is 2 674483 - 1
has 203040 decimal digits
takes 0.013 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3C0E1EC8BBECBD60double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26744.054470.1493 %125000006000000001.289010.6796 %45.343373.3372 %
Target2440.000054.5455 %1100020000000.003516.0273 %0.003561.8306 %
Difference+23+44.0544+15.6038 %+12489000+598000000+1.2855-5.3477 %+45.3399+11.5066 %

Known prime factors (1 factor, 70.0 bits, 0.01037925% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
67448311857628749133959458472270.006879016131550681
37 × 59 × 402664283807
2016-05-2759402664283807487.88635.331,186.6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00924.479%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.031%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00622.735%
2002-10-19ANONYMOUSv4_computers65536655360012--0.01225.390%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02427.989%
2011-07-15JossManual testing332152332152--0.01016.646%
2011-09-11JossManual testing553587553587--0.01618.226%
2012-06-19JossManual testing674533674533--0.02018.837%
2012-08-11JossManual testing13489661348966--0.03920.969%
2015-02-20JossManual testing14489661448966--0.04221.188%
2015-03-29JossManual testing15938621593862--0.04621.479%
2015-04-08JossManual testing17532481753248--0.05121.770%
2015-05-01JossManual testing21214292121429--0.06122.350%
2015-05-22JossManual testing23335712333571--0.06822.639%
2015-06-08JossManual testing25669282566928--0.07422.928%
2015-06-25JossManual testing28236202823620--0.08223.216%
2015-06-26mikrColor1250000060000000012--1.28941.223%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-04-08ANONYMOUSv4_computers212560.014
2002-01-02ANONYMOUSv4_computers212570.028
2003-10-14ANONYMOUSv4_computers212580.057
2008-10-14Sturle Sundegerle.ifi2582600.171
2010-08-14Architects Cubedm1_f22602610.228
2015-05-25lycornManual testing2612620.455
2015-11-01Gordon SpenceManual testing2622644.366


ECM factoring results:
Total ECM effort:23.346 GHz-days
Estimated T-Level:26.543
DigitsB1CompleteFacMiss
201100024.1540.000%
25500003.1554.262%
302500000.30973.453%
3510000000.02497.631%
4030000000.00299.844%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002515.312
25000025000000444.946
2500004000000010011.98
25000012899251041.107


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-07ANONYMOUSv4_computers3C0E1EC8BBECBD600.013
2015-04-11MadPooManual testing3C0E1EC8BBECBD600.013


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
1185762874913395945847
2E725BC0CA31AA71
2017-10-13Oliver KruseThreadripper-PC
1185762874913395945847
2E725BC0CA31AA71
2020-04-20Oliver KruseAddPrpType5
1185762874913395945847
E9C49E7779304D40


CERT results:
No CERT results for M674483


P-1 factor-bounds graph:
B1 = 12500000, B2 = 600000000 (P-1 stage 2)
B1 = 12500000 (P-1 stage 1)
B1 = 2823620 (P-1 stage 1)
B1 = 2566928 (P-1 stage 1)
B1 = 2333571 (P-1 stage 1)
B1 = 2121429 (P-1 stage 1)
B1 = 1753248 (P-1 stage 1)
B1 = 1593862 (P-1 stage 1)
B1 = 1448966 (P-1 stage 1)
B1 = 1348966 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 674533 (P-1 stage 1)
B1 = 553587 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 332152 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (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=26.54 ~= 72-bit
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Last modified: 2024-03-13T02:15:48+00:00