no factor for M3321930977 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931043 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931057 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931099 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]


And the two you asked me to check Christenson:
no factor for M3321930613 from 2^79 to 2^80 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321930461 from 2^79 to 2^80 [mfaktc 0.17-Win barrett92_mul32]

M3321935861 has no factor in [2^72, 2^73-1]

M3321936599 has a factor: 28135907273189318839

Done from 60.000 bits to 71.000 bits.

Rodrigo

no factor for M3321930397 from 2^79 to 2^80 [mfaktc 0.17 barrett92_mul32]
no factor for M3321930397 from 2^80 to 2^81 [mfaktc 0.17 barrett92_mul32]

no factor for M3321931163 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931243 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321931289 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931363 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321931381 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931429 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321931433 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931513 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321930371 from 2^79 to 2^80 [mfaktc 0.17 barrett92_mul32]
no factor for M3321930371 from 2^80 to 2^81 [mfaktc 0.17 barrett92_mul32]

no factor for M3321931531 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931601 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321931619 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931777 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321931829 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931919 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321931931 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321931967 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

M3321936679 no factor from 60.000 bits to 71.000 bits.

Rodrigo

no factor for M3321930349 from 2^79 to 2^80 [mfaktc 0.17 barrett92_mul32]
Continuing to 81 bits...

no factor for M3321931993 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321932093 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321932111 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321932123 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321932143 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321932161 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

no factor for M3321932359 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]
no factor for M3321932491 from 2^81 to 2^82 [mfaktc 0.17-Win barrett92_mul32]

Partial double-check
 

M3321928097 has a factor: 6158854691839
M3321928097 has a factor: 41457662650561
found 2 factor(s) for M3321928097 from 2^40 to 2^72 [mfaktc 0.17-Win 75bit_mul32]
M3321928097 has a factor: 7771207163883536443921
found 1 factor(s) for M3321928097 from 2^72 to 2^73 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321928097 from 2^73 to 2^74 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321928097 from 2^74 to 2^75 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321928097 from 2^75 to 2^76 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321928097 from 2^76 to 2^77 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321928097 from 2^77 to 2^78 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321928097 from 2^78 to 2^79 [mfaktc 0.17-Win barrett79_mul32]
no factor for M3321928097 from 2^79 to 2^80 [mfaktc 0.17-Win barrett92_mul32]

(and not continuing on this exponent, gone on to unfactored fields)