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Old 2021-11-06, 21:43   #573
paulunderwood
 
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Quote:
Originally Posted by tuckerkao View Post
What test will be needed to confirm the probable prime from the cofactor of M10443557? Is there 1 doable test like LL to the regular PRP?
The short answer is "no!". See https://primes.utm.edu/prove/
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Old 2021-11-06, 21:45   #574
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Quote:
Originally Posted by masser View Post
I would like young Tucker to do some of the legwork himself.
So would I. But if he were willing to do legwork himself, he would not have posted his query. I posted the links for the benefit of others. Back when I was a new user, I was advised to use "show single post" in referring to previous posts. Locating the page with a given post number in a long thread can be tedious.

But, just for fun, I will mention that two smaller p > 1000000 for which Mp has a large PRP cofactor are mentioned on this Forum, somewhere in this thread, which is a predecessor to the present one. That thread is much shorter than this one.
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Old 2021-11-06, 22:05   #575
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Quote:
Originally Posted by Dr Sardonicus View Post
But, just for fun, I will mention that two smaller p > 1000000 for which Mp has a large PRP cofactor are mentioned on this Forum, somewhere in this thread, which is a predecessor to the present one. That thread is much shorter than this one.
I saw 4 of them inside that thread: M4187251, M4834891, M5240707, M7080247. Those are the 4 predecessors of M10443557 which is the current largest known P-PRP-CF.

I wish there can be a new specialized page for Known Cofactor Probable Primes or Fully factored Mersenne Numbers that are not Mersenne Primes under Current Progress menu of the GIMPS homepage.

The total quantity is scarce enough that qualifies to be the Mersenne treasures of the discoverers.

Last fiddled with by tuckerkao on 2021-11-06 at 22:15
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Old 2021-11-06, 22:27   #576
chalsall
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Quote:
Originally Posted by tuckerkao View Post
I wish there can be a new specialized page for Known Cofactor Probable Primes or Fully factored Mersenne Numbers that are not Mersenne Primes under Current Progress menu of the GIMPS homepage.
That sounds like it would be better under the Wiki.

Why don't you step up, and curate that? Might reduce the noise here on the Forum.

Just asking...
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Old 2021-11-07, 02:22   #577
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Quote:
Originally Posted by tuckerkao View Post
I wish there can be a new specialized page for Known Cofactor Probable Primes or Fully factored Mersenne Numbers that are not Mersenne Primes under Current Progress menu of the GIMPS homepage.
https://www.mersenne.ca/prp.php
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Old 2022-04-19, 03:41   #578
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Congrats to Gelly (Robert Gelhar) for proving prime the co-factor of 2^106391-1

Last fiddled with by paulunderwood on 2022-04-19 at 03:42
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Old 2022-05-23, 12:13   #579
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Congrats to Ryan for proving the cofactor of M78737 using FastECPP.
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Old 2022-05-25, 19:56   #580
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M86137 cofactor has been certified prime by yours truly.

Last fiddled with by paulunderwood on 2022-05-25 at 19:58
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Old 2022-05-26, 01:08   #581
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Congrats for proving a now P25924 prime.
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Old 2022-06-03, 18:06   #582
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M245107 is a probable semi-prime.

Factor found by Sid & Andy. Test by user SRJ2877.
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Old 2022-06-04, 02:03   #583
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Quote:
Originally Posted by GP2 View Post
M245107 is a probable semi-prime.

Factor found by Sid & Andy. Test by user SRJ2877.
Congrats @petrw1. I believe this is the first "confirmed kill" for the "low" project
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