is 2 2282041 - 1
has 686963 decimal digits
takes 0.150 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3E9CFE01F74D6B67double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.020867.1642%51888051888000.07374.2096%13.094568.5464%1.3823%
PrimeNet2580.016862.0690%100001900000.00192.9238%0.018763.1780%1.1090%
GPU722620.269264.5161%120002000000.00211.7349%0.271365.1317%0.6156%
Difference+5+12.7515+2.6481%+506880+4988800+0.0716+2.4747%+12.8232+3.4147%+3.4147%

Known prime factors (1 factor, 74.6 bits, 0.00327025% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2282041292033647325231182743212374.6296398518854946760
23 × 5 × 1549 × 103268541881
2016-12-2015491032685418811,705.5536.401,001.9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-05-04T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.283%
2010-11-07T01:16:00Jocelyn LaroucheManual testing1500015000---0.001--0.241%
2010-11-14T20:17:00Jocelyn LaroucheManual testing2000020000---0.002--0.307%
2010-11-24T23:33:00Oscar Östlin7501175011---0.007--0.786%
2011-01-15T11:12:00Oscar Östlin850001742500---0.017--2.521%
2014-06-11T02:09:00Jocelyn LaroucheManual testing113126113126---0.011--1.000%
2014-10-06T21:12:00Jocelyn LaroucheManual testing141252141252---0.013--1.130%
2016-01-23T12:46:40Jocelyn LaroucheManual testing51888051888006---0.074--4.210%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-14T00:04:00Sturle Sundegilia.ifi260261--0.067--
2012-05-09T18:48:00Sebastian HornbostelManual testing261262--0.135--
2013-12-06T02:47:00Jerry HallettManual testing262263--0.430--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.860--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.637--
2015-11-01T21:51:01ramgeisManual testing265266--3.275--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.237 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:2.237 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110000.83943.227%
25500000.07692.700%
302500000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.065
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers3E9CFE01F74D6B670.150


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T05:55:53Oliver KruseGTX-0
29203364732523118274321
14BCFF41D2E097__no
2017-11-22T09:19:32kkmrkkblmbrbkold
29203364732523118274321
14BCFF41D2E097__no


P-1 factor-bounds graph:
B1 = 518880, B2 = 5188800 (P-1 stage 2)
B1 = 518880 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 141252 (P-1 stage 1)
B1 = 113126 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
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
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-11-22T09:19:32+00:00