is 2 417737 - 1
has 125752 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-LA8E1513F216C7F70double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26771.130771.6418 %30000001000000000.11657.1466 %71.247173.6684 %
Target2440.000056.8182 %700011000000.000913.1388 %0.000962.4918 %
Difference+23+71.1307+14.8236 %+2993000+98900000+0.1155-5.9922 %+71.2462+11.1767 %

Known prime factors (1 factor, 67.9 bits, 0.01625401% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4177372751963721874208571912167.899329389510849435
5 × 43 × 197 × 239 × 32539223
2008-02-282393253922371.1310.02490.0465

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-11-24ANONYMOUSv4_computers500001000000--0.00119.116%
2001-12-01ANONYMOUSv4_computers500001000000--0.00119.116%
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.753%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.392%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.01226.981%
2006-02-01Jossv4_computers417737417737--0.00616.581%
2016-03-16alpertronManual testing300000010000000012
skipped known factor: 275196372187420857191
---34.654%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.023
2002-01-15ANONYMOUSv4_computers212570.046
2003-12-31ANONYMOUSv4_computers212580.092


ECM factoring results:
Total ECM effort:10.556 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
5000050000002782.927
250000250000001447.602


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-10ANONYMOUSv4_computersA8E1513F216C7F700.004


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
275196372187420857191
7D886764ED543C34
2017-11-02kkmrkkblmbrbkc4.xlarge
275196372187420857191
7D886764ED543C34
2020-04-18Oliver KruseAddPrpType5
275196372187420857191
0336B4CCEB335418


CERT results:
No CERT results for M417737


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 = 417737 (P-1 stage 1)
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)
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108
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-29T14:28:04+00:00