no factor for M3321934051 from 2^76 to 2^77 [mfaktc 0.16p1-Win barrett79_mul32]
no factor for M3321934051 from 2^77 to 2^78 [mfaktc 0.16p1-Win barrett79_mul32]

no factor for M3321934129 from 2^76 to 2^77 [mfaktc 0.16p1-Win barrett79_mul32]
no factor for M3321934129 from 2^77 to 2^78 [mfaktc 0.16p1-Win barrett79_mul32]

no factor for M3321934163 from 2^76 to 2^77 [mfaktc 0.16p1-Win barrett79_mul32]
no factor for M3321934163 from 2^77 to 2^78 [mfaktc 0.16p1-Win barrett79_mul32]

no factor for M3321934193 from 2^76 to 2^77 [mfaktc 0.16p1-Win barrett79_mul32]
no factor for M3321934193 from 2^77 to 2^78 [mfaktc 0.16p1-Win barrett79_mul32]

no factor for M3321934199 from 2^76 to 2^77 [mfaktc 0.16p1-Win barrett79_mul32]
no factor for M3321934199 from 2^77 to 2^78 [mfaktc 0.16p1-Win barrett79_mul32]

M3321936281 no factor from 60.000 bits to 71.000 bits.

Rodrigo

no factor for M3321934757 from 2^76 to 2^77 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321934757 from 2^77 to 2^78 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321934783 from 2^76 to 2^77 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321934783 from 2^77 to 2^78 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321934801 from 2^76 to 2^77 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321934801 from 2^77 to 2^78 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321934831 from 2^76 to 2^77 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321934831 from 2^77 to 2^78 [mfaktc 0.17-Win barrett79_mul32]

I had started before I posted in the checkout thread.

[code]
no factor for M3321935033 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935033 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935033 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935033 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935117 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935117 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935117 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935117 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935119 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935119 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935119 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935119 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935179 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935179 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935179 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935179 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935203 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935203 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935203 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935203 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935237 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935237 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935237 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935237 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
M3321935263 has a factor: 658657646944513310407
found 1 factor(s) for M3321935263 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935341 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935341 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935341 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935341 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935387 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935387 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935387 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935387 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
M3321935437 has a factor: 1695317956952380524487
found 1 factor(s) for M3321935437 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
M3321935581 has a factor: 2344665191939006081543
found 1 factor(s) for M3321935581 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935627 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935627 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935627 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935627 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935629 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935629 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935629 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935629 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935633 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935633 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935633 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935633 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935647 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935647 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935647 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935647 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935651 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935651 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935651 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935651 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935741 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935741 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935741 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935741 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935759 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935759 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935759 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
M3321935759 has a factor: 24763117131188857038881
found 1 factor(s) for M3321935759 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935783 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935783 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935783 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935783 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935791 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935791 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935791 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
[/code]so far 4 factor
M3321935263 has a factor: 658657646944513310407
found 1 factor(s) for M3321935263 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
M3321935437 has a factor: 1695317956952380524487
found 1 factor(s) for M3321935437 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
M3321935581 has a factor: 2344665191939006081543
found 1 factor(s) for M3321935581 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
M3321935759 has a factor: 24763117131188857038881
found 1 factor(s) for M3321935759 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]

still have 4-5 exponent to test

[QUOTE=firejuggler;261274]so far 4 factor
M3321935263 has a factor: 658657646944513310407
found 1 factor(s) for M3321935263 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
M3321935437 has a factor: 1695317956952380524487
found 1 factor(s) for M3321935437 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
M3321935581 has a factor: 2344665191939006081543
found 1 factor(s) for M3321935581 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
M3321935759 has a factor: 24763117131188857038881
found 1 factor(s) for M3321935759 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]

still have 4-5 exponent to test[/QUOTE]

So far [COLOR="Red"]3[/COLOR] factors, I'm afraid...

In fact, 24763117131188857038881 = 6643871519 × 3727211921599

Luigi

so, 3 then. didn't check their compositness
[code]
no factor for M3321935791 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935843 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935843 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935843 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935843 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935849 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935849 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935849 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935849 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935857 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935857 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935857 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935857 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935959 from 2^67 to 2^72 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935959 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935959 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935959 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
[/code]

no additionnal factor

Only two new factors, I think. 2344665191939006081543 was previously reported by gjmccrac.

I also note that M3321935263, M3321935437 and M3321935581 stopped at 72, not 75.

no factor for M3321935263 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935263 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935263 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935437 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935437 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935437 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935581 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935581 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321935581 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]

M3321935209 has no factor in [2^71, 2^72-1]

Grant.