is 2 9862487 - 1
has 2968905 decimal digits
takes 2.877 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L17EAEFBB27B6AEDDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27296.966866.6667%2000000410831850095.462310.1034%192.429070.0345%3.3678%
PrimeNet2640.360962.5000%4000012000000.04363.5897%0.404563.8461%1.3461%
GPU722686.043664.7059%6500015000000.06062.5623%6.104165.6102%0.9043%
Difference+4+90.9232+1.9608%+1935000+4106818500+95.4017+7.5411%+186.3249+4.4242%+2.4635%

Known prime factors (1 factor, 123.4 bits, 0.00125141% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
98624871422739886490408380435430107862969955138123.420721288599158816828065492054825
52 × 7 × 19 × 101 × 733 × 829 × 686731 × 1271687 × 4047349
2022-08-30127168740473491.533e+100.60181.0946

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00ANONYMOUSv4_computers1100001402500---0.076--1.722%
2019-04-27T15:05:28harleei5-5250U_16005650001793875012---0.639--4.023%
2022-08-30T21:38:26ThaZ-1702000000410831850038123.42095.465.753190.910.103%
2022-09-16T06:55:35riccardo ubertiColab_noGPU142000000104603070-
skipped known factor: 14227398864904083804354301078629699551
--3.210--6.320%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-09-22T08:05:27riccardo ubertiColab_noGPU1520000005000000027--2.370
2022-09-27T23:29:34riccardo ubertiColab_noGPU1523000006000000065--2.781


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-04T00:00:00delongv4_computers21264--0.361--
2013-08-24T14:29:00NesowaManual testing264265--0.379--
2015-04-30T21:51:00VictordeHollanderManual testing265266--0.758--
2016-12-07T04:44:37snme2pm1Manual testing266267--1.515--
2016-12-07T04:44:37snme2pm1Manual testing267268--3.031--
2019-09-17T01:05:02chuenkitManual testing268269--6.062--
2021-08-22T16:44:21SRBaseManual testing269270--12.12--
2021-09-06T17:52:30SRBaseManual testing270271--24.25--
2021-10-21T19:14:15SRBaseManual testing271272--48.49--


ECM factoring results:
Total ECM effort:10.165 GHz-days
Estimated T-Level:3.077
DigitsB1CompleteFacMiss
20110000.61554.043%
25500000.05994.272%
302500000.00499.621%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.331
5000014967067108.834


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-06-23T00:00:00ANONYMOUSv4_computers17EAEFBB27B6AEDD2.877
2003-07-30T00:00:00ANONYMOUSv4_computers17EAEFBB27B6AEDD2.877


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-06T04:38:46riccardo ubertiNomad2C
14227398864904083804354301078629699551
79A1FD7888088456no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 4108318500 (P-1 stage 2)
B1 = 2000000, B2 = 104603070 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 565000, B2 = 17938750 (P-1 stage 2)
B1 = 565000 (P-1 stage 1)
B1 = 110000, B2 = 1402500 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-09-27T23:29:34+00:00