New repunit (PRP) primes found, 5794777 and 8177207 decimal digits (PRP records)

[MrRepunit]

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.

[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 (to 64 and to 67-68 bits eventually).

And here it is - attached.

[MrRepunit]

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

[Batalov]

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.)

[MrRepunit]

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]

[Batalov]

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.

[paulunderwood]

R8177207 is an official top PRP.

Currenlty it does not appear on PrimePages's repunit page.

[Cybertronic]

missing an entry here


https://primes.utm.edu/top20/page.php?id=57


Norman

[Batalov]

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).

[sweety439]

Are 5794777 and 8177207 terms of A337139?

[Batalov]

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.