is 2 3495253 - 1
has 1052176 decimal digits
takes 0.367 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE0874DCEC1E1604Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.156868.1159%150000007500000008.382811.0586%42.539671.6419%3.5259%
PrimeNet2600.043963.3333%150003000000.00462.9597%0.048664.4186%1.0852%
GPU722641.018365.6250%200003600000.00591.9149%1.024266.2833%0.6583%
Difference+5+33.1385+2.4909%+14980000+749640000+8.3769+9.1436%+41.5154+5.3586%+5.3586%

Known prime factors (1 factor, 69.5 bits, 0.00198718% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34952538102463302782176237112169.457115906678326035
5 × 73 × 317552543359
2021-04-217331755254335957.9612,634.84,921.1

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T05:54:00Carsten Kossendeyleela20000240000---0.005--0.813%
2011-11-18T03:20:00harleeP4_260060000990000---0.017--1.690%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7836378363---0.012--0.653%
2014-09-05T16:48:00HBendtzManual testing61500012000000---0.188--4.432%
2021-04-06T08:01:32axnManual testing15000000750000000---8.383--11.059%
2022-04-10T23:56:45Jocelyn LaroucheManual testing1000000126668850---1.195--7.004%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-13T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-19T18:07:00S485122USB-A260261--0.044--
2011-07-14T20:49:00markrManual testing21262--0.176--
2012-08-18T15:37:00GrunwalderGIMPManual testing21263--0.457--
2016-02-23T16:29:31Mark RoseManual testing262263--0.281--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.562--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.069--
2016-01-06T22:34:28ramgeisManual testing265266--2.138--
2017-02-20T16:19:38Gordon SpenceManual testing266267--4.276--
2018-07-23T16:23:37TJAOIManual testing267268--8.552--
2021-01-13T13:19:18axnManual testing268269--17.10--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.242 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:3.242 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.84642.906%
25500000.07892.469%
302500000.00599.507%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.211
50000500000071.032


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computersE0874DCEC1E1604F0.367


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-21T21:25:43mikrNitron
810246330278217623711
89D8C2778C26EAE8no
2021-04-22T14:29:55XZTN4640G2
810246330278217623711
89D8C2778C26EAE8no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 615000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 615000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78363 (P-1 stage 1)
B1 = 60000 (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: 2022-04-10T23:56:45+00:00