is 2 419537 - 1
has 126294 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-LD02B7C0335C944C8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26770.825571.6418 %100000002500000000.32448.9545 %71.149974.1811 %
Target2440.000056.8182 %700011000000.000913.1463 %0.000962.4950 %
Difference+23+70.8255+14.8236 %+9993000+248900000+0.3234-4.1919 %+71.1489+11.6861 %

Known prime factors (1 factor, 66.6 bits, 0.01588637% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4195371157197536598860255532166.649137913644875048
23 × 7 × 1361 × 1809510403
2009-11-171361180951040335.2021.38592.5884

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-06-30ANONYMOUSv4_computers1000004000000--0.00423.524%
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.762%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.401%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.01226.989%
2009-08-07James Hintznewestmember1000000025000000012--0.32437.542%
2016-03-17alpertronManual testing300000010000000012---34.662%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.023
2002-01-22ANONYMOUSv4_computers212570.046
2003-12-31ANONYMOUSv4_computers212580.092


ECM factoring results:
Total ECM effort:10.499 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.018
5000050000002792.877
250000250000001447.603


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22ANONYMOUSv4_computersD02B7C0335C944C80.004


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
115719753659886025553
748FE7A7B436E17C
2017-11-02kkmrkkblmbrbkc4.xlarge
115719753659886025553
748FE7A7B436E17C
2020-04-18Oliver KruseAddPrpType5
115719753659886025553
ADAD4EECD728D3D2


CERT results:
No CERT results for M419537


P-1 factor-bounds graph:
B1 = 10000000, B2 = 250000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
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 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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105
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107
102
103
104
105
106
107
108
109
1010
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