is 2 773063 - 1
has 232716 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-LBE877AD1BD37396Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26738.436670.1493 %100000004615965783073.104816.5196 %111.541475.0805 %
Target2440.000054.5455 %1300025000000.004317.0532 %0.004362.2969 %
Difference+23+38.4366+15.6038 %+9987000+46157157830+73.1005-0.5336 %+111.5371+12.7836 %

Known prime factors (2 factors, 152.2 bits, 0.01968853% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
773063123210380627680949643192373.3847968974108687193
3 × 7 × 25667 × 14784546599
2010-12-0425667147845465992,474.423.32843.569
7730635340083138859416703285592478.821345384731830356433
345384731830356433
2019-02-01134538473183035643379,187544,949,9491.018e+9

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.861%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.770%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.557%
2002-05-18ANONYMOUSv4_computers163841638400--0.00320.309%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00623.019%
2002-12-02ANONYMOUSv4_computers65537655370012--0.01225.678%
2003-07-13ANONYMOUSv4_computers1310721310720012--0.02428.280%
2023-09-28gLaussManual testing1000000046159657830
skipped known factor: 12321038062768094964319
--88.7653.144%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-09-28gLaussManual testing500000019000000027--0.506


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-29ANONYMOUSv4_computers212550.006
2001-02-25ANONYMOUSv4_computers212560.012
2001-12-22ANONYMOUSv4_computers212570.025
2003-10-08ANONYMOUSv4_computers212580.050
2008-10-12Sturle Sundegoober.ifi2582590.050
2008-10-12Sturle Sundegoober.ifi2592600.099
2010-06-23Architects Cubedm1_f22602610.199


ECM factoring results:
Total ECM effort:11.299 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002796.245
2500002500000020.228
25000025000000424.781


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-26ANONYMOUSv4_computersBE877AD1BD37396B0.015


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
12321038062768094964319
A571C73F92A67670
2017-10-13Oliver KruseThreadripper-PC
12321038062768094964319
A571C73F92A67670
2017-12-17ATHec2-1xh
12321038062768094964319
A571C73F92A67670
2019-02-01ATHec2-PRPCF
12321038062768094964319
534008313885941670328559
6C25F8AB562D4F15
2019-02-02kkmrkkblmbrbkc5.large
12321038062768094964319
534008313885941670328559
6C25F8AB562D4F15


CERT results:
No CERT results for M773063


P-1 factor-bounds graph:
B1 = 10000000, B2 = 46159657830 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (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 = 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: 2024-02-29T14:28:04+00:00