is 2 2263829 - 1
has 681481 decimal digits
takes 0.149 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
Actual26713.125567.1642 %500000150000000.12305.1999 %13.248568.8716 %
Target2620.271464.5161 %120009500000.00601.7068 %0.277465.1218 %
Difference+5+12.8541+2.6481 %+488000+14050000+0.1170+3.4931%+12.9711+3.7498 %

Known prime factors (3 factors, 160.8 bits, 0.00710513% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
226382918110633824.1104
22
-449.881e-133.813e-77.761e-7
2263829400759300591526391755.1548851359811
7 × 43 × 29406511
2015-01-0943294065110.00370.15270.2853
226382936245133263166840749526732581.584800527187856654384
24 × 3 × 7 × 19 × 29 × 41 × 79 × 19793 × 67447
2016-04-191979367447416,9260.00210.0038

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-04-19alpertronManual testing500000150000001222581.5840.1238.297%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-01-09TJAOIManual testing255256*
55.154
17
0.000


ECM factoring results:
Total ECM effort:7.173 GHz-days
Estimated T-Level:21.410
DigitsB1CompleteFacMiss
20110003.0304.833%
25500000.28275.425%
302500000.01898.225%


ECM Summary

B1B2factorcurvesGHz-days
50000420000070.562
50000500000030.258
50000570562570.637
500007000000505.008
50000715000070.709


Lucas-Lehmer results:
No L-L results for M2263829


PRP results:
dateuseridcompidcofactorsres64
2017-10-10Oliver KruseGTX-10EE8B3100C4252__
2017-10-18Oliver KruseGTX-3
18110633
40075930059152639
3624513326316684074952673
98532A02BC6AD727
2017-11-21Cassessorycomputerroom2
18110633
40075930059152639
3624513326316684074952673
98532A02BC6AD727


CERT results:
No CERT results for M2263829


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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108
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.41 ~= 55-bit
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Last modified: 2024-03-13T02:15:48+00:00