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Old 2019-09-12, 13:11   #1
enzocreti
 
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Default Is 2^10283794-1||2^10283793-1 probable prime?

Is 2^10283794-1||2^10283793-1 probable prime? where || denotes concatenation base 10.
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Old 2019-09-12, 13:17   #2
xilman
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Quote:
Originally Posted by enzocreti View Post
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?
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Old 2019-09-12, 13:37   #3
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Quote:
Originally Posted by enzocreti View Post
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.
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Old 2019-09-12, 14:22   #4
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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.
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Old 2019-09-12, 14:29   #5
LaurV
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yes, it is probable prime with a probability between zero and one.
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Old 2019-09-12, 17:06   #6
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Quote:
Originally Posted by LaurV View Post
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)
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Old 2019-09-13, 06:03   #7
enzocreti
 
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Default not yet found a factor

Pfgw is running with -f100
9000000/65000000 the progress


not yet found a factor...
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Old 2019-09-13, 07:33   #8
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Default i am running a prp test

now i am running a prp test...in 50 days i will finish
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Old 2019-09-14, 05:08   #9
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Quote:
Originally Posted by sweety439 View Post
the probability is 1/log_2(10^3095731*(2^10283794 - 1) + 2^10283793 - 1)
Are you sure it is log2 ?
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Old 2019-09-16, 07:04   #10
enzocreti
 
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Default 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
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