is 2 2216611 - 1
has 667267 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-LE14A37E9A9D1570Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.405167.1642%500000150000000.12305.1867%13.528168.8673%1.7031%
PrimeNet2580.017362.0690%100001800000.00182.8670%0.019263.1565%1.0875%
GPU722620.277264.5161%110001800000.00191.6294%0.279165.0943%0.5782%
Difference+5+13.1279+2.6481%+489000+14820000+0.1211+3.5573%+13.2490+3.7730%+3.7730%

Known prime factors (1 factor, 65.1 bits, 0.00293864% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2216611406012300082282206092065.1389158402175264
25 × 32 × 227 × 140088139
2013-06-072271400881393.87810.72771.3591

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-10-11T07:13:00Oscar Östlin7501175011---0.007--0.781%
2010-12-19T23:19:00Oscar Östlin850001593750---0.016--2.456%
2016-04-25T15:12:34alpertronManual testing5000001500000012---0.123--5.187%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2022-03-09T16:36:27LordJuliusManual testing21260--0.069--
2009-01-11T00:00:00Sturle Sundefigaro.ifi260261--0.069--
2012-04-18T08:48:00Sebastian HornbostelManual testing261262--0.139--
2013-01-23T08:20:00dbaughManual testing262263--0.443--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.423 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.423 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.62653.464%
25500000.05894.342%
302500000.00499.633%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.771
50000605000070.652


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersE14A37E9A9D1570D0.146


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T21:22:20kkmrkkblmbrbkc4.xlargeAFE1CABAB63AF6__no
2017-10-26T11:10:00Oliver KruseGTX-0
40601230008228220609
AFE1CABAB63AF6__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
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)
101
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105
106
101
102
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104
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109
TF factor-bounds graph:
267
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-08-06T19:15:52+00:00