is 2 683831 - 1
has 205854 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L504ED0C2F2BB22EEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26743.452170.1493 %68383102051493000.51098.8892 %43.963172.8028 %
Target2440.000054.5455 %1100020000000.003516.0530 %0.003561.8423 %
Difference+23+43.4521+15.6038 %+6827310+203149300+0.5075-7.1637 %+43.9596+10.9605 %

Known prime factors (1 factor, 79.4 bits, 0.01161616% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6838318171188411848835317400732479.435597456711661860556
22 × 11 × 563 × 24118226693923
2016-03-0856324118226693923179,04038,05471,074

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.637%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.534%
2002-03-10ANONYMOUSv4_computers8192819200--0.00217.314%
2002-05-05ANONYMOUSv4_computers163841638400--0.00320.059%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.763%
2002-10-19ANONYMOUSv4_computers65536655360012--0.01225.419%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02428.018%
2011-07-19JossManual testing326277326277--0.00916.613%
2012-02-17JossManual testing543795543795--0.01618.194%
2012-08-29JossManual testing13676621367662--0.04021.034%
2013-10-21David Campeaui5-2500k13950004464000012--0.09233.034%
2015-11-25Sid & AndyBullseye683831020514930012--0.43537.936%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-02-09ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.014
2001-12-22ANONYMOUSv4_computers212570.028
2003-10-08ANONYMOUSv4_computers212580.056
2008-10-17Sturle Sundegraun.ifi2582590.056
2008-10-17Sturle Sundegraun.ifi2592600.112
2010-08-09Architects Cubedm1_f22602610.225
2015-05-20lycornManual testing2612620.449
2015-10-31Gordon SpenceManual testing2622631.436
2015-10-31Gordon SpenceManual testing2632642.871


ECM factoring results:
Total ECM effort:11.258 GHz-days
Estimated T-Level:25.666
DigitsB1CompleteFacMiss
201100014.2980.000%
25500001.59820.233%
302500000.13387.523%
3510000000.00999.093%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002585.474
25000025000000444.952
25000012899251030.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing504ED0C2F2BB22EE0.014


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
817118841184883531740073
887B201A58D6D83B
2017-10-13Oliver KruseThreadripper-PC
817118841184883531740073
887B201A58D6D83B
2017-12-15ATHec2-1xh
817118841184883531740073
887B201A58D6D83B
2020-04-20Oliver KruseAddPrpType5
817118841184883531740073
7EEED6479A083A9B


CERT results:
No CERT results for M683831


P-1 factor-bounds graph:
B1 = 6838310, B2 = 205149300 (P-1 stage 2)
B1 = 6838310 (P-1 stage 1)
B1 = 1395000, B2 = 44640000 (P-1 stage 2)
B1 = 1395000 (P-1 stage 1)
B1 = 1367662 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 543795 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 326277 (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 = 65536 (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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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.67 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00