新型质数表可做成无限大，100以内图例

cuikun-186 · 发表于 2025-12-10 13:56

本帖最后由 cuikun-186 于 2025-12-10 13:57 编辑

30n+13 ： 30*1000+13=30013是素数？

yangchuanju · 发表于 2025-12-10 14:17

本帖最后由 yangchuanju 于 2025-12-10 17:27 编辑

重生888@ 发表于 2025-12-10 12:18
你看到3000031处是空白单元格吗？你没看到他是空白单元格，这么说他是质数？你这是一厢臆断！你做出了一 ...

位数分解式
2 31 is prime
3 331 is prime
4 3031=7*433
5 30031=59*509
6 300031=197*1523
7 3000031=131*22901
8 30000031=19*89*113*157
9 300000031 is prime
10 3000000031=7*428571433
11 30000000031=47*199*3207527
12 300000000031=149*2013422819
13 3000000000031=4871*615889961
14 30000000000031=233*727*177105041
15 300000000000031=1489*1693*119006203
16 3000000000000031=7*7*23*71*37492032943
17 30000000000000031=17*397*159793*27817883
18 300000000000000031=2381243*125984622317
19 3000000000000000031=43*461*151339353276497
20 30000000000000000031=711709*842879*50009621
21 300000000000000000031=139*4261*2560157*197846477
22 3000000000000000000031=7*311*267601*5149618942703
23 30000000000000000000031=227*467*1999*141568204132441
24 300000000000000000000031=246689*492713141*2468182819
25 3000000000000000000000031=1619*43080493*43012406481593
26 30000000000000000000000031=19*38897459*40592558203379111
27 300000000000000000000000031=29*2521*4103461954068582527459
28 3000000000000000000000000031=7*73477*5541671*1052521702894499
29 30000000000000000000000000031=7907*316649*6889639*1739141540203
30 300000000000000000000000000031=395858718257*757846135916687183
31 3000000000000000000000000000031=127*182114405507*129709932491784779
32 30000000000000000000000000000031=103*12780983*1256839847*18131754561577
33 300000000000000000000000000000031=17*132679*452773*1026883727*286067388427
34 3000000000000000000000000000000031=7*251*1459*10133*127592501*905171785419089
35 30000000000000000000000000000000031=1579*26183*220477643*3291206723238601681
36 300000000000000000000000000000000031=11471*26152907331531688606050039229361
37 3000000000000000000000000000000000031=191*773*1591086986473843*12770693148933919
38 30000000000000000000000000000000000031=23*823731286091729*1583462772520827945193
39 300000000000000000000000000000000000031=5717*1136751097379*46162325649546416466817
40 3000000000000000000000000000000000000031=7*43*857*11629845284291567974507379136832883
41 30000000000000000000000000000000000000031=288731*165660968687317*627202301319891838553
42 300000000000000000000000000000000000000031=1423*671458829*313976371298503655012963087093
43 3000000000000000000000000000000000000000031=193139417*15532821039839837561485442404540343
44 30000000000000000000000000000000000000000031=19*986630542307*1600343087625344668965220980407
45 300000000000000000000000000000000000000000031=303896016157373755873*987179772191037251138047
46 3000000000000000000000000000000000000000000031=7*56210794571*7624361687862264455101246652175323
47 30000000000000000000000000000000000000000000031=419*443*33844614752219398279*4775445912895641576217
48 300000000000000000000000000000000000000000000031=1774529*39767411*6662029733*169841032477*3757176937589
49 3000000000000000000000000000000000000000000000031=17*66813240889*222083251465993717*11893070345533168811
50 30000000000000000000000000000000000000000000000031=181*118017406604843*1404418730438273842813640635595657
51 300000000000000000000000000000000000000000000000031=71*831586361*5081074330746576948762834524271986036401
52 3000000000000000000000000000000000000000000000000031=7*89*107*1192781*37730166162231489245911704968301744120191
53 30000000000000000000000000000000000000000000000000031=1136575369*547585192035337399877*48202694900566442444987
54 300000000000000000000000000000000000000000000000000031=610183151*20787959177*112011294671*211148193987514329720743

