is 2 2257709 - 1
has 679639 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE8CA04BE1BED8CE1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.400667.6471 %1000000200000000.19405.3771 %26.594669.3867 %
Target2620.272164.5161 %120009500000.00601.7059 %0.278165.1215 %
Difference+6+26.1285+3.1309 %+988000+19050000+0.1880+3.6711%+26.3165+4.2652 %

Known prime factors (1 factor, 73.8 bits, 0.00326744% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2257709160980554683563551168392373.7693565130729504191
19 × 107 × 587 × 2987445421
2020-08-315872987445421847.2515.51828.982

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-11-06JossManual testing1500015000--0.0010.583%
2010-11-12JossManual testing3000030000--0.0030.943%
2011-01-05markrtiny10000020750006--0.0204.776%
2014-09-02JossManual testing128429128429--0.0122.083%
2016-03-26JossManual testing34214434214406--0.0496.076%
2019-06-28BigBrotherWinston10000002000000012--0.1949.165%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.051
2009-01-11Sturle Sundegluck.ifi2602610.068
2012-05-04Sebastian HornbostelManual testing2612620.136
2013-12-04LaurVManual testing2622630.435
2015-03-10VictordeHollanderManual testing2632640.870
2015-03-10VictordeHollanderManual testing2642651.655
2015-10-29ramgeisManual testing2652663.310
2017-01-15Gordon SpenceManual testing2662676.620
2017-01-15ConductorManual testing266267
2019-05-13TJAOIManual testing26726813.24


ECM factoring results:
Total ECM effort:8.364 GHz-days
Estimated T-Level:21.762
DigitsB1CompleteFacMiss
20110003.8082.220%
25500000.35270.306%
302500000.02297.802%
3510000000.00199.896%


ECM Summary

B1B2factorcurvesGHz-days
500005000000968.106
50000500000030.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01ANONYMOUSv4_computersE8CA04BE1BED8CE10.148
2018-04-24kkmrkkblmbrbkoldE8CA04BE1BED8CE10.148


PRP results:
dateuseridcompidcofactorsres64
2020-09-01mnd9printer
16098055468356355116839
039AB9F52654090E
2020-09-01kutensrigel
16098055468356355116839
039AB9F52654090E


CERT results:
No CERT results for M2257709


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128429 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.76 ~= 56-bit
250
260
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280
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Last modified: 2024-02-29T14:28:04+00:00