is 2 455513 - 1
has 137124 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD5FDDDB1431A7004double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26765.231871.6418 %30000001000000000.14157.2098 %65.373373.6864 %
Target2440.000056.8182 %800013000000.001313.8590 %0.001362.8027 %
Difference+23+65.2318+14.8236 %+2992000+98700000+0.1401-6.6491 %+65.3719+10.8836 %

Known prime factors (1 factor, 82.2 bits, 0.01803944% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
45551354478984155696122105349672582.1725979959315727116691
3 × 241 × 16987 × 630689 × 772019
2010-09-296306897720192,150,2500.01090.0219

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-08ANONYMOUSv4_computers500001000000--0.00219.278%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.929%
2002-09-07ANONYMOUSv4_computers65536655360012--0.00724.571%
2009-08-28Carsten Kossendeymother455513455513--0.00816.985%
2010-09-28Rob_Deetwopc5000001000000--0.00919.778%
2010-09-29Rob_Deetwopc2582.1720.0170.000%
2016-03-17alpertronManual testing300000010000000012
skipped known factor: 5447898415569612210534967
---34.830%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.021
2002-02-10ANONYMOUSv4_computers212570.042
2004-01-18ANONYMOUSv4_computers212580.084


ECM factoring results:
Total ECM effort:12.714 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
5000050000002813.433
250000250000001449.280


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-24binarydigitsv4_computersD5FDDDB1431A70040.005


PRP results:
dateuseridcompidcofactorsres64
2017-09-25Oliver KruseDoppelherz
5447898415569612210534967
7A60AA423476D617
2017-09-27Oliver KruseManual testing
5447898415569612210534967
7A60AA423476D617
2017-11-09kkmrkkblmbrbkc4.large
5447898415569612210534967
7A60AA423476D617
2020-04-18Oliver KruseAddPrpType5
5447898415569612210534967
20C2F71DB81BA3EA


CERT results:
No CERT results for M455513


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 455513 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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Last modified: 2024-02-09T03:30:02+00:00