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Old 2019-09-02, 09:38   #309
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Quote:
Originally Posted by sweety439 View Post
For odd primes p:

* p divides a(p) if and only if p is Bernoulli-irregular
* p divides a(2*p) if and only if p is Euler-irregular
Update correct file (the original file has errors for n = 59 and 118)
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Old 2019-09-02, 09:50   #310
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Quote:
Originally Posted by sweety439 View Post
Update correct file (the original file has errors for n = 59 and 118)
the same numbers with factorizations
Attached Files
File Type: txt cyclotomic numbers with factorizations.txt (2.9 KB, 19 views)
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Old 2019-09-04, 16:23   #311
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for odd k<=511, include the dual forms
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File Type: txt proth and riesel primes.txt (104.2 KB, 16 views)
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Old 2019-09-04, 16:25   #312
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.......
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File Type: txt proth and riesel primes.txt (105.2 KB, 23 views)
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Old 2019-09-06, 05:12   #313
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for the primes >= base
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File Type: txt minimal set of primes.txt (659.3 KB, 18 views)
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Old 2019-10-26, 03:58   #314
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........
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File Type: txt list of Euler Jacobi pseudoprime.txt (271.0 KB, 15 views)
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Old 2019-10-26, 04:01   #315
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...................
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File Type: txt smallest Euler Jacobi pseudoprime base n.txt (58.7 KB, 15 views)
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Old 2019-10-26, 05:37   #316
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........
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File Type: txt list of GFN.txt (14.5 KB, 17 views)
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Old 2019-10-26, 09:50   #317
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File Type: txt smallest k such that phi(n,k) is prime.txt (9.3 KB, 15 views)
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Old 2019-10-29, 11:18   #318
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...............
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File Type: txt list of nexus.txt (25.3 KB, 15 views)
File Type: txt list of neganexus.txt (23.3 KB, 15 views)
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Old 2019-11-02, 15:38   #319
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searching for 2<=n<=1000 and 1<=k<=1000, such bases (n) are excluded:

3n^k+1: n==1 mod 2
3n^k-1: n==1 mod 2
4n^k+1: n==1 mod 5, n==12 mod 13, n==m^4
4n^k-1: n==1 mod 3, n==4 mod 5, n==m^2

since these bases have no possible primes
Attached Files
File Type: txt numbers k such that 3n^k+1.txt (22.2 KB, 16 views)
File Type: txt numbers k such that 3n^k-1.txt (21.9 KB, 15 views)
File Type: txt numbers k such that 4n^k+1.txt (24.0 KB, 15 views)
File Type: txt numbers k such that 4n^k-1.txt (15.6 KB, 14 views)
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