is 2 261241 - 1
has 78642 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267113.741473.1343 %30000000100358126969105,417.947323.4632 %5,531.688779.4379 %
Target2440.000059.0909 %50006000000.000410.5595 %0.000463.4107 %
Difference+23+113.7414+14.0434 %+29995000+10035812096910+5,417.9469+12.9037%+5,531.6883+16.0272 %

Known prime factors (5 factors, 309.5 bits, 0.11849194% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2612415747303722.45411
11
-1112.144e-121.531e-82.017e-8
2612419081075075233511549.6901738064675
52 × 3217 × 21611
2014-05-083217216110.00044.180e-56.487e-5
26124115233639704587069335512270.3682915629572805775
52 × 72 × 47 × 4663 × 10860079
2015-10-024663108600791,337.70.00590.0109
2612412190221552270493461264632477.535419195599517398391
17 × 19 × 43 × 30181841710519
2015-10-024330181841710519132,66016,29330,431
2612418765999910153980483414109592789.5021677761130556455625919
7 × 239680161508065089417
2020-07-277239680161508065089417928,550,1811.294e+112.417e+11

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-09-15Oliver KruseOllaptop30000000300000000024
skipped known factor: 5747303
skipped known factor: 908107507523351
skipped known factor: 1523363970458706933551
--1.93944.108%
2022-05-03Oliver KruseThreadripper-PC3000000010035812696910
skipped known factor: 5747303
skipped known factor: 908107507523351
skipped known factor: 1523363970458706933551
--5,63863.214%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-05-08TJAOIManual testing??
49.690
15


ECM factoring results:
Total ECM effort:14.907 GHz-days
Estimated T-Level:28.096
DigitsB1CompleteFacMiss
201100043.4260.000%
25500006.0130.245%
302500000.61953.839%
3510000000.05095.114%
4030000000.00399.669%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002221.619
500005000000170.124
500005000000420.306
250000250000002177.679
2500002500000010.036
25000033000000502.017
2500003425000070.292
25000036500000431.610
2500003675000070.301
25000038500000210.922


Lucas-Lehmer results:
No L-L results for M261241


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptopCC5D9A60BC5BB7__
2017-10-12Oliver KruseGTX-2
5747303
908107507523351
1523363970458706933551
219022155227049346126463
CC5D9A60BC5BB7FE
2017-11-06kkmrkkblmbrbkc4.xlarge
5747303
908107507523351
1523363970458706933551
219022155227049346126463
CC5D9A60BC5BB7FE
2020-04-17Oliver KruseAddPrpType5
5747303
908107507523351
1523363970458706933551
219022155227049346126463
DA467A1FAA45C2B3
2020-07-27M Millercruncher
5747303
908107507523351
1523363970458706933551
219022155227049346126463
876599991015398048341410959
DA467A1FAA45C2B3


CERT results:
No CERT results for M261241


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
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103
104
105
106
107
108
100
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104
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109
1010
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1012
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1015
1016
1017
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1019
1020
1021
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.1 ~= 77-bit
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290
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Last modified: 2024-03-13T02:15:48+00:00