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-   -   Is 2^10283794-1||2^10283793-1 probable prime? (https://www.mersenneforum.org/showthread.php?t=24766)

enzocreti 2019-09-12 13:11

Is 2^10283794-1||2^10283793-1 probable prime?
 
Is 2^10283794-1||2^10283793-1 probable prime? where || denotes concatenation base 10.

xilman 2019-09-12 13:17

[QUOTE=enzocreti;525721]Is 2^10283794-1||2^10283793-1 probable prime? where || denotes concatenation base 10.[/QUOTE]Who, apart from you, gives a damn?

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

retina 2019-09-12 13:37

[QUOTE=enzocreti;525721]Is 2^10283794-1||2^10283793-1 probable prime? where || denotes concatenation base 10.[/QUOTE]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 [i]is[/i] 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. :devil:

Dr Sardonicus 2019-09-12 14:22

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 [i]really[/i] small, it might also be worth reducing the [i]exponents[/i] modulo p - 1.

That's it for me.

LaurV 2019-09-12 14:29

yes, it is probable prime with a probability between zero and one.

sweety439 2019-09-12 17:06

[QUOTE=LaurV;525730]yes, it is probable prime with a probability between zero and one.[/QUOTE]

the probability is 1/log_2(10^3095731*(2^10283794 - 1) + 2^10283793 - 1)

enzocreti 2019-09-13 06:03

not yet found a factor
 
Pfgw is running with -f100
9000000/65000000 the progress


not yet found a factor...

enzocreti 2019-09-13 07:33

i am running a prp test
 
now i am running a prp test...in 50 days i will finish

LaurV 2019-09-14 05:08

[QUOTE=sweety439;525734]the probability is 1/log_2(10^3095731*(2^10283794 - 1) + 2^10283793 - 1)[/QUOTE]
Are you sure it is log2 ? :razz:

enzocreti 2019-09-16 07:04

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!!!


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