is 2 2137493 - 1
has 643450 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC81CB3C8BEE992BAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.901367.1642%500000150000000.12305.1642%14.024368.8599%1.6957%
PrimeNet2580.018062.0690%90001700000.00172.7307%0.019763.1048%1.0358%
GPU722620.287464.5161%100001500000.00171.4872%0.289165.0438%0.5277%
Difference+5+13.6139+2.6481%+490000+14850000+0.1213+3.6770%+13.7352+3.8160%+3.8160%

Known prime factors (1 factor, 92.0 bits, 0.00430345% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213749349038829046015396557053384312891.9861147110868807883734755
3 × 5 × 7 × 11 × 13 × 1072901 × 71206626017
2015-08-02107290171206626017293,268,257369.96690.80

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2010-10-26T04:58:00Oscar Östlin7501175011---0.007--0.776%
2010-11-26T22:49:00Oscar Östlin800001500000---0.015--2.378%
2013-12-03T16:49:00c10ck3rManual testing50000010000000---0.097--4.777%
2016-03-26T11:54:59alpertronManual testing5000001500000012---0.123--5.164%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T10:02:00LordJuliusManual testing21260--0.072--
2009-01-05T08:40:00Sturle Sundeeberlin.ifi260261--0.072--
2012-04-15T19:42:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.459--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.919--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.748--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.501 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.501 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.50660.317%
25500000.04595.588%
302500000.00399.724%


ECM Summary

B1B2factorcurvesGHz-days
500005000030.152
500005000000121.023
50000500000010.085
500001000000020.240


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computersC81CB3C8BEE992BA0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T16:28:43Oliver KruseGTX-0
4903882904601539655705338431
96F0BDF6F97DBB__no
2017-11-18T06:19:32kkmrkkblmbrbkc4.xlarge
4903882904601539655705338431
96F0BDF6F97DBB__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (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
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T10:02:00+00:00