mersenneforum.org Searching for generalized repunit PRP
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2018-09-03, 06:31   #221
sweety439

Nov 2016

23·97 Posts

Update pfgw file for negative bases
Attached Files
 pfgw.log (276 Bytes, 55 views)

2020-04-13, 23:47   #222
sweety439

Nov 2016

23·97 Posts

upload the current status, a(522) and a(684) given by https://oeis.org/A128164
Attached Files
 smallest odd prime p such that (b^p-1)(b-1) is prime.txt (8.4 KB, 21 views)

2020-05-12, 12:11   #223
Fan Ming

Oct 2019

5×19 Posts

I finished base -97 repunit search for exponents up to 500000, still no any PRP found.
Attached are residues of PRP test and factors found. Special thanks to Mr Danilo for his gr-mfaktc program(it's easy to modify it to factor generalized Wagstaff numbers).
Attached Files
 PRPbase-97.zip (3.67 MB, 10 views)

Last fiddled with by Fan Ming on 2020-05-12 at 12:23

2020-05-13, 10:18   #224
sweety439

Nov 2016

23×97 Posts

Quote:
 Originally Posted by Fan Ming I finished base -97 repunit search for exponents up to 500000, still no any PRP found. Attached are residues of PRP test and factors found. Special thanks to Mr Danilo for his gr-mfaktc program(it's easy to modify it to factor generalized Wagstaff numbers).
Great!!! Can you also complete bases -103 and -113? Also bases 185, 269, and 281.

2020-05-13, 10:22   #225
sweety439

Nov 2016

23×97 Posts

Quote:
 Originally Posted by sweety439 Great!!! Can you also complete bases -103 and -113? Also bases 185, 269, and 281.
Test limits (by me):

b=185 at n=66337
b=269 at n=63659
b=281 at n=63421

b=-97 at n=59863
b=-103 at n=59509
b=-113 at n=59021

 2020-05-26, 10:45 #226 sweety439     Nov 2016 23·97 Posts These numbers are (probable) primes (thanks to Michael Stocker!!!) (485^99523-1)/484 (691^62903-1)/690 (649^43987-1)/648 (693^41189-1)/692 (752^32833-1)/751 (629^32233-1)/628
2020-05-26, 10:49   #227
sweety439

Nov 2016

23·97 Posts

Quote:
 Originally Posted by sweety439 These numbers are (probable) primes (thanks to Michael Stocker!!!) (485^99523-1)/484 (691^62903-1)/690 (649^43987-1)/648 (693^41189-1)/692 (752^32833-1)/751 (629^32233-1)/628
Update newest text files, still 33 unknown terms.
Attached Files
 smallest odd prime p such that (b^p-1)(b-1) is prime (1).txt (8.4 KB, 15 views)

2020-08-18, 01:46   #228
sweety439

Nov 2016

23·97 Posts

(932^20431-1)/931 is (probable) prime (found by Batalov), see http://www.primenumbers.net/prptop/s...&action=Search

Fixed the text file, now 32 unknown terms at indices <= 1024:

{185, 269, 281, 380, 384, 385, 394, 396, 452, 465, 511, 574, 598, 601, 629, 631, 632, 636, 711, 713, 759, 771, 795, 861, 866, 881, 938, 948, 951, 956, 963, 1005, 1015}
Attached Files
 smallest odd prime p such that (b^p-1)(b-1) is prime (2).txt (8.4 KB, 6 views)

Last fiddled with by sweety439 on 2020-08-18 at 17:23

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