is 2 2122489 - 1
has 638933 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L73E213EC8D2990D2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.999667.1642%500000150000000.12305.1598%14.122568.8584%1.6943%
PrimeNet2580.018162.0690%90001600000.00162.6831%0.019763.0867%1.0177%
GPU722620.289564.5161%100001400000.00161.4545%0.291165.0322%0.5161%
Difference+5+13.7101+2.6481%+490000+14860000+0.1214+3.7053%+13.8315+3.8262%+3.8262%

Known prime factors (2 factors, 133.4 bits, 0.00628309% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21224892925209082776795031858.02168909876159
17 × 131 × 30942917
-131309429170.02910.16070.3002
2122489477047864279985966597592375.33711237934902842511
173 × 64959161288107
2021-12-19173649591612881076,142.1337,414630,196

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21224891395464745511086750368626534635133921977741133.358
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2016-03-16T12:13:00alpertronManual testing5000001500000012---0.123--5.160%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00Olli Heikkiläv4_computers21258--0.018--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.123 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.123 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.68750.300%
25500000.06194.128%
302500000.00499.632%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
50000500000060.511
50000500000070.596
50000629978470.660


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00Olli Heikkiläv4_computers73E213EC8D2990D20.140


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T07:19:02Oliver KruseGTX-0
292520908277679503
44B5402692EC1E__no
2017-11-17T18:52:57kkmrkkblmbrbkc4.xlarge
292520908277679503
44B5402692EC1E__no
2021-12-19T22:27:16MarkSdesktop-i7
292520908277679503
47704786427998596659759
AFCAEDE4DC1F5292no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-11T05:08:01+00:00