Exponents leading to pg primes - Page 2

ET_ · 2019-01-31, 09:44

Quote:

Originally Posted by enzocreti

I wonder if the primality of pg(69660) and pg(92020) can be proven, I mean I know that they are probable primes but do you think that with Primo I can proof them surely prime?

IIRC, Primo has still a upper limitation at ( I guess) around 50,000 digits.

axn · 2019-01-31, 11:32

Quote:

Originally Posted by ET_

IIRC, Primo has still a upper limitation at ( I guess) around 50,000 digits.

http://www.ellipsa.eu/public/primo/primo.html#Changes - 40000 digits. Just short for pg(69660). Just as well, it would be HUGE undertaking, easily smashing the existing ECPP world record.

enzocreti · 2019-02-01, 08:40

on mathoverflow no answer yet...
but I wonder which is the probability that by mere chance all the four known pg(43k)'s primes or probable primes have the property that 43k is a number of the form 41s+r (r=1,10,16,18,37)?

2019-02-01, 08:40	#14
enzocreti Mar 2018 2×5×53 Posts	pg(215), pg(69660), pg(92020), pg(541456) on mathoverflow no answer yet... but I wonder which is the probability that by mere chance all the four known pg(43k)'s primes or probable primes have the property that 43k is a number of the form 41s+r (r=1,10,16,18,37)?

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
nextprime function is spooked by leading zero.	shortcipher	YAFU	5	2018-03-27 13:59
Sophie-Germain primes as Mersenne exponents	ProximaCentauri	Miscellaneous Math	15	2014-12-25 14:26
Assorted formulas for exponents of Mersenne primes	Lee Yiyuan	Miscellaneous Math	60	2011-03-01 12:22
Leading Edge	Primeinator	Information & Answers	9	2010-06-25 07:36
Fixed leading bits in RSA modulus, vs NFS	fgrieu	Factoring	7	2009-09-23 11:45