is 2 2225407 - 1
has 669915 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-LE0EF28186B573863double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.352167.1642%500000150000000.12305.1892%13.475168.8681%1.7039%
PrimeNet2580.017362.0690%100001800000.00182.8691%0.019163.1573%1.0883%
GPU722620.276164.5161%110001800000.00191.6307%0.278065.0948%0.5786%
Difference+5+13.0761+2.6481%+489000+14820000+0.1211+3.5585%+13.1971+3.7733%+3.7733%

Known prime factors (1 factor, 67.6 bits, 0.00303938% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22254072297369638814315362072167.63951616842195929
10009 × 5157042881
2013-06-1410009515704288123.90326.78850.031

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-10-21T19:31:00Oscar Östlin7501175011---0.007--0.782%
2011-01-12T22:21:00Oscar Östlin850001593750---0.016--2.458%
2016-04-04T20:36:29alpertronManual testing5000001500000012---0.123--5.189%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-13T00:00:00ANONYMOUSv4_computers21258--0.017--
2022-03-09T16:36:28LordJuliusManual testing21260--0.069--
2009-01-11T08:39:00Sturle Sundejodel.ifi260261--0.069--
2012-04-19T18:48:00Sebastian HornbostelManual testing261262--0.138--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.372 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.372 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.61554.043%
25500000.05794.465%
302500000.00499.641%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000161.372


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computersFA71EC5A3D5DBC__0.146
1999-11-24T00:00:00ANONYMOUSv4_computersE0EF28186B5738630.146


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T20:53:40Oliver KruseGTX-2
229736963881431536207
FF9C9DB80C6B91__no
2017-11-20T06:49:39ATHec2-1xf
229736963881431536207
FF9C9DB80C6B91__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)
102
103
104
105
106
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: 2022-08-08T16:36:13+00:00