is 2 2212361 - 1
has 665988 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4B81682B324A5AAFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.430967.1642%2000000650000000.51797.6502%13.948869.6762%2.5120%
PrimeNet2580.017462.0690%100001800000.00182.8660%0.019263.1561%1.0871%
GPU722620.277764.5161%110001700000.00191.6018%0.279665.0845%0.5684%
Difference+5+13.1532+2.6481%+1989000+64830000+0.5160+6.0483%+13.6692+4.5917%+4.5917%

Known prime factors (1 factor, 80.7 bits, 0.00364733% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
221236119532200145867788255013512580.692441433386004087675
52 × 112 × 145928392067467
2016-07-05121145928392067467191,057757,9891,415,712

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-11-06T00:22:00ANONYMOUSManual testing1500015000---0.001--0.239%
2010-11-10T11:27:00Jocelyn LaroucheManual testing3000030000---0.003--0.419%
2011-01-08T06:36:00markrtiny900001665000---0.017--2.510%
2013-11-13T18:49:00c10ck3rManual testing50000010000000---0.097--4.797%
2015-11-14T20:39:29Alexander DubrovinManual testing15000001000000012---0.187--5.281%
2015-12-11T13:23:51Alexander DubrovinManual testing20000006500000012---0.518--7.650%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:08Mark RoseManual testing21260--0.069--
2009-01-03T08:02:00Sturle Sundeaalto.ifi260261--0.069--
2009-01-07T04:42:00Sturle Sundehindemith.ifi261262--0.139--
2013-01-23T08:20:00dbaughManual testing262263--0.444--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.887--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.689--
2015-10-22T10:17:21ramgeisManual testing265266--3.378--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.970 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:1.970 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.74247.619%
25500000.06793.514%
302500000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.799
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers4B81682B324A5AAF0.145


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T18:25:13Oliver KruseGTX-3
1953220014586778825501351
130F0A6A40D42C__no
2017-11-20T04:03:57ATHec2-1xf
1953220014586778825501351
130F0A6A40D42C__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000, B2 = 10000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (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: 2017-11-20T04:03:57+00:00