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-   sweety439 (https://www.mersenneforum.org/forumdisplay.php?f=137)
-   -   xddd (https://www.mersenneforum.org/showthread.php?t=22644)

sweety439 2017-10-16 23:33

xddd
 
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Just store my file.

sweety439 2017-10-17 18:28

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Store my file.

sweety439 2017-10-18 01:24

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OK, tell you this "secret": :cmd::cmd::cmd:

This file is for the least k>1 such that phi(n,k) is prime, where phi is the cyclotomic polynomial, now, this file is completed to n=1606, I am continuing...

sweety439 2017-10-18 17:43

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Searched up to n=1828.

sweety439 2017-10-19 22:04

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Searched up to n=1972.

sweety439 2017-10-20 21:57

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Searched up to n = 2048 = 2^11.

sweety439 2017-10-27 06:10

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Searched up to n=2222.

sweety439 2017-11-01 17:23

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Searched up to n=2272.

sweety439 2017-11-01 19:17

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Store my CRUS pack file for the problem [URL="http://mersenneforum.org/showthread.php?t=10354"]http://mersenneforum.org/showthread.php?t=10354[/URL]

sweety439 2017-11-03 08:57

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[QUOTE=sweety439;470745]Searched up to n=2272.[/QUOTE]

Searched up to n=2338.

sweety439 2017-11-08 17:45

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Searched up to n=2380.

sweety439 2017-11-27 00:53

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Just store my file.

sweety439 2017-11-27 00:58

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Just store my file.

sweety439 2017-11-27 01:00

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sweety439 2017-11-27 01:13

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sweety439 2017-11-27 01:25

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sweety439 2017-11-27 11:47

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Just update my file.

sweety439 2017-12-01 21:58

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Just update file.

sweety439 2017-12-27 13:48

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[QUOTE=sweety439;471339]Searched up to n=2380.[/QUOTE]

Searched up to n=2500.

sweety439 2017-12-28 07:44

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Just store my file.

sweety439 2017-12-28 08:03

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sweety439 2017-12-28 08:21

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sweety439 2017-12-29 14:04

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sweety439 2017-12-29 14:11

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sweety439 2018-01-17 05:03

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sweety439 2018-01-21 22:55

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sweety439 2018-01-22 01:27

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333333333

sweety439 2018-01-27 23:30

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123

sweety439 2018-02-27 21:14

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sweety439 2018-03-01 20:29

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Update the files.

sweety439 2018-03-01 20:44

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For n>1024:

Carol: See [URL="http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm"]http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm[/URL] for 124,
144, 256 and 676, [URL="http://mersenneforum.org/showpost.php?p=468778&postcount=112"]http://mersenneforum.org/showpost.php?p=468778&postcount=112[/URL] for 228,
[URL="http://mersenneforum.org/showpost.php?p=481226&postcount=188"]http://mersenneforum.org/showpost.php?p=481226&postcount=188[/URL] for 364,
[URL="http://mersenneforum.org/showpost.php?p=481227&postcount=189"]http://mersenneforum.org/showpost.php?p=481227&postcount=189[/URL] for 368,
[URL="http://mersenneforum.org/showpost.php?p=480868&postcount=182"]http://mersenneforum.org/showpost.php?p=480868&postcount=182[/URL] for 432,
[URL="http://mersenneforum.org/showpost.php?p=481218&postcount=187"]http://mersenneforum.org/showpost.php?p=481218&postcount=187[/URL] for 600,
[URL="http://mersenneforum.org/showpost.php?p=434317&postcount=40"]http://mersenneforum.org/showpost.php?p=434317&postcount=40[/URL] for 982.

