is 2 742967 - 1
has 223656 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4FEE8457E4F75E6Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26739.993670.1493 %200000052194928508.290111.8954 %48.283773.7001 %
Target2440.000054.5455 %1200022500000.003916.6125 %0.003962.0966 %
Difference+23+39.9936+15.6038 %+1988000+5217242850+8.2862-4.7170 %+48.2798+11.6036 %

Known prime factors (1 factor, 74.9 bits, 0.01008030% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
742967350850364485363182647912374.89323611436610600685
5 × 72 × 11 × 19 × 461115840457
2014-06-06494611158404575,149.4727.551,358.9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.788%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.693%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.478%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.228%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.936%
2002-11-24ANONYMOUSv4_computers65537655370012--0.01225.594%
2003-07-06ANONYMOUSv4_computers1310721310720012--0.02428.195%
2011-06-23JossManual testing400000400000--0.01217.380%
2011-08-15JossManual testing488349488349--0.01417.998%
2011-10-17JossManual testing976699976699--0.02820.141%
2012-04-16JossManual testing14650491465049--0.04221.386%
2012-07-14JossManual testing14859341485934--0.04321.430%
2013-10-26David Campeaui5-2500k15200005168000012--0.10833.675%
2016-03-17alpertronManual testing5000001500000012---29.541%
2023-01-23USAFSS6917th_Scty_Sq20000005219492850--10.0746.367%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-08ANONYMOUSv4_computers212550.006
2001-03-25ANONYMOUSv4_computers212560.013
2001-12-01ANONYMOUSv4_computers212570.026
2003-09-29ANONYMOUSv4_computers212580.052
2008-10-13Sturle Sundenardi.ifi2582590.052
2008-10-13Sturle Sundenardi.ifi2592600.103
2010-06-28Architects Cubeda3_s22602610.207


ECM factoring results:
Total ECM effort:11.213 GHz-days
Estimated T-Level:25.642
DigitsB1CompleteFacMiss
201100014.2690.000%
25500001.57020.807%
302500000.12887.954%
3510000000.00999.144%


ECM Summary

B1B2factorcurvesGHz-days
10.280
5000050000002675.944
25000025000000444.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-19ANONYMOUSv4_computers4FEE8457E4F75E6B0.015


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
35085036448536318264791
40E693E6F575DAAB
2017-09-28Oliver KruseManual testing
35085036448536318264791
40E693E6F575DAAB
2017-11-09kkmrkkblmbrbkc4.large
35085036448536318264791
40E693E6F575DAAB
2020-04-20Oliver KruseAddPrpType5
35085036448536318264791
B8584DE21CFE4B50


CERT results:
No CERT results for M742967


P-1 factor-bounds graph:
B1 = 2000000, B2 = 5219492850 (P-1 stage 2)
B1 = 1520000, B2 = 51680000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1520000 (P-1 stage 1)
B1 = 1485934 (P-1 stage 1)
B1 = 1465049 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 976699 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 488349 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.64 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00