mersenneforum.org Is 2^10283794-1||2^10283793-1 probable prime?
 Register FAQ Search Today's Posts Mark Forums Read

 2019-09-12, 13:11 #1 enzocreti   Mar 2018 17×31 Posts Is 2^10283794-1||2^10283793-1 probable prime? Is 2^10283794-1||2^10283793-1 probable prime? where || denotes concatenation base 10.
2019-09-12, 13:17   #2
xilman
Bamboozled!

"πΊππ·π·π­"
May 2003
Down not across

2×72×109 Posts

Quote:
 Originally Posted by enzocreti Is 2^10283794-1||2^10283793-1 probable prime? where || denotes concatenation base 10.
Who, apart from you, gives a damn?

If you care about its status, why don't you run the PRP test yourself?

2019-09-12, 13:37   #3
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

22·5·307 Posts

Quote:
 Originally Posted by enzocreti Is 2^10283794-1||2^10283793-1 probable prime? where || denotes concatenation base 10.
No, no, no. Not like that. Badly worded. The "correct" way to coerce others into running your test for you is to claim that it is a PRP. Even better if you claim to use some dubious numerology to arrive at the conclusion. Then people will be falling other each other to be the first to try and prove you wrong.

 2019-09-12, 14:22 #4 Dr Sardonicus     Feb 2017 Nowhere 10001101101002 Posts I have no idea how far you have checked for possible small prime factors p. For this purpose, one could of course use the expression 10^3095731*(2^10283794 - 1) + 2^10283793 - 1 which can be easily reduced modulo p. If p is really small, it might also be worth reducing the exponents modulo p - 1. That's it for me.
 2019-09-12, 14:29 #5 LaurV Romulan Interpreter     Jun 2011 Thailand 25×5×59 Posts yes, it is probable prime with a probability between zero and one.
2019-09-12, 17:06   #6
sweety439

Nov 2016

2,819 Posts

Quote:
 Originally Posted by LaurV yes, it is probable prime with a probability between zero and one.
the probability is 1/log_2(10^3095731*(2^10283794 - 1) + 2^10283793 - 1)

 2019-09-13, 06:03 #7 enzocreti   Mar 2018 17×31 Posts not yet found a factor Pfgw is running with -f100 9000000/65000000 the progress not yet found a factor...
 2019-09-13, 07:33 #8 enzocreti   Mar 2018 17·31 Posts i am running a prp test now i am running a prp test...in 50 days i will finish
2019-09-14, 05:08   #9
LaurV
Romulan Interpreter

Jun 2011
Thailand

223408 Posts

Quote:
 Originally Posted by sweety439 the probability is 1/log_2(10^3095731*(2^10283794 - 1) + 2^10283793 - 1)
Are you sure it is log2 ?

 2019-09-16, 07:04 #10 enzocreti   Mar 2018 10000011112 Posts small factors trial division -f100 with Pfgw says that there is no small factor. What does it mean? The number has no "small" factor below? (10^8, 10^9,10^10)? THE NUMBER IS NOT PRP!!! Last fiddled with by enzocreti on 2019-10-28 at 10:08

 Similar Threads Thread Thread Starter Forum Replies Last Post enzocreti enzocreti 2 2019-02-10 16:17 enzocreti enzocreti 2 2019-02-05 02:20 sudaprime Miscellaneous Math 11 2018-02-05 08:10 philmoore Five or Bust - The Dual Sierpinski Problem 22 2010-01-01 00:23 philmoore Five or Bust - The Dual Sierpinski Problem 25 2009-09-09 06:48

All times are UTC. The time now is 17:37.

Sun May 9 17:37:44 UTC 2021 up 31 days, 12:18, 1 user, load averages: 4.15, 4.31, 4.20