is 2 2218609 - 1
has 667868 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-L575DDCFBA1ADDDA2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.393067.1642%10000001060000000.64077.7313%14.033869.7028%2.5386%
PrimeNet2580.017362.0690%100001800000.00182.8675%0.019163.1566%1.0877%
GPU722620.276964.5161%110001800000.00191.6297%0.278865.0944%0.5783%
Difference+5+13.1161+2.6481%+989000+105820000+0.6388+6.1016%+13.7549+4.6084%+4.6084%

Known prime factors (2 factors, 131.9 bits, 0.00594526% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
221860925318461601992161531961.135570593141964
22 × 33 × 5283269833
2016-04-052752832698330.150027.44351.255
221860920091917689830346626412270.767452804385311480
23 × 5 × 2027 × 5584661881
2009-12-1920275584661881137.5629.00854.179

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2218609508696446540356687061057619631699284007340131.902
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2016-04-27T15:16:53alpertronManual testing5000001500000012---0.123--5.187%
2021-06-29T10:07:59Dylan Delgadodesktoplinux1000000106000000---0.641--7.731%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2022-03-09T16:36:27LordJuliusManual testing21260--0.069--
2009-01-10T18:27:00Sturle Sundeginjtje.ifi260261--0.069--
2016-04-05T12:10:43TJAOIManual testing261262*61.135190.0120.2960.023


ECM factoring results:

Old Calculation Method

Total ECM effort:0.910 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:0.910 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.39567.342%
25500000.03796.378%
302500000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.257
50000606856670.653


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers575DDCFBA1ADDDA20.146


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-10T00:11:18kkmrkkblmbrbkManual testing
2531846160199216153
2009191768983034662641
B95B54333DF0B4__no
2017-10-26T21:25:47Oliver KruseGTX-1
2531846160199216153
2009191768983034662641
B95B54333DF0B4__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 106000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-06-20T23:29:48+00:00