is 2 3632719 - 1
has 1093558 decimal digits
takes 0.382 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA45DA13C6BF67916double-checked
PRPD3B3913DE8A3FC60verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26932.864368.1159%30000000100000000012.617011.8568%45.481371.8964%3.7804%
PrimeNet2600.042363.3333%160003200000.00503.0739%0.047264.4604%1.1271%
GPU722640.979865.6250%220004000000.00652.0345%0.986366.3244%0.6994%
Difference+5+31.8845+2.4909%+29978000+999600000+12.6105+9.8223%+44.4950+5.5720%+5.5720%

Known prime factors (1 factor, 72.1 bits, 0.00198375% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
363271949363371031344396291772272.064679427324702852
22 × 11 × 15441530106883
2021-07-011115441530106883295.86128,121239,295

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:13:00Carsten Kossendeyleela20000245000---0.005--0.825%
2012-01-21T06:48:00Squeeky_SquirrelP4_2600900001620000---0.026--2.114%
2016-05-17T10:10:44Squeeky_SquirrelP4_2600230000667000012---0.088--3.460%
2020-03-02T22:51:49BigBrotherWinston30000009000000012---1.179--7.412%
2020-07-13T17:17:34axnManual testing3000000060000000012---9.298--11.088%
2020-08-15T08:46:43axnManual testing30000000100000000012---12.62--11.857%
2022-03-04T04:19:14Jocelyn LaroucheManual testing9000090000---0.014--0.717%
2022-03-22T11:09:04Jocelyn LaroucheManual testing100000100000---0.015--0.765%
2022-05-25T14:13:49Jocelyn LaroucheManual testing100000130364850---1.096--4.854%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:35Mark RoseManual testing21260--0.042--
2009-03-11T16:50:00S485122USB-Z260261--0.042--
2011-05-23T09:19:00markroldgamer261262--0.085--
2012-06-20T01:22:00GrunwalderGIMPManual testing21263--0.439--
2016-02-23T16:29:35Mark RoseManual testing262263--0.270--
2015-01-22T10:40:00VictordeHollanderManual testing263264--0.540--
2015-01-22T10:40:00VictordeHollanderManual testing264265--1.029--
2015-10-18T15:17:08ramgeisManual testing265266--2.057--
2016-12-26T04:42:21Gordon SpenceManual testing266267--4.114--
2018-09-10T13:18:20TJAOIManual testing267268--8.228--
2020-11-05T06:17:23axnManual testing268269--16.46--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.089 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:3.089 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.78545.600%
25500000.07392.996%
302500000.00599.542%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.227
50000675000050.862


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersA45DA13C6BF679160.382
2000-02-09T00:00:00ANONYMOUSv4_computersA45DA13C6BF679160.382


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-02T04:37:09tottenhoff2018pc
4936337103134439629177
D3B3913DE8A3FC60no


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 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 230000, B2 = 6670000 (P-1 stage 2)
B1 = 230000 (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: 2022-05-25T14:13:49+00:00