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
0 primality tests remaining
ResidueStatus
L-L83B76D896C3EF45Adouble-checked
PRP1D412BDF6538FB09PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272272.032869.4444%3515509355697160030.01919.6117%302.051972.3814%2.9369%
PrimeNet2600.043763.3333%150003000000.00462.9627%0.048364.4197%1.0863%
GPU722641.012565.6250%200003600000.00591.9170%1.018366.2840%0.6590%
Difference+8+271.0203+3.8194%+3495509+3556611600+30.0132+7.6948%+301.0335+6.0974%+2.2780%

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:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:46:00Carsten Kossendeyleela20000240000---0.005--0.511%
2011-11-15T19:31:00markrtiny2350005933750---0.083--2.431%
2021-11-10T14:15:27mikrMSI4000000400000038123.1780.6090.7381.2182.800%
2022-04-07T17:35:16Jocelyn LaroucheManual testing1000000145126800-
skipped known factor: 12034046975362303055880361225937363239
--1.348--5.487%
2022-07-16T21:55:09Jocelyn LaroucheManual testing35155093556971600-
skipped known factor: 12034046975362303055880361225937363239
--30.02--9.612%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-29T17:35:20ArtyomPaxioo50000250000027--0.032
2021-08-29T17:53:54ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:32Mark RoseManual testing21260--0.044--
2009-03-18T07:28:00Jayson Kingatlas260261--0.044--
2011-07-06T14:37:00markroldgamer261262--0.087--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.454--
2016-02-23T16:29:32Mark RoseManual testing262263--0.279--
2015-01-27T16:51:00VictordeHollanderManual testing263264--0.558--
2015-01-27T16:52:00VictordeHollanderManual testing264265--1.063--
2016-03-02T17:28:33YxinityManual testing265266--2.126--
2017-01-10T19:01:20Gordon SpenceManual testing266267--4.251--
2018-12-03T19:08:38TJAOIManual testing267268--8.503--
2021-01-17T06:37:20axnManual testing268269--17.01--
2021-03-18T21:01:36-Anonymous-Manual testing269270--34.01--
2021-03-18T21:01:36-Anonymous-Manual testing270271--68.02--
2021-03-20T11:12:02-Anonymous-Manual testing271272--136.0--


ECM factoring results:
Total ECM effort:6.344 GHz-days
Estimated T-Level:20.765
DigitsB1CompleteFacMiss
20110001.65419.131%
25500000.15385.811%
302500000.01099.039%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.344


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers83B76D896C3EF45A0.369


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-16T08:15:43LaurVbutu
12034046975362303055880361225937363239
1D412BDF6538FB09no
2021-11-17T02:21:09LordJuliusWhiteBox
12034046975362303055880361225937363239
1D412BDF6538FB09no


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)
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TF factor-bounds graph:
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Last modified: 2022-07-16T21:55:09+00:00