mersenneforum.org New repunit (PRP) primes found, 5794777 and 8177207 decimal digits (PRP records)
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2021-05-12, 19:53   #56
MrRepunit

Mar 2011
Germany

97 Posts

Quote:
 Originally Posted by Dr Sardonicus As previously mentioned in this post, the Details section on this page, which Batalov supplied in this post, has that information.

But unluckily our results displayed on Kurt's site do not include the results of Serge and Ryan (except for the new PRPs). The dump includes just the results from our own search. I would really like to extend our page with the new results though, but currently it seems we will not get the residues or new factors.

2021-05-12, 20:42   #57
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

2×4,931 Posts

I have just received a snapshot of current results from Ryan (because we chatted about that request; usually I hear only about hits).
I also have lists of factors elsewhere; will post later. I also currently sieve in 10-12M region (to 64 and to 67-68 bits eventually).

And here it is - attached.
Attached Files
 repunit-res64.zip (2.23 MB, 120 views)

2021-05-12, 21:15   #58
MrRepunit

Mar 2011
Germany

11000012 Posts

Quote:
 Originally Posted by Batalov I have just received a snapshot of current results from Ryan (because we chatted about that request; usually I hear only about hits). I also have lists of factors elsewhere; will post later. I also currently sieve in 10-12M region. And here it is - attached.

Thank you very much! I will put them into the database and and publish them on Kurt's site.

Cheers,
Danilo

 2021-05-12, 21:17 #59 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2·4,931 Posts I will probably grep for all factors that are not present in the site (even though to be safe we started from scratch), to keep the factor "delta" file size to minimum. (I also have a pari script to check all factors, no matter from which origin.)
2021-05-12, 22:10   #60
MrRepunit

Mar 2011
Germany

97 Posts

I put all known factors from prime exponents with p > 4300000 into one file, this should make it easier to grep for new factors.
Format is (one line per factor)
exponent factor

I just checked all of them, all are prime and really divide the corresponding repunit R[exponent]
Attached Files
 factors-from-4.3M.txt.zip (1.91 MB, 111 views)

 2021-05-13, 01:11 #61 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 100110100001102 Posts Code: awk '{print "if(Mod(10,"$2")^"$1"!=1,print("\$1"))"}' factors-from-4.3M.txt |gp -q Cool beans. They are all good. I will attach here new factors, a bit later.
 2021-05-26, 02:32 #62 paulunderwood     Sep 2002 Database er0rr 10000011101012 Posts R8177207 is an official top PRP. Currenlty it does not appear on PrimePages's repunit page.
 2021-05-27, 10:22 #63 Cybertronic     Jan 2007 Germany 1111001012 Posts missing an entry here https://primes.utm.edu/top20/page.php?id=57 Norman
 2021-05-27, 17:57 #64 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2·4,931 Posts Chris might be on a vacation or something similar. We haven't heard back (but we did send in the news and the updated graph).
 2021-08-23, 06:36 #65 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2·3·577 Posts Are 5794777 and 8177207 terms of A337139?
2021-08-23, 22:48   #66
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

100110100001102 Posts

Quote:
 Originally Posted by sweety439 Are 5794777 and 8177207 terms of A337139?
You are welcome to test that. It appears to be trivial.

It is trivial to compute in Pari (because others already did the job of adapting the Kaprekar criterion; in Wikipedia it is described with a distinct flavor of numerology; for example when one doesn't consider '0' a number, one's ears prick). ...but it works.
And (spoiler) ... they are non-self. All of them. So far.

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