is 2 450301 - 1
has 135555 decimal digits
takes 0.005 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
Actual26765.986871.6418 %30000001000000000.14157.2014 %66.128373.6840 %
Target2440.000056.8182 %800012000000.001213.6524 %0.001362.7136 %
Difference+23+65.9868+14.8236 %+2992000+98800000+0.1402-6.4510 %+66.1270+10.9704 %

Known prime factors (1 factor, 67.1 bits, 0.01491099% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4503011630996724028527494012167.144181100721964700
22 × 52 × 1811007219647
2007-09-05251811007219647102.481,685.03,147.2

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.906%
2002-09-07ANONYMOUSv4_computers65536655360012--0.00724.547%
2016-03-17alpertronManual testing300000010000000012---34.806%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.021
2002-02-17ANONYMOUSv4_computers212570.043
2003-12-23ANONYMOUSv4_computers212580.085


ECM factoring results:
Total ECM effort:12.903 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.011
5000050000002813.618
250000250000001449.274


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03binarydigitsv4_computers4671174E30B63A__0.005


PRP results:
dateuseridcompidcofactorsres64
2017-09-24Oliver KruseDoppelherz
163099672402852749401
AEEA2913A646D5DE
2017-09-27Oliver KruseManual testing
163099672402852749401
AEEA2913A646D5DE
2017-11-07kkmrkkblmbrbkc4.xlarge
163099672402852749401
AEEA2913A646D5DE
2020-04-18Oliver KruseAddPrpType5
163099672402852749401
CC63A3E08E99FB7D


CERT results:
No CERT results for M450301


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00