is 2 1874723 - 1
has 564348 decimal digits
takes 0.102 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LABE2EEBAE26D5468double-checked
PRP6E8D69B974D87520verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26831.794069.1176%18747232062195301.02328.1837%32.817271.6450%2.5273%
PrimeNet2570.010263.1579%90001600000.00143.0305%0.011664.2744%1.1165%
GPU722610.163965.5738%100001500000.00141.6905%0.165266.1557%0.5820%
Difference+7+31.6301+3.5439%+1864723+206069530+1.0219+6.4932%+32.6520+5.4892%+5.4892%

Known prime factors (1 factor, 81.5 bits, 0.00434760% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
187472334324453947829362115767532581.506915454015015267912
23 × 114431751876908489
2020-12-138114431751876908489376,126490,425,881915,978,971

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-11T17:39:00markrtiny2750006000000---0.046--3.538%
2015-10-07T12:38:36Bruno Victal5820K-linux5000001500000012---0.101--4.613%
2016-11-13T17:04:47Jocelyn Larouchelow 4M600000600000---0.047--1.925%
2016-12-21T00:09:32Jocelyn Larouchelow 4M720000720000---0.057--2.077%
2017-01-03T05:50:41Jocelyn Larouchelow 4M864000864000---0.068--2.236%
2017-01-21T06:59:43Jocelyn Larouchelow 4M11568001156800---0.091--2.503%
2017-04-30T01:08:17Jocelyn Larouchelow 4M13881601388160012---0.163--5.041%
2018-01-16T20:51:38Jocelyn Larouchelow 4M18747231388160012---0.199--5.152%
2018-02-05T08:37:46Jocelyn Larouchelow 4M18747232776320012---0.258--5.918%
2018-02-10T10:46:34Jocelyn Larouchelow 4M18747235552640012---0.377--6.694%
2018-02-27T12:51:05Jocelyn Larouchelow 4M187472311105280012---0.615--7.478%
2018-09-27T11:55:17Jocelyn Larouchelow 4M187472318747230012---0.943--8.075%
2018-10-25T15:25:11Jocelyn LaroucheManual testing187472320621953012---1.023--8.184%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:56Mark RoseManual testing258260--0.061--
2010-04-12T14:22:00Architects Cubedm1_f2260261--0.082--
2016-02-23T16:28:56Mark RoseManual testing261262--0.164--
2011-03-08T05:15:00GrunwalderGIMPManual testing21263--0.851--
2016-02-23T16:28:56Mark RoseManual testing262263--0.524--
2015-05-08T22:25:00snme2pm1Manual testing263264--1.047--
2015-05-08T22:25:00snme2pm1Manual testing264265--1.993--
2015-09-12T12:52:00ramgeisManual testing265266--3.986--
2018-02-12T20:05:03TJAOIManual testing266267--7.972--
2019-06-10T09:46:19TJAOIManual testing267268--15.94--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.100 GHz-days
Estimated T-Level:24.464
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000250 / 2800.89340.883%

New Calculation Method

Total ECM effort:18.100 GHz-days
Estimated T-Level:24.464
DigitsB1CompleteFacMiss
20110008.2770.025%
25500000.74947.298%
302500000.04695.486%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
49000490000010.068
50000500000016711.57
50000500000020.139
500006600000816.327


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computersABE2EEBAE26D54680.102
2015-06-27T00:57:00MadPooManual testingABE2EEBAE26D54680.102


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-13T16:26:06mrhlanai
3432445394782936211576753
6E8D69B974D87520no


P-1 factor-bounds graph:
B1 = 1874723, B2 = 206219530 (P-1 stage 2)
B1 = 1874723, B2 = 187472300 (P-1 stage 2)
B1 = 1874723, B2 = 111052800 (P-1 stage 2)
B1 = 1874723, B2 = 55526400 (P-1 stage 2)
B1 = 1874723, B2 = 27763200 (P-1 stage 2)
B1 = 1874723, B2 = 13881600 (P-1 stage 2)
B1 = 1388160, B2 = 13881600 (P-1 stage 2)
B1 = 1874723 (P-1 stage 1)
B1 = 1388160 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1156800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-10T07:33:56+00:00