is 2 3139723 - 1
has 945151 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-L8A217797054D833Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.984167.6471%30000001000000001.02248.0580%20.006670.2540%2.6070%
PrimeNet2600.048963.3333%130002400000.00312.6483%0.052064.3044%0.9710%
GPU722641.133665.6250%150002400000.00341.5432%1.137066.1555%0.5305%
Difference+4+17.8505+2.0221%+2985000+99760000+1.0191+6.5147%+18.8696+4.0986%+4.0986%

Known prime factors (1 factor, 79.9 bits, 0.00254439% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
313972311176899475977320167876492579.887177991808130483488
25 × 5562244004077609
2020-12-2432556224400407760960,33237,399,29369,851,464

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T00:58:00Carsten Kossendeyleela15000183750---0.003--0.769%
2011-09-05T12:10:00Squeeky_SquirrelT7500_220055000935000---0.013--1.823%
2013-09-01T22:46:00Squeeky_SquirrelT7500_22001100002475000---0.029--2.684%
2016-11-08T18:38:19Squeeky_SquirrelP4_2600195000546000012---0.059--3.527%
2017-01-10T17:24:07Jocelyn Larouchelow 4M132000132000---0.016--1.005%
2018-07-15T19:00:20Jocelyn Larouchelow 4M78400023520006---0.107--3.354%
2018-07-16T23:48:55Jocelyn Larouchelow 4M78400031360004---0.113--3.630%
2019-02-15T00:55:44mikrMSI300000010000000012---1.022--8.058%
2021-01-18T13:43:06Jocelyn LaroucheManual testing81400031397236---0.116--3.640%
2022-01-06T11:33:53Jocelyn LaroucheManual testing1000000116447100---0.900--7.460%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T12:36:00S485122USB-Z260261--0.049--
2011-11-11T16:48:00Grant McCrackenthumper261262--0.098--
2013-01-03T08:44:00dbaughManual testing262263--0.313--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.625--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.190--
2015-06-14T13:51:00ThaManual testing265266--2.380--
2021-01-16T21:12:25Jocelyn LaroucheManual testing265266--2.380--
2021-02-18T11:47:34Jocelyn LaroucheManual testing266267--4.760--
2017-04-17T17:51:59Gordon SpenceManual testing266267--4.760--
2019-01-07T14:44:22TJAOIManual testing267268--9.52--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.044 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:3.044 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09391.162%
302500000.00699.418%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.575
50000500000040.468


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24T00:00:00ANONYMOUSv4_computers8A217797054D833A0.267
2000-02-09T00:00:00ANONYMOUSv4_computers8A217797054D833A0.267


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-26T00:53:39fre_gamesgpu
1117689947597732016787649
6AC4DE793CB12290no
2020-12-26T20:59:04marssystemssystem11
1117689947597732016787649
6AC4DE793CB12290no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 814000, B2 = 3139723 (P-1 stage 2)
B1 = 784000, B2 = 3136000 (P-1 stage 2)
B1 = 784000, B2 = 2352000 (P-1 stage 2)
B1 = 814000 (P-1 stage 1)
B1 = 784000 (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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-01-06T11:33:53+00:00