is 2 3355553 - 1
has 1010123 decimal digits
takes 0.352 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB34DB115A3D44257double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.763167.6471%40000001500000001.82068.8003%19.583670.4942%2.8471%
PrimeNet2600.045863.3333%140002800000.00432.8405%0.050164.3749%1.0415%
GPU722641.060765.6250%180003000000.00511.7559%1.065866.2286%0.6036%
Difference+4+16.7023+2.0221%+3982000+149700000+1.8155+7.0443%+18.5178+4.2656%+4.2656%

Known prime factors (1 factor, 85.5 bits, 0.00254915% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3355553561697276255192630515606012685.5388369667775403825100
22 × 3 × 52 × 7 × 3769 × 57697 × 18327767
2020-10-2057697183277673,608,8750.16040.2840

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-05T22:20:00Carsten Kossendeydurandal15000206250---0.004--0.809%
2011-10-12T08:16:00harleeP4_260055000907500---0.015--1.829%
2014-05-19T21:01:00Jocelyn LaroucheManual testing7412874128---0.011--0.725%
2014-09-23T20:52:00Jocelyn LaroucheManual testing9325693256---0.014--0.834%
2015-07-31T12:12:00Jocelyn LaroucheManual testing397801397801---0.061--1.759%
2015-10-07T06:14:16Jocelyn LaroucheManual testing453516453516---0.069--1.863%
2015-12-06T13:29:48Jocelyn LaroucheManual testing498867498867---0.076--1.941%
2016-03-22T11:04:05Jocelyn LaroucheManual testing598640598640---0.091--2.096%
2016-05-09T03:00:01mognutsStanley20000210000---0.005--0.900%
2016-06-20T03:43:47Jocelyn LaroucheManual testing5986401197280---0.096--2.713%
2016-06-21T03:40:59Jocelyn LaroucheManual testing59864023945606---0.106--3.341%
2016-07-19T03:28:30Jocelyn LaroucheManual testing59864047891206---0.126--3.979%
2020-10-20T07:41:15mikrMSI4000000150000000122685.5381.8210.7053.6418.800%
2022-03-16T19:11:55Jocelyn LaroucheManual testing1000000134343300-
skipped known factor: 56169727625519263051560601
--1.259--7.669%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-28T08:09:00S485122USB-A260261--0.046--
2011-08-17T20:48:00markrManual testing21262--0.183--
2012-11-15T00:21:00GrunwalderGIMPManual testing21263--0.476--
2016-02-23T16:29:26Mark RoseManual testing262263--0.293--
2015-02-11T09:07:00VictordeHollanderManual testing263264--0.585--
2015-02-11T09:07:00VictordeHollanderManual testing264265--1.113--
2016-03-04T01:08:28ramgeisManual testing265266--2.227--
2017-03-05T04:56:33Gordon SpenceManual testing266267--4.454--
2018-12-17T13:21:52TJAOIManual testing267268--8.908--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.193 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.193 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.193


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-15T00:00:00MikeBv4_computersB34DB115A3D442570.352


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-22T21:56:19fre_gamesgpu
56169727625519263051560601
58EF390266A369__no
2020-10-23T18:02:41kutenshadar
56169727625519263051560601
58EF390266A3695Dno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 598640, B2 = 4789120 (P-1 stage 2)
B1 = 598640, B2 = 2394560 (P-1 stage 2)
B1 = 598640, B2 = 1197280 (P-1 stage 2)
B1 = 598640 (P-1 stage 1)
B1 = 498867 (P-1 stage 1)
B1 = 453516 (P-1 stage 1)
B1 = 397801 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 93256 (P-1 stage 1)
B1 = 74128 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 20000, B2 = 210000 (P-1 stage 2)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
103
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106
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103
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-03-16T19:11:55+00:00