[QUOTE=wblipp;87420]I listed the pairs that define the Vanishing Fermat Quotient, not the parmeters for the algebraic factors that need factors.[/QUOTE]

OK. Now I see it.

Now, I hope I factor the correct numbers, so:
6913021836871 divides 691^508-1
1597368711978311 divides 691^508-1
So this completes 691^508-1 for your project.

800339854680407 divides 197^163-1

10826960096231 | 653^3695-1
which completes 653, 22171.
Greg

Completed p45 level for 353,97+ c237 and 353,97- c241.

Alex

613^509-1 = 2*2*65801335373*2051199966843*C1396

Thanks everyone for these factors.

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William, on your table, the entry for base 7 seems to have the factor repeated twice.

[QUOTE=Pi Rho;87544]613^509-1 = 2*2*65801335373*2051199966843*C1396[/QUOTE]

Unfortunately, 65801335373 is smaller than 10[sup]11[/sup] and
2051199966843 = 3[sup]2[/sup] x 17 x 21379 x 627089

The small factors are the divisors of (613-1), known to be an algebraic factor because (x-1) always divides (x[sup]n[/sup]-1). The larger factors are of interest to Brent, so I will be passing those along.

[QUOTE=wblipp;87571]Unfortunately, 65801335373 is smaller than 10[sup]11[/sup] and
2051199966843 = 3[sup]2[/sup] x 17 x 21379 x 627089

The small factors are the divisors of (613-1), known to be an algebraic factor because (x-1) always divides (x[sup]n[/sup]-1). The larger factors are of interest to Brent, so I will be passing those along.[/QUOTE]

Thanks for the correction. I'll be sure to check factors for primality in the future.

2399158921057 | 359^179-1

Alex

Edit: 353,1201- and 353,1201+ tested to p35.

Is this of interest?

27337802079423499 divides (881^11192861-1)

Found with Alex' trial division code.

Paul