is 2 2576257 - 1
has 775531 decimal digits
takes 0.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L01389699C294C787double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.533867.1642%32000001120000000.91808.7525%12.451870.0381%2.8739%
PrimeNet2590.029862.7119%110002000000.00212.6903%0.032063.7150%1.0032%
GPU722630.619565.0794%120001900000.00221.5049%0.621765.6049%0.5255%
Difference+4+10.9142+2.0848%+3188000+111810000+0.9158+7.2476%+11.8301+4.4333%+4.4333%

Known prime factors (2 factors, 178.2 bits, 0.00691719% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25762571779708130310174884632167.27034540578255783
3 × 19 × 673 × 900408703
2022-02-2267390040870320.5824.93399.2150
2576257248064915181291324095922978743993734110.934481444427285964335266091424
25 × 32 × 7 × 23 × 43 × 1303 × 48221 × 478901 × 8024777
2016-07-0347890180247776.614e+100.08950.0980

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
257625744148314639284809983908679711037562554406518820294
6831
54178.205
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000202500---0.003--0.891%
2010-12-21T11:04:00Jocelyn LaroucheManual testing2000020000---0.002--0.316%
2011-01-11T22:55:00Jocelyn LaroucheManual testing5000050000---0.005--0.621%
2011-10-08T00:45:00markrtiny1750004112500---0.039--3.542%
2016-07-03T10:32:34mikrMSI32000001120000001234110.9340.9180.3571.8368.752%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00Dry Creek Photov4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-02-01T12:15:00Sturle Sundehaydn.ifi260261--0.060--
2012-06-19T16:42:00Sebastian HornbostelManual testing261262--0.119--
2013-01-14T11:55:00dbaughManual testing262263--0.381--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.762--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.450--
2015-11-08T21:03:05ramgeisManual testing265266--2.901--
2022-03-11T02:05:02LordJuliusManual testing266267--5.801--
2022-02-22T10:09:41TJAOIManual testing267268*67.270219.0480.36318.39


ECM factoring results:

Old Calculation Method

Total ECM effort:1.662 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.662 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.662


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00Dry Creek Photov4_computers01389699C294C7870.179


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-15T08:01:40Oliver KruseGTX-2
2480649151812913240959229787439937
5101DE402A10E8__no
2017-12-02T00:11:30kkmrkkblmbrbkc4.xlarge
2480649151812913240959229787439937
5101DE402A10E8__no
2022-02-22T21:01:57LordJuliusWhiteBox
177970813031017488463
2480649151812913240959229787439937
5101DE402A10E82Fno


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)
101
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101
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109
TF factor-bounds graph:
268
267
266
265
264
263
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261
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2100
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2120
Last modified: 2022-03-11T02:05:02+00:00