数打头有16组差为2和d*m-m和2的4生素数对: (用时2.519531秒）b2=
/59/61/29/31/5
/1319/1321/659/661/110
/1619/1621/809/811/135
/4259/4261/2129/2131/355
/5099/5101/2549/2551/425
/6659/6661/3329/3331/555
/6779/6781/3389/3391/565
/11699/11701/5849/5851/975
/12539/12541/6269/6271/1045
/21059/21061/10529/10531/1755
/66359/66361/33179/33181/5530
/83219/83221/41609/41611/6935
/88259/88261/44129/44131/7355
/107099/107101/53549/53551/8925
/110879/110881/55439/55441/9240
/114659/114661/57329/57331/9555

ysr

a=12b=18而3与10000之间的素数打头有65组差为2和d*m-m和2的4生素数对: (用时3.078125秒）b2=
/107/109/71/73/6
/269/271/179/181/15
/521/523/347/349/29
/2141/2143/1427/1429/119
/3167/3169/2111/2113/176
/5651/5653/3767/3769/314
/8819/8821/5879/5881/490
/15137/15139/10091/10093/841
/15641/15643/10427/10429/869
/17027/17029/11351/11353/946
/17747/17749/11831/11833/986
/17909/17911/11939/11941/995
/18917/18919/12611/12613/1051
/20897/20899/13931/13933/1161
/23039/23041/15359/15361/1280
/23831/23833/15887/15889/1324
/25469/25471/16979/16981/1415
/28619/28621/19079/19081/1590
/31121/31123/20747/20749/1729
/35531/35533/23687/23689/1974
/37547/37549/25031/25033/2086
/40427/40429/26951/26953/2246
/42461/42463/28307/28309/2359
/49409/49411/32939/32941/2745
/50021/50023/33347/33349/2779
/51767/51769/34511/34513/2876
/53171/53173/35447/35449/2954
/71549/71551/47699/47701/3975
/71711/71713/47807/47809/3984
/72467/72469/48311/48313/4026
/74609/74611/49739/49741/4145
/79631/79633/53087/53089/4424
/79901/79903/53267/53269/4439
/81017/81019/54011/54013/4501
/84059/84061/56039/56041/4670
/86291/86293/57527/57529/4794
/87587/87589/58391/58393/4866
/88811/88813/59207/59209/4934
/97379/97381/64919/64921/5410
/97649/97651/65099/65101/5425
/103067/103069/68711/68713/5726
/108377/108379/72251/72253/6021
/115901/115903/77267/77269/6439
/116531/116533/77687/77689/6474
/117809/117811/78539/78541/6545
/118169/118171/78779/78781/6565
/120941/120943/80627/80629/6719
/129527/129529/86351/86353/7196
/131939/131941/87959/87961/7330
/136691/136693/91127/91129/7594
/136709/136711/91139/91141/7595
/140867/140869/93911/93913/7826
/146681/146683/97787/97789/8149
/148301/148303/98867/98869/8239
/149561/149563/99707/99709/8309
/150587/150589/100391/100393/8366
/155717/155719/103811/103813/8651
/160649/160651/107099/107101/8925
/162287/162289/108191/108193/9016
/163061/163063/108707/108709/9059
/164429/164431/109619/109621/9135
/166841/166843/111227/111229/9269
/175391/175393/116927/116929/9744
/176507/176509/117671/117673/9806
/179657/179659/119771/119773/9981

ysr

ysr 发表于 2021-7-3 22:42
a=12b=18而3与10000之间的素数打头有65组差为2和d*m-m和2的4生素数对: (用时3.078125秒）b2=
/107/109/71/ ...

b1=6b2=12和b1=12b2=18有唯一共同解8925.

哈哈！

ysr

a=3b=5而2与10000之间的素数打头有21组差为2和d*m-m和2的4生素数对: (用时1.429688秒）b2=
/29/31/17/19/6
/179/181/107/109/36
/2129/2131/1277/1279/426
/3119/3121/1871/1873/624
/3329/3331/1997/1999/666
/4649/4651/2789/2791/930
/5279/5281/3167/3169/1056
/5879/5881/3527/3529/1176
/8219/8221/4931/4933/1644
/9419/9421/5651/5653/1884
/10499/10501/6299/6301/2100
/27749/27751/16649/16651/5550
/30869/30871/18521/18523/6174
/32369/32371/19421/19423/6474
/33149/33151/19889/19891/6630
/36929/36931/22157/22159/7386
/38669/38671/23201/23203/7734
/42179/42181/25307/25309/8436
/45179/45181/27107/27109/9036
/46829/46831/28097/28099/9366
/47699/47701/28619/28621/9540

