is 2 2353577 - 1
has 708498 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA47812A3B18888F1double-checked
PRP8385D4D1280FE6A3verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.325267.6471%60000001800000001.51648.9775%26.841670.5515%2.9045%
PrimeNet2580.016362.0690%110002000000.00213.0495%0.018463.2257%1.1567%
GPU722620.261064.5161%130002200000.00241.8361%0.263465.1676%0.6515%
Difference+6+25.0642+3.1309%+5987000+179780000+1.5140+7.1414%+26.5782+5.3839%+5.3839%

Known prime factors (1 factor, 80.9 bits, 0.00343644% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
235357722239196343164011014602312580.879472455253071473995
5 × 43 × 71 × 5477 × 5650945679
2021-03-1054775650945679139,05830.15956.328

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.260%
2010-12-04T01:51:00Oscar Östlin7501175011---0.007--0.682%
2011-01-22T20:37:00Oscar Östlin900001822500---0.018--2.296%
2013-12-04T00:45:00c10ck3rManual testing50000010000000---0.100--4.382%
2018-02-12T10:53:39Sid & AndyHand_In_The_Box600000018000000012---1.516--8.977%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-15T05:51:00Sturle Sundeeberlin.ifi260261--0.065--
2012-05-29T15:43:00Sebastian HornbostelManual testing261262--0.131--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.417--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.834--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.588--
2015-10-27T09:37:26ramgeisManual testing265266--3.175--
2017-06-11T03:38:02Gordon SpenceManual testing266267--6.350--
2019-05-06T12:23:27TJAOIManual testing267268--12.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.629 GHz-days
Estimated T-Level:22.339
DigitsB1CurvesCompleteFacMiss
2011000131 / 1001.31026.805%
2550000131 / 2800.46862.582%

New Calculation Method

Total ECM effort:11.629 GHz-days
Estimated T-Level:22.339
DigitsB1CompleteFacMiss
20110005.0380.648%
25500000.46662.739%
302500000.02997.102%
3510000000.00199.863%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012611.19
50000500000050.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersA47812A3B18888F10.159
2018-05-10T04:57:05kkmrkkblmbrbkoldA47812A3B18888F10.159


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-10T21:49:15Krieselmartin
2223919634316401101460231
8385D4D1280FE6A3no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
268
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266
265
264
263
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261
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2100
Last modified: 2021-03-10T21:49:15+00:00