is 2 3492877 - 1
has 1051461 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-L42DB371E8E301092double-checked
PRP59645AC0A4276690verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.180168.1159%140000007000000007.823910.9230%42.004071.5987%3.4827%
PrimeNet2600.044063.3333%150003000000.00462.9594%0.048664.4184%1.0851%
GPU722641.019065.6250%190003600000.00571.8881%1.024766.2740%0.6490%
Difference+5+33.1610+2.4909%+13981000+699640000+7.8182+9.0350%+40.9793+5.3246%+5.3246%

Known prime factors (1 factor, 72.9 bits, 0.00208803% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
349287790109311061556259907932272.9321289901005124948
22 × 33 × 11943527825231
2021-07-252711943527825231450.9199,098185,087

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T05:53:00Carsten Kossendeyleela20000240000---0.005--0.813%
2011-11-17T09:25:00harleeP4_260060000990000---0.017--1.690%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7837678376---0.012--0.653%
2014-09-05T16:48:00HBendtzManual testing61500012000000---0.188--4.432%
2021-04-18T01:32:33axnManual testing14000000700000000---7.824--10.923%
2022-04-10T23:56:44Jocelyn LaroucheManual testing1000000126668850---1.195--7.004%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-19T18:09:00S485122USB-Z260261--0.044--
2011-07-17T23:42:00markrManual 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--1.070--
2016-01-06T22:34:28ramgeisManual testing265266--2.139--
2017-02-20T16:19:38Gordon SpenceManual testing266267--4.279--
2018-08-13T14:25:19TJAOIManual testing267268--8.558--
2021-01-13T02:01:21axnManual testing268269--17.12--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.326 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:5.326 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.15331.562%
25500000.10490.142%
302500000.00699.362%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.242
50000500000060.884
50000680000071.200


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-24T00:00:00ANONYMOUSv4_computers42DB371E8E3010920.367
1999-07-12T00:00:00ADBjesterv4_computers42DB371E8E3010920.367


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-02T18:41:52-Anonymous-MTY3
9010931106155625990793
59645AC0A4276690no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (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 = 78376 (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: 2022-04-10T23:56:44+00:00