is 2 2573057 - 1
has 774568 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEFAAD39C4D519343double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.165067.6471%32000001120000000.91808.0800%24.083070.2612%2.6141%
PrimeNet2590.029862.7119%110002000000.00212.6897%0.032063.7148%1.0029%
GPU722630.620365.0794%120001900000.00221.5045%0.622565.6047%0.5254%
Difference+5+22.5447+2.5677%+3188000+111810000+0.9158+6.5755%+23.4606+4.6564%+4.6564%

Known prime factors (1 factor, 80.1 bits, 0.00311413% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
257305713213489970327022467628232580.128256766367210812323
331183 × 775300565581
2021-03-08331183775300565581103,4674,248.37,934.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000202500---0.003--0.762%
2010-12-21T11:03:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-10T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.532%
2011-04-18T08:11:00James HeinrichWHS1750004112500---0.039--3.174%
2016-06-22T08:05:30mikrMSI320000011200000012---0.918--8.080%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-31T15:12:00Sturle Sundeginy.ifi260261--0.060--
2012-06-19T07:43:00Sebastian HornbostelManual testing261262--0.119--
2013-01-23T08:30:00dbaughManual testing262263--0.382--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.763--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.452--
2015-12-02T09:49:55ramgeisManual testing265266--2.904--
2017-08-20T12:59:32Gordon SpenceManual testing266267--5.808--
2019-09-03T13:43:04YxinityManual testing267268--11.62--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.233 GHz-days
Estimated T-Level:21.786
DigitsB1CurvesCompleteFacMiss
2011000100 / 1001.00036.603%
2550000100 / 2800.35769.923%

New Calculation Method

Total ECM effort:9.233 GHz-days
Estimated T-Level:21.786
DigitsB1CompleteFacMiss
20110003.2263.972%
25500000.29274.711%
302500000.01898.221%


ECM Summary

B1B2factorcurvesGHz-days
500005000000999.141
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersEFAAD39C4D5193430.178
2018-06-17T06:23:57kkmrkkblmbrbkoldEFAAD39C4D5193430.178


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-09T11:26:01_p95holder_TFL16_PRPt11-E_b
1321348997032702246762823
1861A55FA276E1F2no
2021-03-09T16:39:00mrhlanai
1321348997032702246762823
1861A55FA276E1F2no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 202500 (P-1 stage 2)
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
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2021-03-09T16:39:00+00:00