is 2 2077969 - 1
has 625531 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L410409DCBD147DE0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.299568.6567%500000150000000.12305.1467%14.422570.2698%1.6131%
PrimeNet2580.018563.7931%90001600000.00162.6724%0.020164.7607%0.9676%
GPU722620.295766.1290%90001300000.00151.3675%0.297166.5922%0.4632%
Difference+5+14.0038+2.5277%+491000+14870000+0.1215+3.7792%+14.1253+3.6776%+3.6776%

Known prime factors (1 factor, 74.8 bits, 0.00360062% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2077969333421796308311267213592374.8208022780809249591
7 × 11 × 104191958561683
2015-07-24111041919585616833,160.7541,1991,010,809

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.276%
2009-07-25T13:44:00harleeP4_260020000260000---0.003--1.018%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.414%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.595%
2011-01-21T05:33:00James HeinrichQ66001350003105000---0.028--3.096%
2014-11-12T02:17:00Jocelyn LaroucheManual testing165888165888---0.016--1.210%
2015-01-29T22:02:00Jocelyn LaroucheManual testing207360207360---0.020--1.357%
2015-01-30T21:42:00Jocelyn LaroucheManual testing228096228096---0.022--1.422%
2015-02-01T13:32:00Jocelyn LaroucheManual testing250905250905---0.024--1.490%
2015-02-02T07:32:00Jocelyn LaroucheManual testing275995275995---0.026--1.559%
2015-02-12T12:33:00Jocelyn LaroucheManual testing444490444490---0.042--1.933%
2015-02-14T12:30:00Jocelyn LaroucheManual testing537832537832---0.051--2.096%
2015-02-16T20:56:00Jocelyn LaroucheManual testing591615591615---0.056--2.181%
2015-02-25T03:47:00Jocelyn LaroucheManual testing650776650776---0.062--2.267%
2015-03-03T20:46:00Jocelyn LaroucheManual testing715853715853---0.068--2.355%
2015-03-12T10:39:00Jocelyn LaroucheManual testing787438787438---0.075--2.445%
2015-03-15T18:55:00Jocelyn LaroucheManual testing866181866181---0.083--2.536%
2015-04-08T16:59:00Jocelyn LaroucheManual testing10480781048078---0.100--2.725%
2015-05-01T17:21:00Jocelyn LaroucheManual testing12681731268173---0.121--2.921%
2015-05-07T16:19:00Jocelyn LaroucheManual testing13949901394990---0.133--3.022%
2015-05-22T00:29:00Jocelyn LaroucheManual testing15344891534489---0.146--3.125%
2015-05-26T18:17:00Jocelyn LaroucheManual testing16879371687937---0.161--3.229%
2015-06-08T13:43:00Jocelyn LaroucheManual testing18567301856730---0.177--3.336%
2015-06-25T21:15:00Jocelyn LaroucheManual testing20424032042403---0.195--3.444%
2015-07-07T18:13:00Jocelyn LaroucheManual testing22466432246643---0.214--3.553%
2016-03-16T13:44:38alpertronManual testing5000001500000012---0.123--5.147%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T08:46:52LordJuliusManual testing21260--0.074--
2009-01-02T21:54:00Sturle Sundehummel.ifi260261--0.074--
2012-03-17T08:48:00Sebastian HornbostelManual testing261262--0.148--
2013-09-02T08:36:00ramgeisManual testing262263--0.472--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.945--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.798--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.125 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.125 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.80644.644%
25500000.07392.971%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000221.870
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers410409DCBD147DE00.137


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T16:01:16Oliver KruseGTX-2
33342179630831126721359
C035FF9CE42783__no
2017-11-16T12:15:38kkmrkkblmbrbkc4.xlarge
33342179630831126721359
C035FF9CE42783__no


P-1 factor-bounds graph:
B1 = 2246643 (P-1 stage 1)
B1 = 2042403 (P-1 stage 1)
B1 = 1856730 (P-1 stage 1)
B1 = 1687937 (P-1 stage 1)
B1 = 1534489 (P-1 stage 1)
B1 = 1394990 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1268173 (P-1 stage 1)
B1 = 1048078 (P-1 stage 1)
B1 = 866181 (P-1 stage 1)
B1 = 787438 (P-1 stage 1)
B1 = 715853 (P-1 stage 1)
B1 = 650776 (P-1 stage 1)
B1 = 591615 (P-1 stage 1)
B1 = 537832 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 444490 (P-1 stage 1)
B1 = 135000, B2 = 3105000 (P-1 stage 2)
B1 = 275995 (P-1 stage 1)
B1 = 250905 (P-1 stage 1)
B1 = 228096 (P-1 stage 1)
B1 = 207360 (P-1 stage 1)
B1 = 165888 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-23T19:25:25+00:00