is 2 1116491 - 1
has 336098 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L71F1AD087D9B2DEDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.613768.6567%50000002000000000.67159.0828%27.285171.5036%2.8468%
PrimeNet2560.008662.5000%4500700000.00032.0799%0.008963.2800%0.7800%
GPU722600.137665.0000%4500220000.00020.6862%0.137865.2402%0.2402%
Difference+7+26.4761+3.6567%+4995500+199978000+0.6712+8.3966%+27.1473+6.2634%+6.2634%

Known prime factors (1 factor, 100.0 bits, 0.00895480% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
111649112497908478083980753357390088073199.980559695889984065288182233
19 × 79 × 233 × 257 × 461 × 193943 × 69647791
2015-03-11193943696477911.443e+110.17100.3046

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-10T00:00:00Jocelyn Larouchev4_computers15000168750---0.001--0.706%
2012-10-27T09:30:00kurlysmile50000010000000---0.044--4.411%
2015-03-11T21:09:00mikrMSI5000000200000000123199.9800.6710.0661.3439.083%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-04-27T00:00:00ANONYMOUSv4_computers21258--0.034--
2022-03-07T17:30:52LordJuliusManual testing258260--0.103--
2009-02-19T17:25:00Sturle Sundegideon.ifi260261--0.138--
2011-05-09T14:44:00XyzzyManual testing261262--0.275--
2012-10-13T12:00:00dbaughManual testing262263--0.879--
2014-12-22T09:46:00Matthias WurtingerManual testing263264--1.758--
2014-12-31T13:39:00lycornManual testing264265--3.347--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.671 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.671 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.91
25000025000000447.760


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-05-05T00:00:00ANONYMOUSv4_computers71F1AD087D9B2DED0.033


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T03:34:00Oliver KruseGTX-3
1249790847808398075335739008807
F43E4C71E37924__no
2017-10-16T18:15:34Oliver KruseThreadripper
1249790847808398075335739008807
F43E4C71E37924__no
2018-01-02T07:40:56ATHwork
1249790847808398075335739008807
F43E4C71E37924__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
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109
TF factor-bounds graph:
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264
263
262
261
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258
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2100
Last modified: 2022-03-07T17:30:52+00:00