Kynea: See [URL="http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm"]http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm[/URL] for 158,
[URL="http://mersenneforum.org/showpost.php?p=468778&postcount=112"]http://mersenneforum.org/showpost.php?p=468778&postcount=112[/URL] for 326,
[URL="http://mersenneforum.org/showpost.php?p=481241&postcount=193"]http://mersenneforum.org/showpost.php?p=481241&postcount=193[/URL] for 426,
[URL="http://mersenneforum.org/showpost.php?p=434861&postcount=60"]http://mersenneforum.org/showpost.php?p=434861&postcount=60[/URL] for 640,
[URL="http://mersenneforum.org/showpost.php?p=434409&postcount=50"]http://mersenneforum.org/showpost.php?p=434409&postcount=50[/URL] for 688.

Carol side has these bases remain: 362, 394, 472, 632, 640, 688, 702, 738, 824, 832, 866, 928, 938, 942, 950, 964, 968, 992

Kynea side has these bases remain: 290, 542, 552, 634, 654, 660, 698, 710, 772, 818, 836, 894, 908, 926, 940, 962, 966, 970, 982, 996, 998, 1010

sweety439 2018-03-01 22:48

[QUOTE=sweety439;481258]For n>1024:

Carol: See [URL="http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm"]http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm[/URL] for 124,
144, 256 and 676, [URL="http://mersenneforum.org/showpost.php?p=468778&postcount=112"]http://mersenneforum.org/showpost.php?p=468778&postcount=112[/URL] for 228,
[URL="http://mersenneforum.org/showpost.php?p=481226&postcount=188"]http://mersenneforum.org/showpost.php?p=481226&postcount=188[/URL] for 364,
[URL="http://mersenneforum.org/showpost.php?p=481227&postcount=189"]http://mersenneforum.org/showpost.php?p=481227&postcount=189[/URL] for 368,
[URL="http://mersenneforum.org/showpost.php?p=480868&postcount=182"]http://mersenneforum.org/showpost.php?p=480868&postcount=182[/URL] for 432,
[URL="http://mersenneforum.org/showpost.php?p=481218&postcount=187"]http://mersenneforum.org/showpost.php?p=481218&postcount=187[/URL] for 600,
[URL="http://mersenneforum.org/showpost.php?p=434317&postcount=40"]http://mersenneforum.org/showpost.php?p=434317&postcount=40[/URL] for 982.

Kynea: See [URL="http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm"]http://www.noprimeleftbehind.net/Carol-Kynea-prime-search.htm[/URL] for 158,
[URL="http://mersenneforum.org/showpost.php?p=468778&postcount=112"]http://mersenneforum.org/showpost.php?p=468778&postcount=112[/URL] for 326,
[URL="http://mersenneforum.org/showpost.php?p=481241&postcount=193"]http://mersenneforum.org/showpost.php?p=481241&postcount=193[/URL] for 426,
[URL="http://mersenneforum.org/showpost.php?p=434861&postcount=60"]http://mersenneforum.org/showpost.php?p=434861&postcount=60[/URL] for 640,
[URL="http://mersenneforum.org/showpost.php?p=434409&postcount=50"]http://mersenneforum.org/showpost.php?p=434409&postcount=50[/URL] for 688.

Carol side has these bases remain: 362, 394, 472, 632, 640, 688, 702, 738, 824, 832, 866, 928, 938, 942, 950, 964, 968, 992

Kynea side has these bases remain: 290, 542, 552, 634, 654, 660, 698, 710, 772, 818, 836, 894, 908, 926, 940, 962, 966, 970, 982, 996, 998, 1010[/QUOTE]

For Carol side, these even bases <= 1024 have no prime with n <= 1024:

124, 144, 228, 256, 362, 364, 368, 394, 432, 472, 600, 632, 640, 676, 688, 702, 738, 824, 832, 866, 928, 938, 942, 950, 964, 968, 982, 992

For Kynea side, these even bases <= 1024 have no prime with n <= 1024:

