is 2 927631 - 1
has 279245 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L59ADAD0294C9766Ddouble-checked
PRP54336AB0E167AC8EPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26864.254970.5882%5000000012636914390102,422.579221.8792%2,486.834277.0233%6.4351%
PrimeNet2400.000050.0000%80003600000.001023.3914%0.001061.6957%11.6957%
GPU722440.000054.5455%150006000000.001618.0455%0.001762.7480%8.2025%
Difference+24+64.2549+16.0428%+49985000+1263690839010+2,422.5776+3.8337%+2,486.8325+14.2753%-1.7675%

Known prime factors (1 factor, 137.5 bits, 0.01482357% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
92763124777231677515653712344793235065083948637742137.508133551119343336163368541980782579948
22 × 109 × 31489 × 183299 × 19870387 × 20886601 × 127869799
2022-08-07208866011278697991.448e+110.93941.4947

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.128%
2002-07-20T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.711%
2002-12-31T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.433%
2003-08-31T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.281%
2011-06-02T21:39:00Jocelyn LaroucheManual testing200000200000---0.007--1.018%
2011-07-13T12:29:00Jocelyn LaroucheManual testing219726219726---0.008--1.070%
2011-10-22T14:59:00Jocelyn LaroucheManual testing732421732421---0.026--1.888%
2013-10-13T10:27:00David Campeaui5-2500k96500025090000---0.080--5.046%
2013-12-30T11:34:00alpertronManual testing10000000500000000---1.290--9.847%
2022-08-07T14:29:32axnManual testing50000000126369143901042137.5082,4230.0454,84521.879%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-26T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-06-28T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-06-29T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.021--
2003-08-31T00:00:00ANONYMOUSv4_computers21258--0.041--
2016-02-23T16:28:17Mark RoseManual testing258260--0.124--
2010-05-21T04:40:00Architects Cubedm1_tt260261--0.166--
2014-09-16T18:39:00lycornsnail261262--0.331--
2015-09-22T08:05:00Gordon SpenceManual testing262263--1.058--
2015-09-22T08:05:00Gordon SpenceManual testing263264--2.116--
2015-12-31T13:29:25lycornManual testing264265--4.028--
2017-12-04T03:25:35Smok_bmvManual testing265266--8.056--
2017-12-04T03:25:35Smok_bmvManual testing266267--16.11--
2017-12-05T03:22:48Smok_bmvManual testing267268--32.22--


ECM factoring results:
Total ECM effort:14.516 GHz-days
Estimated T-Level:25.680
DigitsB1CompleteFacMiss
201100015.0420.000%
25500001.65819.044%
302500000.13687.289%
3510000000.00999.091%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002807.892
25000025000000476.624


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-08T00:00:00ANONYMOUSv4_computers59ADAD0294C9766D0.022
2015-04-11T21:21:00MadPooManual testing59ADAD0294C9766D0.022


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-07T21:55:36Naegi Makoto
247772316775156537123447932350650839486377
54336AB0E167AC8Eno


P-1 factor-bounds graph:
B1 = 50000000, B2 = 1263691439010 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 965000, B2 = 25090000 (P-1 stage 2)
B1 = 965000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 732421 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 219726 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
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103
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1010
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TF factor-bounds graph:
268
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266
265
264
263
262
261
260
258
257
256
255
250
260
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2100
2110
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Last modified: 2022-08-07T21:55:36+00:00