is 2 3524903 - 1
has 1061102 decimal digits
takes 0.370 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP5702E6CB0ACA5DFBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272271.307869.4444%40000003240000003.26437.2117%274.572171.6480%2.2036%
PrimeNet2600.043663.3333%150003000000.00462.9641%0.048264.4202%1.0869%
GPU722641.009865.6250%200003600000.00591.9179%1.015666.2843%0.6593%
Difference+8+270.2980+3.8194%+3980000+323640000+3.2584+5.2938%+273.5564+5.3638%+5.3638%

Known prime factors (1 factor, 102.9 bits, 0.00291834% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3524903925932923463175945477038526441731102.8691313416175513448094141936
24 × 19 × 211 × 173651 × 946859 × 124532791
2022-01-139468591245327914.263e+101.16961.9299

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:56:00Carsten Kossendeyleela20000245000---0.005--0.514%
2011-11-21T02:02:00harleeP4_260060000990000---0.017--1.137%
2014-08-07T10:52:00Jocelyn LaroucheManual testing7820978209---0.012--0.417%
2014-11-10T23:29:00Jocelyn LaroucheManual testing9641896418---0.015--0.480%
2015-10-21T03:03:34Squeeky_SquirrelP4_260017000045900006---0.063--2.154%
2017-04-27T04:16:43Jocelyn Larouchelow 4M34000034000006---0.077--2.266%
2021-01-08T23:20:54Dylan DelgadoManual testing16000005000000012---0.645--4.880%
2022-01-13T03:17:46mikrMSI400000032400000031102.8693.2640.7406.5297.212%
2022-02-25T17:22:20Jocelyn LaroucheManual testing200000200000---0.030--0.751%
2022-04-30T16:38:16Jocelyn LaroucheManual testing500000145208700---1.277--4.951%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-14T12:17:37ArtyomPaxioo50000250000027--0.032
2021-09-14T12:37:10ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:32Mark RoseManual testing21260--0.044--
2009-03-18T05:52:00S485122USB-A260261--0.044--
2011-07-02T00:58:00Grant McCrackenthumper261262--0.087--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.453--
2016-02-23T16:29:32Mark RoseManual testing262263--0.278--
2015-01-27T16:52:00VictordeHollanderManual testing263264--0.557--
2015-01-27T16:52:00VictordeHollanderManual testing264265--1.060--
2016-03-03T23:02:53ramgeisManual testing265266--2.120--
2017-01-10T19:01:23Gordon SpenceManual testing266267--4.240--
2018-11-26T14:19:29TJAOIManual testing267268--8.480--
2021-01-19T04:11:55axnManual testing268269--16.96--
2021-03-18T17:15:05-Anonymous-Manual testing269270--33.92--
2021-03-18T17:15:06-Anonymous-Manual testing270271--67.84--
2021-03-19T23:55:48-Anonymous-Manual testing271272--135.7--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.677 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:6.677 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.41824.214%
25500000.12987.910%
302500000.00899.208%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.281
500006750000142.396


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers2198D7CE02096D__0.370


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-19T01:17:04kutensterra
9259329234631759454770385264417
5702E6CB0ACA5DFBno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 324000000 (P-1 stage 2)
B1 = 500000, B2 = 145208700 (P-1 stage 2)
B1 = 1600000, B2 = 50000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1600000 (P-1 stage 1)
B1 = 340000, B2 = 3400000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 170000, B2 = 4590000 (P-1 stage 2)
B1 = 340000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 170000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 96418 (P-1 stage 1)
B1 = 78209 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-30T16:38:16+00:00