is 2 2306627 - 1
has 694364 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L988FDE0B0E731C8Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.840767.6471%60000001800000001.51648.9609%27.357170.5462%2.8991%
PrimeNet2580.016662.0690%100001900000.00192.9295%0.018663.1802%1.1112%
GPU722620.266364.5161%120002000000.00221.7385%0.268565.1330%0.6169%
Difference+6+25.5744+3.1309%+5988000+179800000+1.5142+7.2224%+27.0885+5.4131%+5.4131%

Known prime factors (1 factor, 79.6 bits, 0.00345146% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23066279240732018206965380877912479.612200308329396277885
5 × 17 × 149 × 1153 × 13717169573
2020-07-2211531371716957385,07673.207136.73

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.230%
2010-02-15T08:09:00Budannan50000010000000---0.100--4.371%
2017-12-26T00:23:19Sid & AndyHand_In_The_Box600000018000000012---1.516--8.961%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-15T03:21:00Sturle Sundeakerman.ifi260261--0.067--
2012-05-13T15:33:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.426--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.851--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.620--
2015-10-22T10:17:23ramgeisManual testing265266--3.240--
2017-05-31T02:32:34Gordon SpenceManual testing266267--6.479--
2019-05-06T12:23:28TJAOIManual testing267268--12.96--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.993 GHz-days
Estimated T-Level:3.950
DigitsB1CurvesCompleteFacMiss
201100079 / 1000.79045.204%
255000079 / 2800.28275.379%

New Calculation Method

Total ECM effort:6.993 GHz-days
Estimated T-Level:3.950
DigitsB1CompleteFacMiss
20110002.5487.821%
25500000.23079.428%
302500000.01498.592%


ECM Summary

B1B2factorcurvesGHz-days
500005000000786.905
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers988FDE0B0E731C8E0.156
2018-05-02T02:47:45kkmrkkblmbrbkold988FDE0B0E731C8E0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-22T09:24:34CrypticCluecruncher
924073201820696538087791
C095409A07963296no
2020-07-23T09:01:33marssystemssystem03
924073201820696538087791
C095409A07963296no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
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TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
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2100
Last modified: 2020-07-23T09:01:33+00:00