is 2 3137627 - 1
has 944520 decimal digits
takes 0.267 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP3E53BF434A92FCC0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.996867.6471%30000001000000001.02248.0574%20.019270.2539%2.6068%
PrimeNet2600.049063.3333%130002400000.00312.6480%0.052164.3043%0.9709%
GPU722641.134465.6250%150002400000.00341.5430%1.137866.1554%0.5304%
Difference+4+17.8624+2.0221%+2985000+99760000+1.0191+6.5144%+18.8815+4.0985%+4.0985%

Known prime factors (1 factor, 70.4 bits, 0.00224280% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
313762715263771192639767030012270.371243237503894500
22 × 53 × 79 × 6157911491
2020-12-241256157911491135.2141.40477.332

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%
2011-09-05T05:44:00Squeeky_SquirrelT7500_220055000935000---0.013--1.823%
2013-09-01T03:13:00Squeeky_SquirrelT7500_22001100002475000---0.029--2.683%
2016-11-07T06:31:21Squeeky_SquirrelP4_2600195000546000012---0.059--3.527%
2017-01-10T17:24:07Jocelyn Larouchelow 4M132000132000---0.016--1.005%
2018-07-17T23:14:19Jocelyn Larouchelow 4M6540001308000---0.085--2.778%
2018-07-19T10:19:08Jocelyn Larouchelow 4M6540002616000---0.094--3.414%
2018-07-19T20:38:16Jocelyn Larouchelow 4M6540003270000---0.098--3.621%
2019-02-04T01:53:03mikrMSI300000010000000012---1.022--8.057%
2021-01-18T06:10:45Jocelyn LaroucheManual testing68400031376276---0.101--3.595%
2022-01-22T13:05:15Jocelyn LaroucheManual testing1000000119912100---0.923--7.491%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T19:14:00S485122USB-Z260261--0.049--
2011-11-09T12:57:00Grant McCrackenthumper261262--0.098--
2013-01-03T08:44:00dbaughManual 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--4.763--
2017-04-17T17:51:58Gordon SpenceManual testing266267--4.763--
2019-01-07T14:44:23TJAOIManual testing267268--9.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.926 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.926 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.80644.644%
25500000.07392.971%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.575
50000500000030.351


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers130B37908466AB__0.267


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-25T21:56:48Niels_Mache_Nextcloudconf4-a
1526377119263976703001
3E53BF434A92FCC0no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 684000, B2 = 3137627 (P-1 stage 2)
B1 = 654000, B2 = 3270000 (P-1 stage 2)
B1 = 654000, B2 = 2616000 (P-1 stage 2)
B1 = 654000, B2 = 1308000 (P-1 stage 2)
B1 = 684000 (P-1 stage 1)
B1 = 654000 (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: 2022-01-22T13:05:15+00:00