PARI's commands

[CRGreathouse]

Well, vk can do that. But if you want a specialized program, write one!

[3.14159]

I figure that all I have to do is make some substitutions/additions/deletions to vk to get it working.

[3.14159]

Originally Posted by CRGreathouse

Well, vk can do that. But if you want a specialized program, write one!

You'd have to depend on the odds, though.

[3.14159]

I decided to join GIMPS: I was assigned the following number, since I chose trial factoring work: 2^75325247 - 1. I'm trial factoring to 590295810358705651712, or 2⁶⁹

Is the 70M range the current interest for trial factoring, or was that a rare fluke?

[3.14159]

Found a prime: 63483 * 10⁸⁴⁹⁰ + 1 (8495 digits?)

Also found
83529* 48⁷⁸⁹⁰ +1 (13270 digits)
468550* 1999⁵³⁴⁶ +1 (17652 digits)
515361* 1296⁵⁶⁸⁰ +1 (17686 digits)

Searches ongoing:

k * 2⁸⁵⁶⁷⁸⁰ + 1 (≈257920 digits)
k * 798336²⁰¹⁶⁰ + 1 (≈119000 digits)

[CRGreathouse]

Originally Posted by 3.14159

I figure that all I have to do is make some substitutions/additions/deletions to vk to get it working.

All you have to do, really, is remove the exponent.

Originally Posted by 3.14159

You'd have to depend on the odds, though.

I don't know what that means.

[3.14159]

Originally Posted by CRGreathouse

All you have to do, really, is remove the exponent.

No point in doing so. In fact, no changes at all should be made. The exponent should simply be set to 1.

[CRGreathouse]

Originally Posted by 3.14159

I decided to join GIMPS: I was assigned the following number, since I chose trial factoring work: 2^75325247 - 1. I'm trial factoring to 590295810358705651712, or 2⁶⁹

Is the 70M range the current interest for trial factoring, or was that a rare fluke?

That seems to be the typical range for trial division. ECM isn't that far yet, as I recall, and the LL tests are just below the ECM range.

[3.14159]

Originally Posted by CRGreathouse

That seems to be the typical range for trial division. ECM isn't that far yet, as I recall, and the LL tests are just below the ECM range.

What range is ECM reserved for?

[CRGreathouse]

Originally Posted by 3.14159

No point in doing so. In fact, no changes at all should be made. The exponent should simply be set to 1.

That was the meaning of post #925: "vk can do that".

You could produce a specialized script without the exponent, removing the extra operation, but it won't save you much time.

Of course it will be slower to use vk like this: for a given size, it's much faster to use a power (say, n = 856780 or even 100) than a non-power (n = 1).

[CRGreathouse]

Originally Posted by 3.14159

What range is ECM reserved for?

Dunno, change your settings to ask for it and see. My understanding, rightly or wrongly, is that ECM is most needed right now -- that there's an increasingly small pool of ECM'd exponents ready for LL.