is 2 2223731 - 1
has 669410 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB15AE32E39E67B6Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.362267.1642%2000000650000000.51797.6542%13.880169.6775%2.5133%
PrimeNet2580.017362.0690%100001800000.00182.8687%0.019163.1571%1.0881%
GPU722620.276364.5161%110001800000.00191.6304%0.278265.0947%0.5785%
Difference+5+13.0859+2.6481%+1989000+64820000+0.5160+6.0237%+13.6019+4.5828%+4.5828%

Known prime factors (1 factor, 78.3 bits, 0.00352330% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22237313848847469131824806838572478.34986540311510965688
23 × 881 × 1201 × 10223734231
2018-01-0612011022373423146,28653.10599.185

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-10-21T03:00:00Oscar Östlin7501175011---0.007--0.782%
2011-01-12T20:24:00Oscar Östlin850001593750---0.016--2.458%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113863113863---0.011--0.999%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142726142726---0.014--1.131%
2015-05-02T10:30:00Squeeky_SquirrelP4_26001600004600000---0.038--3.503%
2015-11-21T11:26:55Alexander DubrovinManual testing100000050000006---0.116--4.390%
2015-12-22T07:19:42Alexander DubrovinManual testing20000006500000012---0.518--7.654%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T11:53:00Sturle Sundebuxtehude.ifi260261--0.069--
2012-04-19T07:48:00Sebastian HornbostelManual testing261262--0.138--
2013-08-20T15:20:00David CampeauManual testing262263--0.441--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.883--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.680--
2015-10-25T20:35:08ramgeisManual testing265266--3.360--
2016-12-24T00:00:58Gordon SpenceManual testing266267--6.721--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.915 GHz-days
Estimated T-Level:1.700
DigitsB1CurvesCompleteFacMiss
201100034 / 1000.34071.055%
255000034 / 2800.12188.546%

New Calculation Method

Total ECM effort:2.915 GHz-days
Estimated T-Level:1.700
DigitsB1CompleteFacMiss
20110001.09733.395%
25500000.09990.563%
302500000.00699.391%


ECM Summary

B1B2factorcurvesGHz-days
500005000000312.658
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersB15AE32E39E67B6C0.146


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-06T19:21:40ATHec2-8x
384884746913182480683857
BAEFA5E19E898A__no
2018-01-07T17:11:32Oliver KruseGTX-7
384884746913182480683857
BAEFA5E19E898A__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142726 (P-1 stage 1)
B1 = 113863 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
107
102
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104
105
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109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2018-01-07T17:11:32+00:00