重生888@ · 发表于 2025-12-10 16:16

yangchuanju 发表于 2025-12-10 14:17
31 is prime
331 is prime
3031=7*433

讲的是编制《新型质数表》的原理，并不是无规律瞎猜！空白单元格是自然生成，并不需要找！有记号的单元格就是合数，没有记号就是质数，对准位置，用公式还原！

重生888@ · 发表于 2025-12-10 16:21

本帖最后由重生888@ 于 2025-12-10 16:25 编辑

deepseek把《新型质数表》扩展到300以内：

表格（n=0 到 9）
用 [ ] 表示可能是质数（未标记合数），[X] 表示是合数（已标记）。

余数类    n=0 n=1 n=2 n=3 n=4 n=5 n=6 n=7 n=8 n=9
30n+7    [ ] [ ] [ ] [ ] [ ] [ ] [X] [X] [X] [ ]
30n+11    [ ] [ ] [ ] [ ] [ ] [X] [ ] [X] [ ] [ ]
30n+13 [ ] [ ] [ ] [ ] [X] [ ] [ ] [ ] [X] [ ]
30n+17 [ ] [ ] [X] [ ] [ ] [ ] [ ] [ ] [ ] [X]
30n+19 [ ] [X] [ ] [ ] [ ] [X] [ ] [ ] [X] [X]
30n+23 [ ] [ ] [ ] [ ] [X] [ ] [X] [ ] [ ] [ ]
30n+29 [ ] [ ] [ ] [X] [ ] [ ] [X] [ ] [ ] [X]
30n+31 [ ] [ ] [X] [X] [ ] [ ] [ ] [ ] [ ] [ ]

重生888@ · 发表于 2025-12-10 16:29

怎么不对齐？再发：
| 余数类 | n=0 | n=1 | n=2 | n=3 | n=4 | n=5 | n=6 | n=7 | n=8 | n=9 |
|----------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| 30n+7 | [ ] | [ ] | [ ] | [ ] | [ ] | [ ] | [X] | [X] | [X] | [ ] |
| 30n+11 | [ ] | [ ] | [ ] | [ ] | [ ] | [X] | [ ] | [X] | [ ] | [ ] |
| 30n+13 | [ ] | [ ] | [ ] | [ ] | [X] | [ ] | [ ] | [ ] | [X] | [ ] |
| 30n+17 | [ ] | [ ] | [X] | [ ] | [ ] | [ ] | [ ] | [ ] | [ ] | [X] |
| 30n+19 | [ ] | [X] | [ ] | [ ] | [ ] | [X] | [ ] | [ ] | [X] | [X] |
| 30n+23 | [ ] | [ ] | [ ] | [ ] | [X] | [ ] | [X] | [ ] | [ ] | [ ] |
| 30n+29 | [ ] | [ ] | [ ] | [X] | [ ] | [ ] | [X] | [ ] | [ ] | [X] |
| 30n+31 | [ ] | [ ] | [X] | [X] | [ ] | [ ] | [ ] | [ ] | [ ] | [ ] |

重生888@ · 发表于 2025-12-10 16:33

15楼第一行n=6.7.8是合数： 30*6+7=187 30*7+7=217 30*8+7=247

重生888@ · 发表于 2025-12-10 16:41

本帖最后由重生888@ 于 2025-12-10 16:42 编辑

15楼第一行，用0表示素数和用1表示合数：

30n+7 0000001110....... n=0.1.2.3.4.5.6.7.8.9......

重生888@ · 发表于 2025-12-10 17:01

yangchuanju: 上一条点评写错数了，应为——崔老师已经明确告诉你，3000031是合数，并给出分解式，还睁着两眼硬说它是素数？另外，300000031确实是素数。

我哪里说3000031是素数？您真是“睁着两眼”硬诋毁人！

yangchuanju · 发表于 2025-12-10 17:13

重生888@ 发表于 2025-12-10 17:01
yangchuanju: 上一条点评写错数了，应为——崔老师已经明确告诉你，3000031是合数，并给出分解式，还睁着 ...

请解释你在10楼中究竟说了些什么？

“你看到3000031处是空白单元格吗？你没看到他是空白单元格，这么说他是质数？你这是一厢臆断！你做出了一百万新型质数表了吗？没有表，胡说不可避免！”

重生888@ · 发表于 2025-12-10 18:48

你看到3000031处是空白单元格吗？

这是反问句，不理解吗？

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