is 2 2305109 - 1
has 693907 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-LED1484C1578A81E8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.857767.6471%60000001800000001.51648.9603%27.374170.5460%2.8989%
PrimeNet2580.016762.0690%100001900000.00192.9292%0.018663.1800%1.1111%
GPU722620.266564.5161%120002000000.00221.7383%0.268765.1329%0.6168%
Difference+6+25.5912+3.1309%+5988000+179800000+1.5142+7.2221%+27.1054+5.4131%+5.4131%

Known prime factors (1 factor, 77.4 bits, 0.00335984% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23051092061508377214991087427532477.44844716071500631664
24 × 7 × 399250638398497
2020-07-031639925063839849714,3252,130,7563,979,659

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-02-12T10:20:00Budannan50000010000000---0.100--4.371%
2018-02-19T15:53:25Sid & AndyHand_In_The_Box600000018000000012---1.516--8.960%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-15T20:58:00Sturle Sundebach.ifi260261--0.067--
2012-05-12T19:48:00Sebastian HornbostelManual testing261262--0.133--
2013-01-23T08:24:00dbaughManual testing262263--0.426--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.852--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.621--
2015-10-22T10:17:22ramgeisManual testing265266--3.242--
2017-05-31T02:32:34Gordon SpenceManual testing266267--6.484--
2019-05-06T12:23:28TJAOIManual testing267268--12.97--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.373 GHz-days
Estimated T-Level:3.600
DigitsB1CurvesCompleteFacMiss
201100072 / 1000.72048.499%
255000072 / 2800.25777.290%

New Calculation Method

Total ECM effort:6.373 GHz-days
Estimated T-Level:3.600
DigitsB1CompleteFacMiss
20110002.3239.802%
25500000.21081.066%
302500000.01398.716%


ECM Summary

B1B2factorcurvesGHz-days
500005000000696.108
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-07T00:00:00ANONYMOUSv4_computersED1484C1578A81E80.156
2018-05-01T21:30:25kkmrkkblmbrbkoldED1484C1578A81E80.156


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-03T07:21:20CrypticClueManual testing
206150837721499108742753
F94C30750E696251no
2020-07-04T02:38:29marssystemssystem03
206150837721499108742753
F94C30750E696251no


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: 2020-07-04T02:38:29+00:00