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Old 2022-01-18, 16:51   #2036
Luminescence
 
Oct 2021
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10404679: 118793848017180226139209650887 (30 digits, 96.584 bits)

This looks like any old factor... until you take a look at the effort required for this one. Normal P-1 is at 1,069.7 GHz-days and the min. bounds are B1=597,137 and B2=22,193,557,699

Bless version 30.8
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Old 2022-01-20, 14:26   #2037
Xyzzy
 
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Aug 2002

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10713539

M10713539 has a factor: 9646618965808297396650789217449140593554849484807561 (P-1, B1=3000000, B2=21676825170)

7259945416488565152965177 × 1328745384765454647667709393


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Old 2022-01-20, 17:46   #2038
bur
 
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79*6581e-4;3*2539e-3

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It was suggested that ECM often makes more sense on those smaller Mersenne than P-1, and yes, there are a lot of low-hanging fruits with t35 done only partially. 1500 B1=1M curves on a 10 core take about 1.5 days and you can be fairly certain you won't miss any factor < 35 digits with that.

Code:
First hit:

M177949
Factor: 33673305014952064901960880605783657 (35 digits)

ECM B1=1000000, B2=167000000, Sigma=3976350787451175
k = 2^2 × 7 × 113 × 29903617016456689669335223 (boom, take that, P-1)

Group order:
2^4 × 3 × 251 × 3319 × 26111 × 111767 × 477073 × 741043 × 816203
Don't take this too serious, I did a lot of P-1 and even P+1 and I definitely get the lottery appeal of it with the chance to score big... :)
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