is 2 770839 - 1
has 232046 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-L9237609CCC075A43double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26738.547570.1493 %77083902312517000.57599.2129 %39.123472.8994 %
Target2440.000054.5455 %1300025000000.004317.0477 %0.004362.2944 %
Difference+23+38.5475+15.6038 %+7695390+228751700+0.5716-7.8348 %+39.1191+10.6050 %

Known prime factors (1 factor, 91.7 bits, 0.01189553% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
77083940091845309134270916645860072891.6952600533010728198165677
3 × 1283 × 1483 × 455589083086831
2019-02-191483455589083086831658,599,598718,8311,342,576

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.856%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.764%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.551%
2002-05-18ANONYMOUSv4_computers163841638400--0.00320.303%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00623.013%
2002-12-02ANONYMOUSv4_computers65537655370012--0.01225.672%
2003-07-13ANONYMOUSv4_computers1310721310720012--0.02428.274%
2011-07-10JossManual testing279347279347--0.00816.326%
2011-08-24JossManual testing465578465578--0.01317.911%
2011-12-10JossManual testing931156931156--0.02720.056%
2012-07-21JossManual testing15416781541678--0.04521.606%
2013-10-26David Campeaui5-2500k16850005729000012--0.13734.092%
2015-11-20Sid & AndySpeck770839023125170012--0.57638.551%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-23ANONYMOUSv4_computers212550.006
2001-03-11ANONYMOUSv4_computers212560.012
2001-12-22ANONYMOUSv4_computers212570.025
2003-09-29ANONYMOUSv4_computers212580.050
2008-10-11Sturle Sundegoober.ifi2582600.149
2010-06-15Architects Cubedm1_tt2602610.199
2015-03-06NRManual testing2612620.399
2015-10-22Gordon SpenceManual testing2622643.820
2016-03-19lycornManual testing2642654.847
2018-03-02Smok_bmvManual testing2652669.69


ECM factoring results:
Total ECM effort:11.501 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.228
5000050000002806.267
25000025000000445.007


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-26ANONYMOUSv4_computers9237609CCC075A430.015
2015-04-11MadPooManual testing9237609CCC075A430.015


PRP results:
dateuseridcompidcofactorsres64
2019-02-20artorollofourth
4009184530913427091664586007
8A5B1E88DD5C997F
2019-02-22arnaudstm-11-010
4009184530913427091664586007
8A5B1E88DD5C997F


CERT results:
No CERT results for M770839


P-1 factor-bounds graph:
B1 = 7708390, B2 = 231251700 (P-1 stage 2)
B1 = 7708390 (P-1 stage 1)
B1 = 1685000, B2 = 57290000 (P-1 stage 2)
B1 = 1685000 (P-1 stage 1)
B1 = 1541678 (P-1 stage 1)
B1 = 931156 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 465578 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 279347 (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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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00