is 2 3515509 - 1
has 1058274 decimal digits
takes 0.369 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L83B76D896C3EF45Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272272.032869.4444 %3515509355697160030.01919.6117 %302.051972.3814 %
Target2641.012565.6250 %2000018000000.01781.9170 %1.030366.2840 %
Difference+8+271.0203+3.8194 %+3495509+3555171600+30.0013+7.6948%+301.0216+6.0974 %

Known prime factors (1 factor, 123.2 bits, 0.00350386% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35155091203404697536230305588036122593736323938123.1781711565377213129458050080546791
3 × 71 × 46867 × 115331 × 638437 × 978599 × 2379457
2021-11-1097859923794574.621e+100.16070.3033

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-06Carsten Kossendeymother20000240000--0.0051.710%
2011-11-15markrtiny235000593375012--0.0835.660%
2021-11-10mikrMSI40000004000000138123.1780.6095.971%
2022-04-08JossManual testing1000000145126800
skipped known factor: 12034046975362303055880361225937363239
--1.41110.830%
2022-07-17JossManual testing35155093556971600
skipped known factor: 12034046975362303055880361225937363239
--35.6516.674%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-29ArtyomPaxioo50000250000027--0.031
2021-08-29ArtyomPaxioo50000250000065--0.031


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.044
2009-03-18Jayson Kingatlas2602610.044
2011-07-06markroldgamer2612620.087
2012-06-20GrunwalderGIMPManual testing212630.454
2016-02-23Mark RoseManual testing2622630.279
2015-01-27VictordeHollanderManual testing2632651.621
2016-03-02YxinityManual testing2652662.126
2017-01-10Gordon SpenceManual testing2662674.251
2018-12-03TJAOIManual testing2672688.503
2021-01-17axnManual testing26826917.01
2021-03-18ANONYMOUSManual testing269271102.0
2021-03-20ANONYMOUSManual testing271272136.0


ECM factoring results:
Total ECM effort:6.201 GHz-days
Estimated T-Level:20.765
DigitsB1CompleteFacMiss
20110001.65419.131%
25500000.15385.811%
302500000.01099.039%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.201


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12ANONYMOUSv4_computers83B76D896C3EF45A0.369


PRP results:
dateuseridcompidcofactorsres64
2021-11-16LaurVbutu
12034046975362303055880361225937363239
1D412BDF6538FB09
2021-11-17LordJuliusWhitebox
12034046975362303055880361225937363239
1D412BDF6538FB09


CERT results:
dateuseridcompid
2021-11-16Anson HonAnson_WSP_main
2021-11-17tottenhoffRyzen_3900x-001


P-1 factor-bounds graph:
B1 = 3515509, B2 = 3556971600 (P-1 stage 2)
B1 = 1000000, B2 = 145126800 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3515509 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5933750 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
269
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.77 ~= 52-bit
250
260
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2100
2110
2120
2130
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Last modified: 2024-03-13T02:15:48+00:00