is 2 2956741 - 1
has 890068 decimal digits
takes 0.252 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L2F6B4D6626329ABFdouble-checked
PRP3886035DA6046D__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.159067.6471%1000000200000000.25125.5452%20.410169.4411%1.7940%
PrimeNet2600.051963.3333%120002200000.00292.5084%0.054864.2531%0.9197%
GPU722641.203865.6250%120002000000.00271.3473%1.206566.0881%0.4631%
Difference+4+18.9552+2.0221%+988000+19800000+0.2484+4.1979%+19.2036+3.3530%+3.3530%

Known prime factors (1 factor, 75.5 bits, 0.00255244% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2956741522913391964657298911592375.4698842732453817519
179 × 49400739965461
2020-12-23179494007399654612,990.7332,160620,382

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-11-01T13:21:00markrtiny950001995000---0.024--2.457%
2015-05-02T08:23:00VictordeHollanderManual testing100000020000000---0.251--5.545%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-15T00:00:00ANONYMOUSv4_computers21259--0.026--
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-13T20:17:00Sturle Sundegraun.ifi260261--0.052--
2011-12-12T10:50:00markroldgamer261262--0.104--
2013-01-07T13:49:00dbaughManual testing262263--0.332--
2015-04-29T14:58:00VictordeHollanderManual testing263264--0.664--
2015-04-29T14:58:00VictordeHollanderManual testing264265--1.264--
2016-02-26T10:03:33ramgeisManual testing265266--2.527--
2017-11-28T10:01:37Gordon SpenceManual testing266267--5.055--
2018-12-24T00:53:34chuenkitManual testing267268--10.11--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.981 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:4.981 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.65419.131%
25500000.15385.811%
302500000.01099.039%


ECM Summary

B1B2factorcurvesGHz-days
500005000000394.518
50000500000040.463


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22T00:00:00ANONYMOUSv4_computers2F6B4D6626329ABF0.252
2018-10-13T19:31:20kkmrkkblmbrbkold2F6B4D6626329ABF0.252


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-23T22:20:54Maciej KmieciakAsrock
52291339196465729891159
3886035DA6046D__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 95000, B2 = 1995000 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-12-23T22:20:54+00:00