is 2 2074981 - 1
has 624632 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB4D65EE09683C1A7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.320168.6567 %6000006432589803.39539.1451 %17.715471.5231 %
Target2620.296166.1290 %90006500000.00421.3670 %0.300366.5921 %
Difference+5+14.0240+2.5277 %+591000+642608980+3.3911+7.7781%+17.4152+4.9310 %

Known prime factors (2 factors, 144.5 bits, 0.00696270% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20749812516489790454987059592167.77060638863451159
7 × 942439 × 9191783
2022-11-20942439919178314.3200.13270.1829
20749811231488044078969694963132476.70529674682420681676
22 × 3 × 7 × 353270028817639
2016-02-1973532700288176397,375.51,834,9733,427,218

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-27ANONYMOUSv4_computers204820480012--0.0010.768%
2009-07-25USAFSSP4_260020000260000--0.0032.108%
2010-12-26JossManual testing3000030000--0.0030.926%
2011-01-07JossManual testing5000050000--0.0051.262%
2011-01-20James HeinrichQ660013500030712506--0.0285.331%
2014-11-06JossManual testing165932165932--0.0162.308%
2015-01-29JossManual testing207415207415--0.0202.542%
2015-01-30JossManual testing228156228156--0.0222.646%
2015-01-31JossManual testing250971250971--0.0242.752%
2015-02-11JossManual testing404189404189--0.0393.316%
2015-02-14JossManual testing537973537973--0.0513.681%
2015-02-16JossManual testing591770591770--0.0563.807%
2015-02-25JossManual testing650947650947--0.0623.935%
2015-03-03JossManual testing716041716041--0.0684.065%
2015-03-12JossManual testing787645787645--0.0754.197%
2015-03-15JossManual testing866409866409--0.0834.331%
2015-04-08JossManual testing11531881153188--0.1104.746%
2015-05-01JossManual testing13953561395356--0.1335.033%
2015-05-22JossManual testing15348911534891--0.1465.179%
2015-05-26JossManual testing16883801688380--0.1615.327%
2015-06-08JossManual testing18572181857218--0.1775.477%
2015-06-25JossManual testing20429392042939--0.1955.629%
2015-07-07JossManual testing22472322247232--0.2145.782%
2022-08-25USAFSS6917th_Scty_Sq600000643258980--3.48913.618%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-10ANONYMOUSv4_computers212580.019
2016-02-23Mark RoseManual testing2582600.056
2009-01-02Sturle Sundehomilius.ifi2602610.074
2012-03-16Sebastian HornbostelManual testing2612620.148
2013-09-01ramgeisManual testing2622630.473
2015-03-28VictordeHollanderManual testing2632640.946
2015-03-28VictordeHollanderManual testing2642651.801
2015-11-05ramgeisManual testing2652663.601


ECM factoring results:
Total ECM effort:13.393 GHz-days
Estimated T-Level:22.173
DigitsB1CompleteFacMiss
20110004.5781.027%
25500000.43564.755%
302500000.02897.253%
3510000000.00199.868%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.394
50000500000030.255
50000500000030.255
50000639584370.662
50000650760370.668
50000699477570.691
50000700000070.692
5000018092760508.776


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computersB4D65EE09683C1A70.136


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-1
123148804407896969496313
F951D1E6851AE01E
2017-11-16kkmrkkblmbrbkc4.xlarge
123148804407896969496313
F951D1E6851AE01E
2022-11-23LordJuliusWhitebox
251648979045498705959
123148804407896969496313
DE756A05DC8219CE


CERT results:
dateuseridcompid
2022-11-23lozcsBHXCONF1


P-1 factor-bounds graph:
B1 = 600000, B2 = 643258980 (P-1 stage 2)
B1 = 2247232 (P-1 stage 1)
B1 = 2042939 (P-1 stage 1)
B1 = 1857218 (P-1 stage 1)
B1 = 1688380 (P-1 stage 1)
B1 = 1534891 (P-1 stage 1)
B1 = 1395356 (P-1 stage 1)
B1 = 1153188 (P-1 stage 1)
B1 = 866409 (P-1 stage 1)
B1 = 787645 (P-1 stage 1)
B1 = 716041 (P-1 stage 1)
B1 = 650947 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 591770 (P-1 stage 1)
B1 = 537973 (P-1 stage 1)
B1 = 404189 (P-1 stage 1)
B1 = 135000, B2 = 3071250 (P-1 stage 2)
B1 = 250971 (P-1 stage 1)
B1 = 228156 (P-1 stage 1)
B1 = 207415 (P-1 stage 1)
B1 = 165932 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.17 ~= 57-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00