ysr

a=5b=7而2与10000之间的素数打头有22组差为2和d*m-m和2的4生素数对: (用时1.476563秒）b2=
/41/43/29/31/6
/1427/1429/1019/1021/204
/1721/1723/1229/1231/246
/2267/2269/1619/1621/324
/2729/2731/1949/1951/390
/3821/3823/2729/2731/546
/4157/4159/2969/2971/594
/5501/5503/3929/3931/786
/8231/8233/5879/5881/1176
/8819/8821/6299/6301/1260
/13901/13903/9929/9931/1986
/21377/21379/15269/15271/3054
/23561/23563/16829/16831/3366
/26711/26713/19079/19081/3816
/32717/32719/23369/23371/4674
/45317/45319/32369/32371/6474
/49391/49393/35279/35281/7056
/50021/50023/35729/35731/7146
/51827/51829/37019/37021/7404
/59051/59053/42179/42181/8436
/60647/60649/43319/43321/8664
/68879/68881/49199/49201/9840

ysr

b1=3b2=5和b1=5b2=7在2~10000之间有4个相同的解：6，1176，6474，8436.

蔡家雄

三等差整数连比表为三等差孪中数连比

定义：若 m+1 与 m-1 都是素数，则称 m 为孪中数。

设：a=6,   b=6,

求：a : (a+b) : (a+2b) = m1 : m2 : m3

解：k = 8925 ,

蔡家雄

三等差整数连比表为三等差孪中数连比

定义：若 m+1 与 m-1 都是素数，则称 m 为孪中数。

设：a=3,   b=2,

求：a : (a+b) : (a+2b) = 3 : 5 : 7 = m1 : m2 : m3 ,

解：k = 6,  1176,  6474,  8436,  ......

蔡家雄

ysr 发表于 2021-7-4 06:59
b1=3b2=5和b1=5b2=7在2~10000之间有4个相同的解：6，1176，6474，8436.

三等差整数连比表为三等差孪中数连比

定义：若 m+1 与 m-1 都是素数，则称 m 为孪中数。

设：a=18,   b=12,

求：a : (a+b) : (a+2b) = 18 : 30 : 42 = m1 : m2 : m3 ,

解：k = 196，—— 请你找出大于 196 的解，

ysr

a=18b=30而2与10000之间的素数打头有62组差为2和d*m-m和2的4生素数对: (用时3.960938秒）b2=
/179/181/107/109/6
/2129/2131/1277/1279/71
/3119/3121/1871/1873/104
/3329/3331/1997/1999/111
/4649/4651/2789/2791/155
/5279/5281/3167/3169/176
/5879/5881/3527/3529/196
/8219/8221/4931/4933/274
/9419/9421/5651/5653/314
/10499/10501/6299/6301/350
/27749/27751/16649/16651/925
/30869/30871/18521/18523/1029
/32369/32371/19421/19423/1079
/33149/33151/19889/19891/1105
/36929/36931/22157/22159/1231
/38669/38671/23201/23203/1289
/42179/42181/25307/25309/1406
/45179/45181/27107/27109/1506
/46829/46831/28097/28099/1561
/47699/47701/28619/28621/1590
/51419/51421/30851/30853/1714
/51869/51871/31121/31123/1729
/59219/59221/35531/35533/1974
/59669/59671/35801/35803/1989
/62969/62971/37781/37783/2099
/69929/69931/41957/41959/2331
/70949/70951/42569/42571/2365
/82349/82351/49409/49411/2745
/87149/87151/52289/52291/2905
/88799/88801/53279/53281/2960
/92219/92221/55331/55333/3074
/92399/92401/55439/55441/3080
/102299/102301/61379/61381/3410
/109199/109201/65519/65521/3640
/115319/115321/69191/69193/3844
/124349/124351/74609/74611/4145
/132329/132331/79397/79399/4411
/147449/147451/88469/88471/4915
/162749/162751/97649/97651/5425
/163979/163981/98387/98389/5466
/168599/168601/101159/101161/5620
/170099/170101/102059/102061/5670
/180179/180181/108107/108109/6006
/185819/185821/111491/111493/6194
/186299/186301/111779/111781/6210
/196169/196171/117701/117703/6539
/199499/199501/119699/119701/6650
/204329/204331/122597/122599/6811
/225779/225781/135467/135469/7526
/226199/226201/135719/135721/7540
/242519/242521/145511/145513/8084
/246119/246121/147671/147673/8204
/250499/250501/150299/150301/8350
/254729/254731/152837/152839/8491
/256799/256801/154079/154081/8560
/262049/262051/157229/157231/8735
/264599/264601/158759/158761/8820
/271769/271771/163061/163063/9059
/288929/288931/173357/173359/9631
/294179/294181/176507/176509/9806
/296729/296731/178037/178039/9891
/299699/299701/179819/179821/9990