is 2 3137471 - 1
has 944473 decimal digits
takes 0.267 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP61EEBBA7A467BD__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.997767.6471%31374716374375704.652110.4150%23.649871.0166%3.3695%
PrimeNet2600.049063.3333%130002400000.00312.6479%0.052164.3042%0.9709%
GPU722641.134565.6250%150002400000.00341.5430%1.137866.1554%0.5304%
Difference+4+17.8633+2.0221%+3122471+637197570+4.6487+8.8719%+22.5120+4.8612%+4.8612%

Known prime factors (1 factor, 79.6 bits, 0.00253694% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31374719134338676645589320619192479.596145568495719093329
33 × 43 × 167 × 4639 × 161843153
2020-11-16463916184315345,1801.08872.0324

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T00:56:00Carsten Kossendeyleela15000183750---0.003--0.769%
2011-09-05T04:56:00Squeeky_SquirrelT7500_220055000935000---0.013--1.823%
2013-09-01T00:15:00Squeeky_SquirrelT7500_22001100002475000---0.029--2.683%
2016-11-07T02:21:08Squeeky_SquirrelP4_2600195000546000012---0.059--3.527%
2017-01-10T17:24:07Jocelyn Larouchelow 4M132000132000---0.016--1.005%
2018-07-15T19:00:15Jocelyn Larouchelow 4M6740002696000---0.097--3.450%
2018-07-16T10:16:46Jocelyn Larouchelow 4M6740004044000---0.106--3.829%
2019-02-02T19:34:29mikrMSI300000010000000012---1.022--8.057%
2021-01-17T00:34:24Jocelyn LaroucheManual testing70400031374716---0.103--3.603%
2021-11-22T00:58:59Jocelyn LaroucheManual testing31374713137471---0.387--3.771%
2021-12-19T09:29:31Jocelyn LaroucheManual testing3137471108997350---1.099--8.192%
2021-12-22T09:19:36Jocelyn LaroucheManual testing3137471637437570-
skipped known factor: 913433867664558932061919
--4.652--10.415%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T19:14:00S485122USB-Z260261--0.049--
2011-11-09T06:39:00Grant McCrackenthumper261262--0.098--
2013-01-07T14:05:00dbaughManual testing262263--0.313--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.626--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.191--
2015-06-14T13:51:00ThaManual testing265266--2.382--
2021-02-18T11:47:35Jocelyn LaroucheManual testing265266--2.382--
2021-02-18T21:10:23Jocelyn LaroucheManual testing266267--4.764--
2017-04-17T17:51:58Gordon SpenceManual testing266267--4.764--
2019-01-07T14:44:23TJAOIManual testing267268--9.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.575 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:2.575 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.71049.180%
25500000.06493.787%
302500000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.756
50000500000070.819


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersF4AE02E5C35CE9__0.267


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-19T21:48:11arnaudSRV-130
913433867664558932061919
61EEBBA7A467BD__no
2020-12-17T12:55:12Oliver KruseIOS-5
913433867664558932061919
61EEBBA7A467BD57no


P-1 factor-bounds graph:
B1 = 3137471, B2 = 637437570 (P-1 stage 2)
B1 = 3137471, B2 = 108997350 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3137471 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 674000, B2 = 4044000 (P-1 stage 2)
B1 = 704000, B2 = 3137471 (P-1 stage 2)
B1 = 674000, B2 = 2696000 (P-1 stage 2)
B1 = 704000 (P-1 stage 1)
B1 = 674000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 110000, B2 = 2475000 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 935000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 183750 (P-1 stage 2)
B1 = 15000 (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: 2021-12-22T09:19:36+00:00