is 2 422551 - 1
has 127201 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9D911F3423CECE50double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26770.320371.6418 %30000001000000000.11657.1550 %70.436873.6708 %
Target2440.000056.8182 %700011000000.000913.1588 %0.000962.5004 %
Difference+23+70.3203+14.8236 %+2993000+98900000+0.1155-6.0039 %+70.4358+11.1704 %

Known prime factors (1 factor, 62.7 bits, 0.01483933% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
42255175111736608896102231962.7048887890054561
3 × 7 × 17 × 24896050573
2009-09-1617248960505731.453919.06735.612

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-01ANONYMOUSv4_computers500001000000--0.00119.137%
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.777%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.416%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.01227.004%
2016-03-17alpertronManual testing300000010000000012---34.677%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-18ANONYMOUSv4_computers212560.023
2002-01-22ANONYMOUSv4_computers212570.045
2004-01-07ANONYMOUSv4_computers212580.091


ECM factoring results:
Total ECM effort:10.518 GHz-days
Estimated T-Level:26.432
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002782.884
250000250000001447.606


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03ANONYMOUSv4_computers9D911F3423CECE500.004


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
7511173660889610223
4AD64485711F2808
2017-11-02kkmrkkblmbrbkc4.xlarge
7511173660889610223
4AD64485711F2808
2020-04-18Oliver KruseAddPrpType5
7511173660889610223
C36B419C3A7A1671


CERT results:
No CERT results for M422551


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00