is 2 3628249 - 1
has 1092212 decimal digits
takes 0.381 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-
PRP314C683EC17DAED9verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26932.904868.1159%30000000100000000012.617011.8556%45.521871.8960%3.7801%
PrimeNet2600.042363.3333%160003200000.00503.0732%0.047364.4602%1.1268%
GPU722640.981065.6250%220004000000.00652.0340%0.987566.3242%0.6992%
Difference+5+31.9238+2.4909%+29978000+999600000+12.6105+9.8216%+44.5343+5.5718%+5.5718%

Known prime factors (1 factor, 71.2 bits, 0.00196153% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
362824926553069721855280613192271.169365921271140091
3 × 31 × 3934637324087
2021-08-15313934637324087133.2232,64660,974

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:07:00Carsten Kossendeyleela20000245000---0.005--0.825%
2012-01-19T06:55:00Squeeky_SquirrelP4_2600900001620000---0.026--2.113%
2015-11-06T09:32:21Squeeky_SquirrelP4_260017500047687506---0.065--3.080%
2017-05-31T03:36:29Jocelyn Larouchelow 4M35000035000006---0.079--3.180%
2020-07-01T01:33:09axnManual testing3000000060000000012---9.298--11.087%
2020-08-13T01:35:53axnManual testing30000000100000000012---12.62--11.856%
2022-03-04T04:19:15Jocelyn LaroucheManual testing9000090000---0.014--0.717%
2022-03-22T11:09:06Jocelyn LaroucheManual testing100000100000---0.015--0.764%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-11T16:50:00S485122USB-Z260261--0.042--
2011-05-24T11:45:00markrManual testing21262--0.169--
2012-06-05T02:29:00GrunwalderGIMPManual testing21263--0.440--
2016-02-23T16:29:35Mark RoseManual testing262263--0.271--
2015-01-22T10:40:00VictordeHollanderManual testing263264--0.541--
2015-01-22T10:40:00VictordeHollanderManual testing264265--1.030--
2015-10-18T15:17:07ramgeisManual testing265266--2.060--
2016-12-26T04:42:20Gordon SpenceManual testing266267--4.119--
2018-10-01T11:53:14TJAOIManual testing267268--8.238--
2020-10-22T18:14:14axnManual testing268269--16.48--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.712 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:3.712 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.80644.644%
25500000.07392.971%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.266
50000500000030.445


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-17T00:00:00ANONYMOUSv4_computers13FAAAB9564C00__0.381


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-15T10:44:15GURA LOVE
2655306972185528061319
314C683EC17DAED9no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 1000000000 (P-1 stage 2)
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 350000, B2 = 3500000 (P-1 stage 2)
B1 = 175000, B2 = 4768750 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 175000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-22T11:09:06+00:00