is 2 2054369 - 1
has 618427 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5B351FE90A5F00B3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.463868.6567%27000048600000.04963.7931%14.513469.8456%1.1889%
PrimeNet2580.018763.7931%90001600000.00162.6667%0.020364.7586%0.9655%
GPU722620.299166.1290%90001200000.00141.3309%0.300566.5798%0.4508%
Difference+5+14.1647+2.5277%+261000+4740000+0.0481+2.4622%+14.2129+3.2658%+3.2658%

Known prime factors (1 factor, 77.8 bits, 0.00378851% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20543692686448003054361432007612477.83065383774848977020
22 × 5 × 23 × 9059 × 15690323543
2016-05-0590591569032354319,28581.500152.22

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.275%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.058%
2009-05-24T19:20:00Rob_Deetwopc20000280000---0.003--1.039%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.413%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.593%
2011-01-21T07:27:00James Heinrichi7-9201350002902500---0.027--3.044%
2014-10-26T00:59:00Jocelyn LaroucheManual testing166243166243---0.016--1.209%
2016-05-15T21:00:26Jocelyn LaroucheManual testing27000048600006---0.050--3.793%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:04Mark RoseManual testing21260--0.075--
2009-01-02T09:24:00Sturle Sundegorky.ifi260261--0.075--
2012-03-11T11:47:00Sebastian HornbostelManual testing261262--0.150--
2013-09-01T20:20:00ramgeisManual testing262263--0.478--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.956--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.819--
2015-11-03T10:10:00ramgeisManual testing265266--3.637--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.726 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.726 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.02435.909%
25500000.09291.199%
302500000.00699.433%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.782
50000500000030.255
50000696944070.689


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers5B351FE90A5F00B30.135
1999-03-15T00:00:00ANONYMOUSv4_computers5B351FE90A5F00B30.135


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T09:15:25Oliver KruseGTX-1
268644800305436143200761
4E17C9C50E8E22__no
2017-11-15T12:04:04ATHec2-1xf
268644800305436143200761
4E17C9C50E8E22__no


P-1 factor-bounds graph:
B1 = 270000, B2 = 4860000 (P-1 stage 2)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 166243 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 280000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
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109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-05-14T12:15:22+00:00