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Kosmaj 2006-09-21 22:28

Other Primes
I thought it would be nice to have a thread discussing primes found by others, or by us but not related to RPS.

And the first one is
2^1203793-2^601897+1 (362378 digits)

new [URL=""]Gaussian Mersenne norm[/URL] record set by Cruelty. More details can be found [URL=""]here[/URL]


The form can be searched using the latest version of LLR (3.7.x). I tried once at 400k but it was a bit time consuming (on my laptop) and I gave up.

lsoule 2006-09-21 23:02

Earlier this month I found 99*10^139670-1, the new [URL=""]Near-repdigit[/URL] record. In fact, 10 of the top 20 for this form have been entered in the last
2-3 months.

Kosmaj 2006-10-11 03:16

Badges marking the latest 9.8M-digit Mersenne prime are available in [URL=""]this thread[/URL]. Sign up there if you'd like to have one.

Cruelty 2006-11-16 21:57

(2^1127239+2^563620+1)/5 is 3-PRP!, which AFAIK is the largest GQ so far :smile:
The question I have now is, how to prove it is, or it is not a prime :question:
BTW: I don't consider using PRIMO or other ECPP based software for this purpose as it would take more than my life to complete :rolleyes:

Kosmaj 2006-11-20 01:55

Replies to the above post moved to a separate thread:

[URL=""]GQ(1127239) is PRP![/URL]

Please post further replies there.

Cruelty 2006-12-02 09:22

Check [URL=""]this[/URL] out :shock:

Kosmaj 2006-12-02 18:35

Yes, huge
26773*2^2465343-1, 742147 digits.

20th of all times!
Note that now an entry to Top-100 requires binary exponent n>1.2M !

robert44444uk 2007-01-17 11:39

Someone, outside of this group I think has posted a monster


21st largest prime every found!!!

Kosmaj 2007-01-17 12:44

That's L191, S. Banka who is (unfortunately :smile: ) not with us. He found 5 large primes in only one year, he began with 12121 project but now he is testing k=737 (=11*67) alone. He is now 13th by score!:surprised 4 of his 5 primes are currently in top-100, only Cooper and Heuer have more primes in top-100 while Grobstich has 4 too.

Thomas11 2007-01-17 12:57

[QUOTE=Kosmaj;96369]... while Grobstich has 4 too.[/QUOTE]

... and Thomas has 4 in the Top-101. :grin:

Kosmaj 2007-01-25 14:46

Congrats to David Underbakke (L99) who just reported new largest Sophie-Germain pair (51910 digits):

Only 10 days after the new twin record!

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