is 2 2296237 - 1
has 691237 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE330A82D75AF1314double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.940367.1642%43133743133700.06303.9645%13.003268.4659%1.3018%
PrimeNet2580.016762.0690%100001900000.00192.9271%0.018763.1793%1.1103%
GPU722620.267664.5161%120002000000.00221.7370%0.269765.1325%0.6163%
Difference+5+12.6727+2.6481%+419337+4113370+0.0608+2.2275%+12.7335+3.3335%+3.3335%

Known prime factors (1 factor, 85.6 bits, 0.00373000% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2296237606874892722896265066840732685.65013214552607655400228
22 × 271 × 283 × 43076136699749
2018-01-15283430761366997495,456,925229,893429,375

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.284%
2010-11-07T12:40:00Jocelyn LaroucheManual testing1500015000---0.001--0.241%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.308%
2010-12-03T15:05:00Oscar Östlin7501175011---0.007--0.786%
2011-01-17T15:22:00Oscar Östlin850001742500---0.017--2.523%
2014-06-11T02:10:00Jocelyn LaroucheManual testing112952112952---0.011--1.000%
2014-10-03T21:04:00Jocelyn LaroucheManual testing140904140904---0.014--1.129%
2016-01-25T11:47:50Jocelyn LaroucheManual testing43133743133706---0.063--3.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-16T19:02:00Sturle Sundehummel.ifi260261--0.067--
2012-05-12T06:48:00Sebastian HornbostelManual testing261262--0.134--
2013-12-06T02:47:00Jerry HallettManual testing262263--0.428--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.855--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.627--
2015-11-04T09:56:27ramgeisManual testing265266--3.254--
2017-05-27T13:18:46Gordon SpenceManual testing266267--6.509--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.742 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.742 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.654
50000500000010.088


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersE330A82D75AF13140.155


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-16T22:59:45treborDesktop
60687489272289626506684073
EA1AE6210A484D__no
2018-01-18T21:36:07kkmrkkblmbrbkold
60687489272289626506684073
EA1AE6210A484D__no


P-1 factor-bounds graph:
B1 = 431337, B2 = 4313370 (P-1 stage 2)
B1 = 431337 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 140904 (P-1 stage 1)
B1 = 112952 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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: 2018-01-18T21:36:07+00:00