is 2 2225621 - 1
has 669979 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-L8C7E76BFDAF0AFDDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.350867.1642%500000150000000.12305.1893%13.473868.8681%1.7039%
PrimeNet2580.017362.0690%100001800000.00182.8692%0.019163.1573%1.0883%
GPU722620.276064.5161%110001800000.00191.6307%0.278065.0948%0.5786%
Difference+5+13.0748+2.6481%+489000+14820000+0.1211+3.5586%+13.1959+3.7733%+3.7733%

Known prime factors (1 factor, 64.6 bits, 0.00290254% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2225621279504380693495062872064.6006279244774683
3 × 59 × 8287 × 4280917
2013-06-18828742809172.64690.02300.0415

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-10-21T22:15:00Oscar Östlin7501175011---0.007--0.782%
2011-01-12T23:55:00Oscar Östlin850001593750---0.016--2.458%
2016-04-05T11:23:21alpertronManual testing5000001500000012-
skipped known factor: 27950438069349506287
--0.123--5.189%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2022-03-09T16:36:28LordJuliusManual testing21260--0.069--
2009-01-11T12:01:00Sturle Sundejodel.ifi260261--0.069--
2012-04-19T18:48:00Sebastian HornbostelManual testing261262--0.138--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.772 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:0.772 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.772


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers8C7E76BFDAF0AFDD0.146


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T20:51:17Oliver KruseGTX-3
27950438069349506287
C09954DC5301AB__no
2017-11-20T10:01:35kkmrkkblmbrbkc4.xlarge
27950438069349506287
C09954DC5301AB__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
TF factor-bounds graph:
267
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T16:36:28+00:00