Other Primes

Kosmaj · 2006-09-21, 22:28

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 Gaussian Mersenne norm record set by Cruelty. More details can be found here

Congratulations!

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 Near-repdigit 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 this thread. 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

The question I have now is, how to prove it is, or it is not a prime

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

Kosmaj · 2006-11-20, 01:55

Replies to the above post moved to a separate thread:

GQ(1127239) is PRP!

Please post further replies there.

Cruelty · 2006-12-02, 09:22

Check this out

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

http://primes.utm.edu/primes/page.php?id=79192

21st largest prime every found!!!

Kosmaj · 2007-01-17, 12:44

That's L191, S. Banka who is (unfortunately

) 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:

Originally Posted by Kosmaj

... while Grobstich has 4 too.

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

Kosmaj · 2007-01-25, 14:46

Congrats to David Underbakke (L99) who just reported new largest Sophie-Germain pair (51910 digits):
48047305725*2^172403-1
48047305725*2^172404-1

Only 10 days after the new twin record!

2006-09-21, 22:28	#1
Kosmaj Nov 2003 2·1,811 Posts	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 Gaussian Mersenne norm record set by Cruelty. More details can be found here Congratulations! 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.

2007-01-17, 11:39	#8
robert44444uk Jun 2003 Suva, Fiji 2·1,021 Posts	Monster Someone, outside of this group I think has posted a monster http://primes.utm.edu/primes/page.php?id=79192 21st largest prime every found!!!

2007-01-17, 12:44	#9
Kosmaj Nov 2003 3622₁₀ Posts	That's L191, S. Banka who is (unfortunately ) not with us. He found 5 large primes in only one year, he began with 12121 project but now he is testing k=737 (=1167) 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. Last fiddled with by Kosmaj on 2007-01-17 at 12:46*

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2006-09-21, 23:02	#2
lsoule Nov 2004 California 1704₁₀ Posts	Earlier this month I found 99*10^139670-1, the new Near-repdigit record. In fact, 10 of the top 20 for this form have been entered in the last 2-3 months.

2006-10-11, 03:16	#3
Kosmaj Nov 2003 2·1,811 Posts	Badges marking the latest 9.8M-digit Mersenne prime are available in this thread. Sign up there if you'd like to have one.

2006-11-16, 21:57	#4
Cruelty May 2005 2²×11×37 Posts	(2^1127239+2^563620+1)/5 is 3-PRP!, which AFAIK is the largest GQ so far The question I have now is, how to prove it is, or it is not a prime 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

2006-11-20, 01:55	#5
Kosmaj Nov 2003 2·1,811 Posts	Replies to the above post moved to a separate thread: GQ(1127239) is PRP! Please post further replies there.

2006-12-02, 09:22	#6
Cruelty May 2005 2²×11×37 Posts	Check this out

2006-12-02, 18:35	#7
Kosmaj Nov 2003 2·1,811 Posts	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 !

2007-01-25, 14:46	#11
Kosmaj Nov 2003 2·1,811 Posts	Congrats to David Underbakke (L99) who just reported new largest Sophie-Germain pair (51910 digits): 480473057252^172403-1 480473057252^172404-1 Only 10 days after the new twin record!