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2020-12-23, 00:16   #1167
sweety439

Nov 2016

2,819 Posts

Quote:
 Originally Posted by sweety439 S81 reserving to n=5000 this file is the currently status for n<=2000 Note: All k=4*q^4 for all n: let k=4*q^4and let m=q*3^n; factors to: (2*m^2 + 2m + 1) * (2*m^2 - 2m + 1) This includes k = 4, 64, 324
S81 tested to n=5000

primes found for n = 1000-5000: (41*81^1223+1)/2, (75*81^3309+1)/4, (284*81^1455+1)/5, (439*81^2097+1)/40, (569*81^2937+1)/10

additional primes not in the list: (311*81^7834+1)/8, 558*81^51992+1

remain k: 239, 335, 514
Attached Files
 S81 status.txt (3.9 KB, 28 views)

2020-12-23, 00:18   #1168
sweety439

Nov 2016

2,819 Posts

S97 tested to n=2000

Unfortunately, no primes found for n = 1000-2000
Attached Files
 S97 status.txt (806 Bytes, 27 views)

2020-12-23, 00:36   #1169
sweety439

Nov 2016

2,819 Posts

Quote:
 Originally Posted by sweety439 Reserve R/S 40 Update sieve files.
Update current status file for R/S 40
Attached Files
 pfgw.log (8.5 KB, 27 views)

 2020-12-23, 04:20 #1170 ONeil   Dec 2017 111100002 Posts @sweety439 Do you know of a fast test for large Mersenne Primes which would suggest it true to be prime? and say I put in a large number and it was not a prime would the test report back false and can the test do it in under 10 seconds. I have looked a Miller Rabin tests but they don't seem to handle really large numbers. I'm just looking for some python code which could report back like in a few seconds if a number a huge number could be prime? Thanks for your time :)
 2020-12-23, 06:25 #1171 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 2·4,787 Posts
2020-12-23, 11:36   #1172
sweety439

Nov 2016

2,819 Posts

Quote:
 Originally Posted by sweety439 Code: 1,1171 2,1 3,2 4,5 5,1 6,1 7,26 8,2 9,1 10,4 11,2 12,1 13,1 14,1 15,4 16,(partial algebra factors) 17,11 18,569 19,2 20,1 21,3 22,1 23,6 24,5 25,317 26,13 27,[remain] 28,1 29,697 30,1 31,2 32,[remain] With CK=33 All k where k = m^2 and m = = 4 or 13 mod 17: for even n let k = m^2 and let n = 2*q; factors to: (m*135^q - 1) * (m*135^q + 1) odd n: factor of 17 This includes k = 16 k = 27, 32 remain at n=2000
Found primes:

(27*135^3250-1)/2
32*135^2091-1

R135 is proven

Last fiddled with by sweety439 on 2020-12-23 at 11:36

2020-12-23, 11:39   #1173
sweety439

Nov 2016

281910 Posts

Quote:
 Originally Posted by ONeil @sweety439 Do you know of a fast test for large Mersenne Primes which would suggest it true to be prime? and say I put in a large number and it was not a prime would the test report back false and can the test do it in under 10 seconds. I have looked a Miller Rabin tests but they don't seem to handle really large numbers. I'm just looking for some python code which could report back like in a few seconds if a number a huge number could be prime? Thanks for your time :)
I use PARI/GP ispseudoprime, and for larger numbers, I use PFGW

 2020-12-23, 12:28 #1174 sweety439   Nov 2016 281910 Posts Reserve: S108 k = 20543 R108 k = 5351, 6528, 13162 (the k for R/S 108 which is not in CRUS)
2020-12-23, 13:35   #1175
sweety439

Nov 2016

2,819 Posts

Quote:
 Originally Posted by sweety439 Reserve: S108 k = 20543 R108 k = 5351, 6528, 13162 (the k for R/S 108 which is not in CRUS)
(20543*108^3375+1)/107 is prime

3 k's for R108 are still remain ....

2020-12-23, 13:38   #1176
sweety439

Nov 2016

2,819 Posts

Quote:
 Originally Posted by sweety439 Tested R63, completed to n=2000 I will completed all (Riesel or Sierpinski) bases with small CK and only tested to n=1000, to n=2000, this includes bases R63, R127, S63, S81, S97, S106
S106 completed to n=2000

Now all are completed to n>=2000 except R127
Attached Files
 S106 status.txt (18.1 KB, 28 views)

2020-12-23, 14:13   #1177
sweety439

Nov 2016

54038 Posts

Quote:
 Originally Posted by sweety439 https://docs.google.com/document/d/e...7wgHppPnpz/pub Update the file of Riesel conjectures to include the newest test limit of R2
Redone the file, add the missing Enter character for top 10 k for R2

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