is 2 3508699 - 1
has 1056224 decimal digits
takes 0.369 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-
PRP327BFB1F12387614verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272272.560869.4444%10000001146568501.09535.2908%273.656171.0611%1.6166%
PrimeNet2600.043863.3333%150003000000.00462.9617%0.048464.4193%1.0860%
GPU722641.014465.6250%200003600000.00591.9163%1.020366.2837%0.6587%
Difference+8+271.5463+3.8194%+980000+114296850+1.0895+3.3746%+272.6358+4.7774%+4.7774%

Known prime factors (1 factor, 73.0 bits, 0.00208020% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
350869993650904747273697680312272.9881334553131335485
3 × 5 × 257 × 20749 × 16684543
2021-07-022074916684543512.420.14140.2586

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:48:00Carsten Kossendeyleela20000240000---0.005--0.510%
2011-11-09T16:12:00markrtiny2350005875000---0.083--2.425%
2022-01-18T16:28:55Jocelyn LaroucheManual testing1000000114656850-
skipped known factor: 9365090474727369768031
--1.095--5.291%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21260--0.044--
2009-02-25T17:24:00Jayson Kingatlas260261--0.044--
2011-07-17T20:49:00Grant McCrackenthumper261262--0.088--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.455--
2016-02-23T16:29:31Mark RoseManual testing262263--0.280--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.560--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.065--
2016-02-16T14:28:23YxinityManual testing265266--2.130--
2017-01-07T17:26:13Gordon SpenceManual testing266267--4.260--
2018-12-10T15:07:48TJAOIManual testing267268--8.519--
2021-01-16T02:14:38axnManual testing268269--17.04--
2021-03-17T23:55:35-Anonymous-Manual testing269270--34.08--
2021-03-17T23:55:36-Anonymous-Manual testing270271--68.15--
2021-03-18T23:55:09-Anonymous-Manual testing271272--136.3--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.010 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:4.010 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.87841.541%
25500000.07992.419%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.212
50000500000050.737
50000530000071.061


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22T00:00:00ANONYMOUSv4_computers52C4857BB0C0A4__0.369


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-04T03:08:15kutenssol
9365090474727369768031
327BFB1F12387614no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5875000 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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109
TF factor-bounds graph:
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Last modified: 2022-01-18T16:28:55+00:00