is 2 6976523 - 1
has 2100143 decimal digits
takes 1.521 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L720A6658A98CA1D0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.078868.0556%40000001100000003.09076.5360%140.169670.1435%2.0879%
PrimeNet2630.228863.4921%280007000000.02043.1642%0.249264.6473%1.1552%
GPU722674.259165.6716%450009000000.02902.2393%4.288166.4404%0.7687%
Difference+5+132.8197+2.3839%+3955000+109100000+3.0618+4.2968%+135.8815+3.7031%+1.3192%

Known prime factors:
No known factors for M6976523

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16T00:00:00ANONYMOUSv4_computers35000288750---0.015--0.757%
2011-12-01T07:23:00James HeinrichQ66001350002835000---0.089--2.034%
2020-01-29T15:48:03takahashivaio6000001200000012---0.386--3.585%
2021-11-22T13:43:08Seth_TrManual testing400000011000000012---3.091--6.536%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.088--
2005-08-01T00:00:00ANONYMOUSv4_computers21263--0.229--
2014-02-09T10:18:00NesowaManual testing263264--0.281--
2014-02-15T15:52:00lycornManual testing264265--0.536--
2015-07-03T01:16:00VictordeHollanderManual testing265266--1.071--
2016-04-26T14:24:10Gordon SpenceManual testing266267--2.142--
2018-02-27T00:22:02-Anonymous-Manual testing267268--4.285--
2020-04-24T07:20:53TJAOIManual testing268269--8.569--
2021-08-08T08:07:42takahashiManual testing269270--17.14--
2021-09-06T18:10:48SRBaseManual testing270271--34.28--
2021-09-25T07:06:59SRBaseManual testing271272--68.55--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers720A6658A98CA1D01.521
2001-10-20T00:00:00ANONYMOUSv4_computers720A6658A98CA1D01.521


PRP results:
No PRP results for M6976523


P-1 factor-bounds graph:
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 288750 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-22T13:43:08+00:00