is 2 3453829 - 1
has 1039707 decimal digits
takes 0.363 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L58F2AAC33AC13B17double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26817.257667.6471 %11634552134440001.93858.3357 %19.196170.3439 %
Target2641.030565.6250 %1900017000000.01681.8551 %1.047466.2627 %
Difference+4+16.2271+2.0221 %+1144455+211744000+1.9217+6.4806%+18.1488+4.0812 %

Known prime factors (1 factor, 77.4 bits, 0.00224086% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34538291987801365734877553947532477.39628776777393074144
25 × 7 × 347 × 647 × 4943 × 115763
2009-07-06494311576314,1260.00170.0018

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-06Carsten Kossendeymother2477.3960.0050.000%
2021-03-17JossManual testing34538234538296
skipped known factor: 198780136573487755394753
---5.262%
2022-01-06JossManual testing1163455111642300
skipped known factor: 198780136573487755394753
--1.14510.580%
2022-09-05JossManual testing1163455213444000
skipped known factor: 198780136573487755394753
--2.02911.487%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-01ANONYMOUSv4_computers212600.022
2009-03-22S485122USB-A2602610.044
2022-05-12LordJuliusManual testing21265
2021-02-28JossManual testing265266
2021-03-17JossManual testing266267
2021-06-11JossManual testing267268


ECM factoring results:
Total ECM effort:0.299 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.299


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-28ANONYMOUSv4_computers58F2AAC33AC13B170.363
1999-09-07ANONYMOUSv4_computers58F2AAC33AC13B170.363


PRP results:
dateuseridcompidcofactorsres64
2017-11-06Oliver KruseGTX-2
198780136573487755394753
A5040F0A43CAF4A8
2017-12-16kkmrkkblmbrbkc4.xlarge
198780136573487755394753
A5040F0A43CAF4A8


CERT results:
No CERT results for M3453829


P-1 factor-bounds graph:
B1 = 1163455, B2 = 213444000 (P-1 stage 2)
B1 = 1163455, B2 = 111642300 (P-1 stage 2)
B1 = 1163455 (P-1 stage 1)
B1 = 345382, B2 = 3453829 (P-1 stage 2)
B1 = 345382 (P-1 stage 1)
102
103
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107
102
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104
105
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109
TF factor-bounds graph:
268
267
266
265
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00