is 2 2306309 - 1
has 694269 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-L-unknown--unknown-
PRP156043815E479DC1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26951.765368.1159%60000001800000001.51648.2984%53.281770.7618%2.6459%
PrimeNet2580.016662.0690%100001900000.00192.9295%0.018663.1801%1.1112%
GPU722620.266464.5161%120002000000.00221.7385%0.268665.1330%0.6169%
Difference+7+51.4989+3.5998%+5988000+179800000+1.5142+6.5600%+53.0131+5.6288%+5.6288%

Known prime factors (1 factor, 107.7 bits, 0.00467156% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
230630927110210967670571896614237125464933107.74158774021537596592426717836
22 × 3 × 7457 × 4696273 × 139857797170673
2021-10-1346962731398577971706738.263e+10746,4061,394,078

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.185%
2010-02-12T10:21:00Budannan50000010000000---0.100--3.958%
2018-01-24T03:31:28Sid & AndyHand_In_The_Box600000018000000012---1.516--8.298%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-14T22:37:00Sturle Sundeakerman.ifi260261--0.067--
2012-05-13T12:23:00Sebastian HornbostelManual testing261262--0.133--
2013-01-23T08:24:00dbaughManual 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--6.480--
2019-05-06T12:23:28TJAOIManual testing267268--12.96--
2021-07-26T11:06:39TJAOIManual testing268269--25.92--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.881 GHz-days
Estimated T-Level:22.982
DigitsB1CurvesCompleteFacMiss
2011000167 / 1001.67018.667%
2550000167 / 2800.59655.019%

New Calculation Method

Total ECM effort:14.881 GHz-days
Estimated T-Level:22.982
DigitsB1CompleteFacMiss
20110005.2950.502%
25500000.47662.102%
302500000.02997.113%
3510000000.00199.866%


ECM Summary

B1B2factorcurvesGHz-days
50000450000070.594
50000500000014112.48
50000500000050.443
500006200000141.363


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers30CA9B1B6C6807__0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-15T03:23:48GANLMS-09
271102109676705718966142371254649
156043815E479DC1no


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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TF factor-bounds graph:
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Last modified: 2021-10-15T03:23:48+00:00