is 2 2138569 - 1
has 643774 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-LC3D0B6A194F35101double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.894367.1642%500000150000000.12305.1645%14.017368.8600%1.6958%
PrimeNet2580.018062.0690%90001700000.00172.7310%0.019663.1049%1.0359%
GPU722620.287364.5161%100001500000.00171.4873%0.289065.0439%0.5278%
Difference+5+13.6070+2.6481%+490000+14850000+0.1213+3.6771%+13.7283+3.8161%+3.8161%

Known prime factors (1 factor, 77.9 bits, 0.00364139% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21385692768693380444105760721592477.87464732383674412791
34273 × 1888728260567
2013-04-2134273188872826056715,8349,810.518,323

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2010-10-26T06:14:00Oscar Östlin7501175011---0.007--0.776%
2010-11-27T09:40:00Oscar Östlin800001500000---0.015--2.378%
2016-03-27T12:22:48alpertronManual testing5000001500000012---0.123--5.164%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T10:02:01LordJuliusManual testing21260--0.072--
2009-01-04T22:08:00Sturle Sundefigaro.ifi260261--0.072--
2012-04-16T06:47:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.459--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.962 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:1.962 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.88541.287%
25500000.08292.141%
302500000.00599.485%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000231.962


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersC3D0B6A194F351010.141


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T17:23:43Oliver KruseGTX-0
276869338044410576072159
350424152275FB__no
2017-11-18T11:23:35kkmrkkblmbrbkold
276869338044410576072159
350424152275FB__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (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
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-07-13T02:34:04+00:00