is 2 2798461 - 1
has 842421 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
Actual26710.617967.1642%2460002525499901.56707.4241%12.185069.6019%
Target2630.570365.0794%150002600000.00321.7896%0.573565.7043%
Difference+4+10.0476+2.0848%+231000+252289990+1.5638+5.6346%+11.6115+3.8977%

Known prime factors (2 factors, 124.7 bits, 0.00445501% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2798461601090558710214331755.73810739662956
22 × 32 × 11 × 27120361
-11271203610.00240.16550.3091
27984615636649584180659105372168.933100709811288788
22 × 13 × 97 × 967 × 20647631
2023-01-229672064763123.8330.12610.2353

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-01-22USAFSS6917th_Scty_Sq2460002525499902168.9331.5670.4323.1347.424%


Trial Factoring results:
No TF results for M2798461


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 M2798461


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21Oliver KruseGTX-0
60109055871021433
1D1DE08A0911B7__no
2017-12-06kkmrkkblmbrbkc4.xlarge
60109055871021433
1D1DE08A0911B7__no
2023-01-23LordJuliusWhiteBox
60109055871021433
563664958418065910537
1D1DE08A0911B722no


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
250
260
270
Last modified: 2023-03-25T13:08:14+00:00