is 2 2991277 - 1
has 900465 decimal digits
takes 0.255 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3515679F8B79B920double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.926267.6471 %3000000900000000.95527.8882 %20.881470.1991 %
Target2641.189965.6250 %1300010000000.00821.3861 %1.198166.1015 %
Difference+4+18.7363+2.0221 %+2987000+89000000+0.9470+6.5021%+19.6833+4.0977 %

Known prime factors (1 factor, 72.8 bits, 0.00243375% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
299127782224941104784989550632272.8001374412017088103
7 × 196344573869729
2020-09-177196344573869729319.711,320,1772,465,724

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13ANONYMOUSv4_computers2048204800--0.0020.568%
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.313%
2010-10-22markrtiny11000023925006--0.0294.165%
2016-09-13JossManual testing14200026317506--0.0344.408%
2016-09-21JossManual testing1420002894925--0.0364.499%
2016-09-21JossManual testing1420003184417--0.0384.590%
2016-10-10JossManual testing1420001420000012--0.1126.054%
2016-12-15JossManual testing170400170400---1.925%
2016-12-23JossManual testing204480204480---2.092%
2017-02-25JossManual testing29445129445106---4.915%
2017-03-23JossManual testing35334135334106---5.205%
2017-03-28JossManual testing42400942400906---5.503%
2017-03-29JossManual testing50881050881006---5.809%
2017-04-01JossManual testing61057261057206--0.1126.121%
2019-11-30BigBrotherWinston30000009000000012--0.95510.790%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-06-06ANONYMOUSv4_computers212600.026
2009-02-14Sturle Sundeothello.ifi2602610.051
2011-11-24Sebastian HornbostelManual testing2612620.103
2013-01-07dbaughManual testing2622630.328
2015-02-05lycornManual testing2632640.656
2015-02-05lycornManual testing2642651.249
2016-02-24ramgeisManual testing2652662.498
2017-12-07Gordon SpenceManual testing2662674.996
2018-12-28chuenkitManual testing2672689.99


ECM factoring results:
Total ECM effort:1.984 GHz-days
Estimated T-Level:3.462
DigitsB1CompleteFacMiss
20110000.69250.042%
25500000.06493.795%
302500000.00499.597%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.635
50000500000030.348


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12ANONYMOUSv4_computers3515679F8B79B9200.255
1999-06-06ANONYMOUSv4_computers3515679F8B79B9200.255
2018-10-22kkmrkkblmbrbkold3515679F8B79B9200.255


PRP results:
dateuseridcompidcofactorsres64
2020-09-18mrhw
8222494110478498955063
8620C4DD35174D54


CERT results:
dateuseridcompid
2020-09-18S01103Office2


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 610572, B2 = 6105720 (P-1 stage 2)
B1 = 142000, B2 = 14200000 (P-1 stage 2)
B1 = 508810, B2 = 5088100 (P-1 stage 2)
B1 = 424009, B2 = 4240090 (P-1 stage 2)
B1 = 610572 (P-1 stage 1)
B1 = 353341, B2 = 3533410 (P-1 stage 2)
B1 = 508810 (P-1 stage 1)
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 424009 (P-1 stage 1)
B1 = 353341 (P-1 stage 1)
B1 = 142000, B2 = 3184417 (P-1 stage 2)
B1 = 294451 (P-1 stage 1)
B1 = 142000, B2 = 2894925 (P-1 stage 2)
B1 = 142000, B2 = 2631750 (P-1 stage 2)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 170400 (P-1 stage 1)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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100
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1010
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TF factor-bounds graph:
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267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=3.46 ~= -5-bit
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Last modified: 2024-02-09T03:30:02+00:00