is 2 2101061 - 1
has 632483 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7ED23BA31D7328DDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.142367.1642%39814461234248401.00008.8388%15.142370.0665%2.9023%
PrimeNet2580.018362.0690%90001600000.00162.6780%0.019963.0848%1.0158%
GPU722620.292464.5161%100001400000.00161.4515%0.294065.0312%0.5150%
Difference+5+13.8499+2.6481%+3971446+123284840+0.9984+7.3874%+14.8483+5.0353%+5.0353%

Known prime factors (1 factor, 73.6 bits, 0.00350130% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2101061139673659868266548399912373.5643323883977387295
3 × 5 × 72 × 17 × 71 × 3746720071
2017-10-177137467200711,717.519.46136.348

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-01T13:59:00harleeP4_260020000260000---0.003--1.020%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.415%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.596%
2011-01-24T00:31:00James HeinrichQ66001400002975000---0.028--3.091%
2016-07-10T11:59:29Jocelyn LaroucheManual testing186340595000012---0.048--3.758%
2016-11-07T03:11:23Jocelyn Larouchelow 4M223608223608---0.021--1.411%
2016-11-11T16:54:50Jocelyn Larouchelow 4M268329268329---0.026--1.541%
2017-05-02T21:15:04nordiManual testing398144612342484012---1.000--8.839%
2017-05-31T03:38:53Jocelyn Larouchelow 4M37268037268006---0.053--3.730%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:05Mark RoseManual testing21260--0.073--
2009-01-02T19:18:00Sturle Sunderodolfo.ifi260261--0.073--
2012-03-25T08:47:00Sebastian HornbostelManual testing261262--0.146--
2013-09-04T10:21:00ramgeisManual testing262263--0.467--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.934--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.778--
2015-12-23T09:51:17ramgeisManual testing265266--3.557--
2016-10-01T21:16:25Gordon SpenceManual testing266267--7.113--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.319 GHz-days
Estimated T-Level:4.300
DigitsB1CurvesCompleteFacMiss
201100086 / 1000.86042.133%
255000086 / 2800.30773.514%

New Calculation Method

Total ECM effort:7.319 GHz-days
Estimated T-Level:4.300
DigitsB1CompleteFacMiss
20110003.3083.660%
25500000.30673.635%
302500000.01998.088%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.808
500005000000534.510


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00Dylan Jonesv4_computers7ED23BA31D7328DD0.138


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-18T08:13:09Oliver KruseGTX-1
13967365986826654839991
8138D510DD4A23__no
2017-11-17T03:52:20kkmrkkblmbrbkc4.xlarge
13967365986826654839991
8138D510DD4A23__no


P-1 factor-bounds graph:
B1 = 3981446, B2 = 123424840 (P-1 stage 2)
B1 = 3981446 (P-1 stage 1)
B1 = 372680, B2 = 3726800 (P-1 stage 2)
B1 = 186340, B2 = 5950000 (P-1 stage 2)
B1 = 372680 (P-1 stage 1)
B1 = 140000, B2 = 2975000 (P-1 stage 2)
B1 = 268329 (P-1 stage 1)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (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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1010
TF factor-bounds graph:
267
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265
264
263
262
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2100
Last modified: 2017-11-17T03:52:20+00:00