is 2 2944231 - 1
has 886302 decimal digits
takes 0.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L083DEC66D2D3A487double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.244667.6471%1000000200000000.25125.5425%20.495869.4402%1.7932%
PrimeNet2590.026162.7119%130002600000.00333.0726%0.029363.8576%1.1457%
GPU722630.542165.0794%170003000000.00401.9469%0.546165.7592%0.6799%
Difference+5+19.7026+2.5677%+983000+19700000+0.2472+3.5956%+19.9497+3.6810%+3.6810%

Known prime factors (1 factor, 81.6 bits, 0.00277022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
294423135690634747971210190358092581.562606111319865377584
24 × 33 × 5449 × 257484944513
2020-10-135449257484944513225,5261,731.33,233.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.246%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-11-05T15:45:00markrtiny1050002310000---0.028--2.592%
2015-04-30T21:53:00VictordeHollanderManual testing100000020000000---0.251--5.542%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:25Mark RoseManual testing21260--0.052--
2009-02-12T23:43:00Sturle Sundewright.ifi260261--0.052--
2011-12-24T16:47:00markroldgamer261262--0.104--
2013-01-07T13:49:00dbaughManual testing262263--0.333--
2015-04-27T09:54:00VictordeHollanderManual testing263264--0.667--
2015-04-27T09:54:00VictordeHollanderManual testing264265--1.269--
2016-02-24T09:33:38ramgeisManual testing265266--2.538--
2017-11-28T10:01:34Gordon SpenceManual testing266267--5.076--
2018-12-24T00:53:30chuenkitManual testing267268--10.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.010 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:3.010 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110000.83943.227%
25500000.07692.700%
302500000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
500005000000252.894
50000500000010.116


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers083DEC66D2D3A4870.251
2018-10-11T06:51:59kkmrkkblmbrbkold083DEC66D2D3A4870.251


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-17T04:07:58Sébastien BrouckePortable_Seb
3569063474797121019035809
908E2A894669F2__no
2020-10-18T02:09:19kutensvega
3569063474797121019035809
908E2A894669F2E1no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2310000 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-10-18T02:09:19+00:00