is 2 3714259 - 1
has 1118104 decimal digits
takes 0.390 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFA742636264C6C92double-checked
PRP6BDBBB0BC3560E55verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.333368.5714%140000007000000007.823910.2456%72.157371.7915%3.2201%
PrimeNet2600.041463.3333%160003200000.00503.0857%0.046364.4648%1.1314%
GPU722640.958365.6250%220004500000.00692.1071%0.965266.3493%0.7243%
Difference+6+63.3750+2.9464%+13978000+699550000+7.8170+8.1386%+71.1921+5.4422%+5.4422%

Known prime factors (1 factor, 76.1 bits, 0.00204753% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3714259782600074297269062429832376.05110535076771669249
3 × 31 × 3359 × 33724440427
2021-10-023359337244404276,001.3279.82522.62

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:49:00Carsten Kossendeyleela20000265000---0.005--0.729%
2012-12-10T21:35:00Squeeky_SquirrelT7500_22002450007717500---0.099--3.247%
2021-05-16T13:22:40axnManual testing14000000700000000---7.824--10.246%
2022-03-04T04:17:58Jocelyn LaroucheManual testing9000090000---0.014--0.623%
2022-03-22T11:10:08Jocelyn LaroucheManual testing100000100000---0.015--0.665%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-07T21:04:42riccardo ubertiColab_noGPU1425000005000000027--0.965
2021-10-08T02:21:21riccardo ubertiColab_noGPU1425000005000000065--0.965


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-07T07:42:00S485122USB-A260261--0.041--
2011-04-19T21:26:00Grant McCrackenthumper261262--0.083--
2012-04-19T23:28:00GrunwalderGIMPManual testing21263--0.430--
2016-02-23T16:29:37Mark RoseManual testing262263--0.264--
2015-01-22T10:39:00VictordeHollanderManual testing263264--0.529--
2015-01-22T10:39:00VictordeHollanderManual testing264265--1.006--
2016-02-23T16:35:12ramgeisManual testing265266--2.012--
2016-10-31T13:33:10Gordon SpenceManual testing266267--4.024--
2019-01-28T14:25:38TJAOIManual testing267268--8.048--
2020-12-14T08:23:38axnManual testing268269--16.10--
2021-03-07T09:38:32axnManual testing269270--32.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.431 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:3.431 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.74247.619%
25500000.06793.514%
302500000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.834
50000500000040.597


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-13T00:00:00ANONYMOUSv4_computersFA742636264C6C920.390
1999-11-04T00:00:00ANONYMOUSv4_computersFA742636264C6C920.390
2001-01-21T00:00:00ANONYMOUSv4_computersFA742636264C6C920.390
2002-12-09T00:00:00ANONYMOUSv4_computersFA742636264C6C920.390


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-07T12:31:10riccardo ubertiNomad2C
78260007429726906242983
6BDBBB0BC3560E55no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 245000, B2 = 7717500 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
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102
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1010
1011
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-03-22T11:10:08+00:00