is 2 7766221 - 1
has 2337866 decimal digits
takes 1.777 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA85D7FFF9580C581double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.826065.6716 %9500017812500.06203.1116 %3.888066.7398 %
Target2673.826065.6716 %5000055000000.11512.4511 %3.941266.5131 %
Difference---+45000-3718750-0.0531+0.6604%-0.0531+0.2267 %

Known prime factors (1 factor, 76.1 bits, 0.00097987% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7766221809018382149672194874232376.0995208571724585691
3 × 7 × 11 × 4192219 × 5378519
2018-07-10419221953785191,970.61.41242.8308

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-04-14ANONYMOUSv4_computers40000420000--0.0201.810%
2012-08-24NesowaWork9500017812506--0.0623.112%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-09Mark Dv4_computers212610.020
1998-08-09ANONYMOUSv4_computers212620.040
1999-05-23ANONYMOUSv4_computers212630.126
2013-10-08NesowaManual testing2632640.253
2013-12-13David CampeauManual testing2642650.481
2015-06-03VictordeHollanderManual testing2652660.962
2016-09-09Gordon SpenceManual testing2662671.924


ECM factoring results:
Total ECM effort:2.088 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.044
50000500000031.044


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27ANONYMOUSv4_computersA85D7FFF9580C5811.777
2002-05-05ANONYMOUSv4_computersA85D7FFF9580C5811.777


PRP results:
dateuseridcompidcofactorsres64
2018-07-13Oliver KruseGTX-4
80901838214967219487423
FF86F6EA6AC11A5B
2019-09-25ATHec2-PRPCFDC
80901838214967219487423
FF86F6EA6AC11A5B


CERT results:
No CERT results for M7766221


P-1 factor-bounds graph:
B1 = 95000, B2 = 1781250 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 40000, B2 = 420000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
TF factor-bounds graph:
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00