is 2 3177739 - 1
has 956595 decimal digits
takes 0.270 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L770FE8019CFE00A8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.757067.6471%30000001200000001.15698.2959%19.913970.3310%2.6840%
PrimeNet2600.048363.3333%130002400000.00312.6541%0.051564.3065%0.9732%
GPU722641.120165.6250%150002600000.00351.5827%1.123666.1690%0.5440%
Difference+4+17.6369+2.0221%+2985000+119740000+1.1534+6.7133%+18.7903+4.1620%+4.1620%

Known prime factors (1 factor, 87.6 bits, 0.00275722% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31777392373882117710010105757122792787.61737351747857675065601
3 × 41 × 211 × 433 × 29153 × 114012433
2019-09-082915311401243315,159,9960.77001.4318

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2009-07-03T00:54:00Carsten Kossendeyleela15000191250---0.003--0.781%
2011-09-11T18:10:00Squeeky_SquirrelT7500_220060000975000---0.014--1.885%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8019880198---0.010--0.753%
2014-09-29T22:04:00Jocelyn LaroucheManual testing100396100396---0.012--0.862%
2015-11-28T03:05:41Jocelyn LaroucheManual testing463312463312---0.057--1.865%
2015-11-30T00:35:53Jocelyn LaroucheManual testing509643509643---0.063--1.943%
2015-12-02T09:14:22HBendtzManual testing5000001200000012---0.139--4.714%
2019-09-08T18:05:05mikrMSI3000000120000000122787.6171.1570.5412.3148.296%
2020-09-02T16:37:22Jocelyn LaroucheManual testing52964363554786---0.105--4.162%
2022-01-06T11:35:15Jocelyn LaroucheManual testing1206302116447100-
skipped known factor: 237388211771001010575712279
--0.924--7.619%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-04T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T22:17:00S485122USB-Z260261--0.048--
2011-10-28T08:22:00Grant McCrackenthumper261262--0.097--
2013-01-03T08:45:00dbaughManual testing262263--0.309--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.618--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.176--
2015-06-18T20:57:00ThaManual testing265266--2.352--
2021-01-03T13:46:19Jocelyn LaroucheManual testing265266--2.352--
2021-02-18T11:47:37Jocelyn LaroucheManual testing266267--4.703--
2017-04-25T10:21:56Gordon SpenceManual testing266267--4.703--
2019-01-07T14:44:21TJAOIManual testing267268--9.406--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.760 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.760 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.760


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00ANONYMOUSv4_computers770FE8019CFE00A80.270


PRP results:
dateuseridcompidcofactorsres64PRP
2019-09-09T14:31:06mnd9office
237388211771001010575712279
3CEBFA54EDF1CD7Eno
2019-09-10T18:24:34Justine V.Gible_Desktop_1
237388211771001010575712279
3CEBFA54EDF1CD7Eno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 120000000 (P-1 stage 2)
B1 = 1206302, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1206302 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 529643, B2 = 6355478 (P-1 stage 2)
B1 = 529643 (P-1 stage 1)
B1 = 509643 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 463312 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 100396 (P-1 stage 1)
B1 = 80198 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-01-06T11:35:15+00:00