M[M]168628223[/M] has a factor between 2^110 to 2^111: 1469669652995445433018230941584663

[M]M14657387[/M] has a 183.587-bit (56-digit) [b]composite[/b] (P24+P32) factor: [url=https://www.mersenne.ca/M14657387]18413636509265873444254512179821235243842945866131842033[/url] (P-1,B1=2100000,B2=534604980)

Don't you just hate it when something like [URL="https://www.mersenne.ca/exponent/11786351"]this happens...[/URL]

M[M]332250001[/M] has a 79-bit factor: 408432593734312309699081

My third TF success in the low 100M-digit range, and my first at this bit level

M[M]109527281[/M] has a 106-bit P-1 factor: 41531772420988543046370478147111

My first P-1 score > 100 bits.

[M]M14630887[/M] has a 77.155-bit (24-digit) factor: [URL="https://www.mersenne.ca/M14630887"]168255486935289360263863[/URL] (P-1,B1=2100000,B2=534604980)


what is so interesting about it? K is very unsmooth
k=3^4 × 43^2 × 83 × 462 560 519

[QUOTE=firejuggler;599928]<snip>
K is very unsmooth
k=3^4 × 43^2 × 83 × 462 560 519[/QUOTE]Interesting. I have a sneaking hunch that the software might be written to make provision for k having almost all small prime factors, except for a single prime factor larger than the exponent.

Ok ok... but for me it is rare that the difference is so large

[M]M14602481[/M] has a 122.486-bit (37-digit) factor: [url=https://www.mersenne.ca/M14602481]7445406722651794964602916059035754921[/url] (P-1,B1=2100000,B2=534604980)


122 bits! it is a top five!

[QUOTE=firejuggler;600107]Ok ok... but for me it is rare that the difference is so large

[M]M14602481[/M] has a 122.486-bit (37-digit) factor: [url=https://www.mersenne.ca/M14602481]7445406722651794964602916059035754921[/url] (P-1,B1=2100000,B2=534604980)


122 bits! it is a top five![/QUOTE]:party:[code]? q=7445406722651794964602916059035754921;print(factor(q-1))
[2, 3; 3, 1; 5, 1; 23, 1; 661, 1; 743, 1; 825107, 1; 1506943, 1; 14602481, 1; 302520859, 1]
?[/code]

[M]M10674101[/M] has a 128.559-bit (39-digit) factor: [URL="https://www.mersenne.ca/M10674101"]501429461099632378102024867763831999287[/URL] (P-1,B1=1000000,B2=683234370)

:mike:

[QUOTE=Xyzzy;600188][M]M10674101[/M] has a 128.559-bit (39-digit) factor (P-1,B1=1000000,B2=683234370)[/QUOTE]B1 used: 1,000,000 but you could've found it in stage-1 with B1 = 1,058,921 :rogue: