is 2 2503327 - 1
has 753577 decimal digits
takes 0.174 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF4EC5E6E04590272double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.810367.6471%30000001350000001.02508.2498%24.835370.3161%2.6691%
PrimeNet2590.030762.7119%100001800000.00192.5385%0.032663.6584%0.9466%
GPU722630.637665.0794%110001700000.00201.4078%0.639565.5710%0.4916%
Difference+5+23.1727+2.5677%+2989000+134830000+1.0230+6.8420%+24.1957+4.7451%+4.7451%

Known prime factors (1 factor, 88.9 bits, 0.00355023% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25033275671958683355405254484335512788.874113288409451809636825
3 × 52 × 11 × 109 × 970297 × 1298375597
2020-07-23970297129837559725,935,3527.206813.288

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.235%
2003-10-31T00:00:00Team Prime Ribv4_computers15000236250---0.003--0.795%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.264%
2011-01-01T00:57:00Jocelyn LaroucheManual testing3000030000---0.003--0.365%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.529%
2011-03-01T18:41:00James Heinrichi7-9203000008000000---0.072--3.951%
2017-11-01T21:31:21Jocelyn Larouchelow 4M60000060000006---0.090--4.040%
2018-04-06T12:57:18mikrMSI300000013500000012---1.025--8.250%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-30T00:25:00Sturle Sundeginjtje.ifi260261--0.061--
2012-06-12T09:42:00Sebastian HornbostelManual testing261262--0.123--
2013-01-23T08:30:00dbaughManual testing262263--0.392--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.784--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.493--
2015-11-04T09:56:24ramgeisManual testing265266--2.985--
2017-07-29T10:09:20Gordon SpenceManual testing266267--5.970--
2019-05-20T13:24:26TJAOIManual testing267268--11.94--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.241 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:5.241 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110001.83915.902%
25500000.16684.689%
302500000.01098.982%


ECM Summary

B1B2factorcurvesGHz-days
500005000000544.965
50000500000030.276


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersF4EC5E6E045902720.174
2018-06-02T22:35:55kkmrkkblmbrbkoldF4EC5E6E045902720.174


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-23T12:09:20CrypticCluecruncher
567195868335540525448433551
F0DA5E31C29CCFA9no
2020-07-24T11:22:26marssystemssystem11
567195868335540525448433551
F0DA5E31C29CCFA9no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 236250 (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
TF factor-bounds graph:
268
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266
265
264
263
262
261
260
259
250
260
270
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290
2100
Last modified: 2020-07-24T11:22:26+00:00