帮忙，3个数分成素数乘积形式，谢谢

太阳 · 发表于 2021-3-5 08:55

47368421052631578947368421052631578947368421052631578947368421052631579

47368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579

47368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579

帮忙，3个数分成素数乘积形式，谢谢

yangchuanju · 发表于 2021-3-5 09:01

本帖最后由 yangchuanju 于 2021-3-5 09:03 编辑

仅可提供
第1数有一个10位素因子：P10 = 1021624687
第2数有一个12位素因子：P12 = 140725352693

太阳 · 发表于 2021-3-5 09:16

yangchuanju 发表于 2021-3-5 09:01
仅可提供
第1数有一个10位素因子：P10 = 1021624687
第2数有一个12位素因子：P12 = 140725352693

帮忙提供一下，所有素数乘积形式写一下

太阳 · 发表于 2021-3-5 10:08

数学软件分解基本都70-80位数据，在大点数据很难分解

费尔马1 · 发表于 2021-3-6 07:31

本帖最后由费尔马1 于 2021-3-6 07:37 编辑

请问楼主，这些数是怎么来的？为什么要分解因数？数字过大了，是没有办法分解的！也就是说，数字太大了，没有办法判断它是否为素数？
即使采用程序，最好的方法是把各个数先开平方，平方根取整，再试除(筛选)。不过，这个过程非人力所能。

太阳 · 发表于 2021-3-6 07:42

你给140位数据900...01，因式分解，(这些数字，900...01，分解出来数字)

费尔马1 · 发表于 2021-3-6 07:56

哈哈，这个数字学生是不能解决啊！因为我不会程序，也没有那么大的素数表。再说了，研究这个题有什么意义吗？会分解较小的数字就行了，只要会方法即可，不要再受累了！

费尔马1 · 发表于 2021-3-6 08:03

yangchuanju猜想及其证明，是数论界的一道大题啊！千万不要小看此题。得请老师们帮忙找个刊物发表了，以便传承下去。说实话，此题即使让怀尔斯、望月新一等大数学家来解，哈哈，估计他们不一定能行啊！

yangchuanju · 发表于 2021-3-9 11:36

太阳发表于 2021-3-5 09:16
帮忙提供一下，所有素数乘积形式写一下

帮忙帮到底4
太阳老师的3个数字很特别，分别分成4,6,9段，除末段一个数字由89变成9外，各段全相同，每段17位数字，试分解如下，共参考！
三数字如下：
473684210526315789
473684210526315789
473684210526315789
47368421052631579

473684210526315789
473684210526315789
473684210526315789
473684210526315789
473684210526315789
47368421052631579

473684210526315789
473684210526315789
473684210526315789
473684210526315789
473684210526315789
473684210526315789
473684210526315789
473684210526315789
47368421052631579

yangchuanju · 发表于 2021-3-9 11:39

本帖最后由 yangchuanju 于 2021-3-9 11:43 编辑

分解式如下：
1段数=================================
47368421052631579 is prime
cputime 0:00:00:04
2段数=================================
47368421052631578947368421052631579=P4 * P14 * P19
P4 = 1289
P14 = 36477404545339
P19 = 1007423463151225049
cputime 0:00:02:70
3段数=================================
47368421052631578947368421052631578947368421052631579=P3 * P3 * P9 * P39
P3 = 317
P3 = 373
P9 = 621654619
P39 = 644423915856720982631763433468126261601
cputime 0:00:00:18
4段数（原第1数）=================================
47368421052631578947368421052631578947368421052631578947368421052631579=P10 * C62
P10 = 1021624687
C62 = 46365775666334870926399629037773613381142209078813674896413717
cputime 0:00:08:84
5段数=================================
47368421052631578947368421052631578947368421052631578947368421052631578947368421052631579=P4 * P4 * P83
P4 = 1013
P4 = 1637
P83 = 28564773432627871239776865954944655910167469236294439209861550034422138918173953059
cputime 0:00:00:64
6段数（原第2数）=================================
47368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579=P12 * C96
P12 = 140725352693
C96 = 336601899701529703434021871004838007731653651820999518518992617044366642164251527562746976439503
cputime 0:00:27:82
7段数=================================
47368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579=P2 * P2 * P4 * P7 * P113
P2 = 23
P2 = 47
P4 = 1091
P7 = 2340179
P113 = 17162849181227637954686586305558908249546272559153601351238220969425254370779811594520448516673293863019660069131
cputime 0:00:05:01
8段数=================================
47368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579=P5 * P138
P5 = 77489
P138 = 611292196990948120989668482657300764590695725233666442299789919248300777495753217264793440970568997569094696632662972197751667299467292811
cputime 0:00:07:25
9段数（原第3数）=================================
47368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579=P2 * P15 * C145
P2 = 19
P15 = 268115868282277
C145 = 9298497728672348738654088152725043047653335440887426945669034198013979457141066603768096625347093326453497719648788386059162812868886287742455333
cputime 0:00:32:96
10段数=================================
47368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579=P7 * C172
P7 = 5534131
C172 = 8559324138266979756599260308914187059787421196323610508563751210918494511128923592996186564316677912509042331554569462239252910234401941810119591922999483140456730671612409
cputime 0:00:34:89

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帮忙，3个数分成素数乘积形式，谢谢

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