158, 290, 326, 426, 542, 552, 634, 640, 654, 660, 688, 698, 710, 772, 818, 836, 894, 908, 926, 940, 962, 966, 970, 982, 996, 998, 1010

sweety439 2018-03-05 19:16

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sweety439 2018-03-23 13:24

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sweety439 2018-03-24 15:27

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sweety439 2018-03-25 17:27

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sweety439 2018-03-28 21:30

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sweety439 2018-03-28 21:46

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sweety439 2018-03-28 23:13

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1111111111111111111

sweety439 2018-03-30 05:57

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sweety439 2018-03-30 17:44

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sweety439 2018-03-31 21:38

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sweety439 2018-04-01 04:03

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sweety439 2018-04-02 23:23

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sweety439 2018-04-02 23:23

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sweety439 2018-04-03 09:07

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sweety439 2018-04-09 11:15

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sweety439 2018-04-10 19:52

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sweety439 2018-04-19 04:01

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sweety439 2018-04-23 03:15

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sweety439 2018-04-23 03:17

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sweety439 2018-05-01 13:26

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sweety439 2018-05-01 13:26

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sweety439 2018-05-01 13:27

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sweety439 2018-05-01 19:17

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sweety439 2018-05-01 19:21

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sweety439 2018-05-01 20:05

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sweety439 2018-05-02 13:28

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sweety439 2018-05-04 22:13

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sweety439 2018-05-05 00:29

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sweety439 2018-05-05 00:34

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[QUOTE=sweety439;487002]....................[/QUOTE]

I only searched up to n=11, there is only one missing prime: 1534^(2^12)+1.

Update the new text file.

sweety439 2018-05-10 12:01

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sweety439 2018-05-10 12:37

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sweety439 2018-05-10 15:13

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sweety439 2018-05-10 17:49

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sweety439 2018-05-14 07:04

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sweety439 2018-05-14 07:05

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sweety439 2018-05-14 07:28

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sweety439 2018-05-14 19:00

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sweety439 2018-05-15 13:35

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sweety439 2018-05-16 17:59

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sweety439 2018-05-16 18:14

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sweety439 2018-05-16 18:23

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The formula is 2^(p-1) = n*p+1 mod p^2

sweety439 2018-05-16 20:16

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sweety439 2018-05-17 01:06

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sweety439 2018-05-17 01:13

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sweety439 2018-05-17 13:21

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sweety439 2018-05-17 13:22

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sweety439 2018-05-17 13:25

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sweety439 2018-05-17 13:28

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sweety439 2018-05-17 13:57

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sweety439 2018-05-17 15:03

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sweety439 2018-05-17 15:06

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sweety439 2018-05-18 13:43

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sweety439 2018-05-21 13:43

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[QUOTE=sweety439;487847]...[/QUOTE]

Excluding n=2 and n=4.

sweety439 2018-06-01 17:32

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sweety439 2018-06-01 17:38

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sweety439 2018-06-01 17:51

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sweety439 2018-06-01 17:54

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Extended to n=512, since the smallest number such that the program cannot compute the full fraction is n=526. (see [URL="http://oeis.org/A003285"]http://oeis.org/A003285[/URL] for the period length, the period length for n=1 to n=64 are 0, 1, 2, 0, 1, 2, 4, 2, 0, 1, 2, 2, 5, 4, 2, 0, 1, 2, 6, 2, 6, 6, 4, 2, 0, 1, 2, 4, 5, 2, 8, 4, 4, 4, 2, 0, 1, 2, 2, 2, 3, 2, 10, 8, 6, 12, 4, 2, 0, 1, 2, 6, 5, 6, 4, 2, 6, 7, 6, 4, 11, 4, 2, 0)

sweety439 2018-06-01 21:34

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sweety439 2018-06-01 21:53

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sweety439 2018-06-01 22:45

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Format:

[prime, period]: smallest base

sweety439 2018-06-01 23:31

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sweety439 2018-06-13 17:41

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sweety439 2018-06-19 19:21

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Relative class number h- of cyclotomic field Q(zeta_n) for n up to 256. (only n<=236 have been doublechecked, thus there may be error for n>236)

sweety439 2018-07-01 13:05

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