is 2 3146659 - 1
has 947239 decimal digits
takes 0.268 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L75B8854367A9A978double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.942367.6471%31466596374375704.653210.4202%23.595471.0183%3.3712%
PrimeNet2600.048863.3333%130002400000.00312.6494%0.051964.3048%0.9714%
GPU722641.131165.6250%150002400000.00341.5439%1.134566.1557%0.5307%
Difference+4+17.8111+2.0221%+3131659+637197570+4.6498+8.8763%+22.4609+4.8626%+4.8626%

Known prime factors (1 factor, 89.5 bits, 0.00284361% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31466598625079568207883485285245512789.479137051386378503096225
3 × 52 × 11 × 37 × 173 × 382519 × 67846687
2019-03-303825196784668764,033,1040.50080.8520

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T07:23:00Carsten Kossendeyleela15000183750---0.003--0.770%
2011-09-06T14:30:00Squeeky_SquirrelT7500_220055000935000---0.013--1.824%
2013-09-01T19:58:00Squeeky_SquirrelP4_26001100002475000---0.029--2.684%
2016-11-14T10:45:03Squeeky_SquirrelP4_2600195000546000012---0.059--3.528%
2018-07-11T21:23:38Jocelyn Larouchelow 4M636000636000012---0.117--4.235%
2019-03-30T10:37:36mikrMSI3000000100000000122789.4791.0220.5362.0458.060%
2020-05-15T14:24:10Jocelyn LaroucheManual testing70276331466596---0.103--3.606%
2021-11-20T13:50:23Jocelyn LaroucheManual testing31466593146659---0.388--3.776%
2021-12-19T09:29:33Jocelyn LaroucheManual testing3146659108997350-
skipped known factor: 862507956820788348528524551
--1.100--8.196%
2021-12-22T09:19:32Jocelyn LaroucheManual testing3146659637437570-
skipped known factor: 862507956820788348528524551
--4.653--10.420%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T08:23:00S485122USB-A260261--0.049--
2011-11-05T06:07:00markroldgamer261262--0.098--
2013-01-03T08:44:00dbaughManual testing262263--0.312--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.624--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.187--
2015-06-14T13:51:00ThaManual testing265266--2.375--
2021-01-03T13:46:16Jocelyn LaroucheManual testing265266--2.375--
2017-04-20T01:22:36Gordon SpenceManual testing266267--4.750--
2018-12-24T09:14:09TJAOIManual testing267268--9.499--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.757 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.757 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.757


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-08T00:00:00ANONYMOUSv4_computers75B8854367A9A9780.268


PRP results:
dateuseridcompidcofactorsres64PRP
2019-04-01T17:46:49-Anonymous-
862507956820788348528524551
96E32E7588DE7F95no
2019-04-03T21:39:14kkmrkkblmbrbkc5.large
862507956820788348528524551
96E32E7588DE7F95no


P-1 factor-bounds graph:
B1 = 3146659, B2 = 637437570 (P-1 stage 2)
B1 = 3146659, B2 = 108997350 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3146659 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 636000, B2 = 6360000 (P-1 stage 2)
B1 = 702763, B2 = 3146659 (P-1 stage 2)
B1 = 702763 (P-1 stage 1)
B1 = 636000 (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 = 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: 2021-12-22T09:19:32+00:00