Largest known prime

[10metreh]

Originally Posted by Unregistered

however my new number doesnt have one up as far as 2^60,what test should i carry out on it now or should i try and factor it a bit more?

Thanks.

What is your new number? 2^(2^43112609)-1 has factors 3, 5 etc, because if you knew a little bit of maths you would know that a number of the form 2^(2^n)-1 is a product of consecutive Fermat numbers.
If your new number is of the same scale as that number, trial division is all you can do.

[Uncwilly]

Originally Posted by Unregistered

however my new number doesnt have one up as far as 2^60,what test should i carry out on it now or should i try and factor it a bit more?

It depends on the size of the number, the bigger it is the further up to go. You can just post the number as 332xxxxxx if you want to keep it hidden. Do you think that your new number maybe prime? Are you trying to eliminate it (find a factor)? Or are you only playing around (I am not being dismissive, just asking)?

the exponent is around 400 million,i know it'l take years to be proven prime but i just want to give it a go.the exponent IS prime.so how far should i try factor it?should i run a ll test on it,ecm?im new to this so dont have a clue what i should do next.

Thanks.

[10metreh]

Originally Posted by Unregistered

the exponent is around 400 million,i know it'l take years to be proven prime but i just want to give it a go.the exponent IS prime.so how far should i try factor it?should i run a ll test on it,ecm?im new to this so dont have a clue what i should do next.

Thanks.

Firstly, if you REALLY want to have a go, you will have an awfully long wait. There might be small factors anyway. If you want to find a new Mersenne prime, I recommend that you get Prime95, join GIMPS and do some lower exponents that don't even take months.

dont worry im preparred for the wait!so can anyone give me advice on what i should do next (dont want to use prime95,long story.).

[Uncwilly]

Factor it to 2^74 then run P-1 then factor to 2^76 (that is what the current settings are for 332,xxx,xxx range). After that LL it. Prime95 will be faster than Factor5 on the factoring. You can manually get the exponent assigned to you. The only reason (i think) that you would want to do ecm after the factoring is to try and find the factor, just because.

[10metreh]

What exactly is the number?

thanks uncwilly,il try that,do you have any links to a program that runs p-1?

[10metreh]

Use Prime95.

[xilman]

Originally Posted by 10metreh

Use Prime95.

Isn't it clear by now? The guy believes his number is prime but if he uses Prime95 to prove it so, he has to share the prize money.

Whether it is a sound belief is an entirely different matter.

Paul

[Xyzzy]

The guy believes his number is prime but if he uses Prime95 to prove it so, he has to share the prize money.

Mlucas does not have a restrictive license.