is 2 2799581 - 1
has 842758 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.613767.1642%2460002525499901.56707.4244%12.180769.6021%
Target2630.570165.0794%150002600000.00321.7897%0.573365.7043%
Difference+4+10.0436+2.0848%+231000+252289990+1.5638+5.6348%+11.6075+3.8977%

Known prime factors (2 factors, 116.1 bits, 0.00414652% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2799581286188847473611444.7025111280
24 × 32 × 5 × 31 × 229
-312291.120e-64.680e-67.066e-6
279958130796967587737836584812271.383550028157566040
23 × 32 × 5 × 83 × 463 × 39757891
2023-01-2246339757891321.630.24260.4531

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-01-22USAFSS6917th_Scty_Sq2460002525499902271.3831.5670.4323.1347.424%


Trial Factoring results:
No TF results for M2799581


ECM factoring results:
Total ECM effort:0.313 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.313


Lucas-Lehmer results:
No L-L results for M2799581


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21Oliver KruseGTX-0
28618884747361
78EB605EFB1300__no
2017-12-06kkmrkkblmbrbkc4.xlarge
28618884747361
78EB605EFB1300__no
2023-01-23LordJuliusWhiteBox
28618884747361
3079696758773783658481
78EB605EFB130036no


P-1 factor-bounds graph:
B1 = 246000, B2 = 252549990 (P-1 stage 2)
B1 = 246000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67.7
ECM T-Level=0.58 ~= -15-bit
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280
Last modified: 2023-03-25T13:08:14+00:00