is 2 3185887 - 1
has 959048 decimal digits
takes 0.271 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L807E6F87EEB7D1D6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.709067.6471%31858876374375704.657710.4422%23.366871.0254%3.3784%
PrimeNet2600.048263.3333%130002400000.00312.6553%0.051364.3069%0.9736%
GPU722641.117265.6250%150002600000.00351.5834%1.120766.1693%0.5443%
Difference+4+17.5918+2.0221%+3170887+637177570+4.6542+8.8588%+22.2461+4.8561%+4.8561%

Known prime factors (1 factor, 88.0 bits, 0.00276195% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31858873079034060839452942386425132787.99348323026849970713688
23 × 17 × 449 × 3217 × 4649 × 52912499
2019-10-0546495291249911,643,8320.35630.6645

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T07:20:00Carsten Kossendeyleela15000191250---0.003--0.782%
2011-09-13T01:39:00Squeeky_SquirrelT7500_220060000975000---0.014--1.886%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8014680146---0.010--0.753%
2014-09-29T22:05:00Jocelyn LaroucheManual testing100292100292---0.012--0.862%
2015-11-28T03:05:36Jocelyn LaroucheManual testing448838448838---0.055--1.840%
2015-11-30T00:35:48Jocelyn LaroucheManual testing493721493721---0.061--1.918%
2015-12-02T01:07:33Jocelyn LaroucheManual testing543093543093---0.067--1.997%
2016-03-15T11:21:28Jocelyn LaroucheManual testing651711117307986---0.155--4.835%
2019-10-06T01:44:07mikrMSI4000000150000000122787.9931.4750.5422.9518.757%
2021-11-20T13:50:22Jocelyn LaroucheManual testing31858873185887---0.393--3.796%
2021-12-19T09:29:49Jocelyn LaroucheManual testing3185887108997350-
skipped known factor: 307903406083945294238642513
--1.105--8.213%
2021-12-22T09:19:32Jocelyn LaroucheManual testing3185887637437570-
skipped known factor: 307903406083945294238642513
--4.658--10.442%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-16T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T22:16:00S485122USB-Z260261--0.048--
2011-10-13T03:08:00Grant McCrackenthumper261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.308--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.616--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.173--
2015-06-21T21:40:00ThaManual testing265266--2.346--
2021-01-03T13:46:16Jocelyn LaroucheManual testing265266--2.346--
2021-02-18T11:47:34Jocelyn LaroucheManual testing266267--4.691--
2017-05-01T03:37:55Gordon SpenceManual testing266267--4.691--
2019-01-07T14:44:19TJAOIManual testing267268--9.382--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.761 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.761 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.761


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers807E6F87EEB7D1D60.271


PRP results:
dateuseridcompidcofactorsres64PRP
2019-10-06T10:39:27mnd9touchdown
307903406083945294238642513
C5B0ED1AF33FA9C5no
2019-10-09T12:46:52GANKL-SCH05
307903406083945294238642513
C5B0ED1AF33FA9C5no


P-1 factor-bounds graph:
B1 = 3185887, B2 = 637437570 (P-1 stage 2)
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 3185887, B2 = 108997350 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3185887 (P-1 stage 1)
B1 = 651711, B2 = 11730798 (P-1 stage 2)
B1 = 651711 (P-1 stage 1)
B1 = 543093 (P-1 stage 1)
B1 = 493721 (P-1 stage 1)
B1 = 448838 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 100292 (P-1 stage 1)
B1 = 80146 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-22T09:19:32+00:00