2020-03-19, 11:19 | #419 |
May 2019
Rome, Italy
2×17 Posts |
Quarantine is boring
Now that the worker queue was emptied, the FDB processed the N+/-1 proofs too (i guess they have a low priority).
This is what i had in queue: Code:
(1538^356+1)/(1538^4+1) N-1, 1122 digits (7023^1153-1)/7022 N-1, 4432 digits I(12652)^2+2 N-1, 5288 digits (56^1698-1)^2-2 N+1, 5937 digits (60^1717+1)^2-2 N+1, 6107 digits (2^10367+1)^2-2 N+1, 6242 digits (252^1330-1)^2-2 N+1, 6388 digits (432^1227+1)^2-2 N+1, 6468 digits (92^1795+1)^2-2 N+1, 7050 digits (156^1663-1)^2-2 N+1, 7295 digits (1507^2521+1)/1508 N-1, 8009 digits |
2020-03-24, 20:34 | #420 |
May 2019
Rome, Italy
2×17 Posts |
Code:
(9667^1201-1)/9666 N-1 4783 digits (154^1495-1)^2-2 N+1 6541 digits (2^21701-1)*138769890-1 N+1 6541 digits (2^21701-1)*138769890+1 N-1 6541 digits (86^2053-1)^2-2 N+1 7944 digits (58^2354+1)^2-2 N+1 8303 digits (10^4299-1)^2-2 N+1 8598 digits 117371^2015*2+1 N-1 10216 digits |
2020-04-16, 07:54 | #421 |
May 2019
Rome, Italy
2×17 Posts |
Code:
(21351113^128+1)/2 N-1 938 digits (2^132049-1)*185056+1 N-1 39756 digits (2^132049-1)*30690+1 N-1 39756 digits |
2020-05-28, 22:36 | #422 |
May 2019
Rome, Italy
2×17 Posts |
Code:
10*I(23856)-1 N+/-1 4987 digits 70^633-71 N+1 1168 digits 91^593-92 N+1 1162 digits 410^413-411 N+1 1080 digits 44174...01 N-1 1033 digits 126^465-127 N+1 977 digits 69^351+70 N-1 646 digits |
2020-09-28, 09:56 | #423 |
May 2019
Rome, Italy
42_{8} Posts |
Code:
2^18942-63 N-1 5703 digits 2*I(23918)+1 N+/-1 4999 digits (5093^991-1)/5092 N-1 3670 digits 8933594132...01 N-1 532 digits 8453207264...41 N-1 329 digits |
2020-10-19, 08:38 | #424 |
May 2019
Rome, Italy
42_{8} Posts |
Code:
(2^86243-1)*702850+1 N-1 25968 digits (2^86243-1)*1311784+1 N+/-1 25968 digits (2^86243-1)*58818+1 N-1 25967 digits (2^86243-1)*42844+1 N-1 25967 digits (22^8643-1)^2-2 N+1 23206 digits 2825659559...01 N-1 469 digits |
2020-11-20, 16:56 | #425 |
Sep 2009
1975_{10} Posts |
Hello,
There are now over 121000 PRPs under 3000 digits in factordb. I'm running a script to prove simple cases prime by N-1 if N-1 has algebraic factors (it handles (b^p-1)/(b-1) and (b^p+1)/(b+1) for various b and p). I've got to 444 digits but it's likely to take a few says to reach 3000 digits. And it'll only prove a few % of the PRPs. This lot are probably related to all the small junk that's appearing in factordb. Chris |
2020-11-22, 16:43 | #426 |
Sep 2009
3667_{8} Posts |
And the script has finished:
Code:
Stopping at 3010 digits number 4 (5347 proved prime (tried to factor 12735 N-1's, 1 new factor added, 427 fully factored)) Most of the 12735 times it tried to factor N-1 it found several factors factordb already knew of, but probably didn't know divided N-1. But I don't know how many because the script didn't fetch N-1 to see how many factors it had before trying to factor it. I'll run it again in a few days. There are probably quite a few where N-1 has factors under 90 digits and a proof will be possible once they are factored. Also I've enhanced it to check for a few more cases, eg GFNs (b^2^n+1). Chris |
2020-11-25, 16:49 | #427 |
Sep 2009
11110110111_{2} Posts |
Second run finished:
Code:
Stopping at 3011 digits number 3 (2874 proved prime (tried to factor 11564 N-1's, 0 new factors added, 187 fully factored)) Chris |
2020-11-29, 16:52 | #428 |
Sep 2009
5^{2}·79 Posts |
I've noticed an interesting set of PRPs in factordb (all 1000 digits):
Code:
1100000001977145547 10^999+12142617231 1100000001977145688 (10^999+12142617231)*2-1 1100000001977145775 ((10^999+12142617231)*2-1)*2-1 Chris Last fiddled with by chris2be8 on 2020-11-29 at 16:55 Reason: Typo |
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