is 2 2792509 - 1
has 840629 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L024BDB5B8A60B804double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.640667.1642 %3600002873801701.79167.9892 %12.432269.7875 %
Target2630.571565.0794 %1500013000000.00951.7888 %0.581165.7040 %
Difference+4+10.0690+2.0848 %+345000+286080170+1.7821+6.2004%+11.8511+4.0835 %

Known prime factors (1 factor, 67.7 bits, 0.00242449% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27925092404058414921299170892167.70443044774697616
24 × 17 × 158252848153
2016-02-151715825284815310.641965.601,803.5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.681%
2010-11-14JossManual testing1500015000--0.0020.514%
2010-11-22markrtiny10000020750006--0.0264.406%
2014-11-03JossManual testing122984122984--0.0151.857%
2023-01-29USAFSSUSAFSACS360000287380170--1.97411.271%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-08ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.028
2009-02-13Sturle Sundegofy.ifi2602610.055
2012-03-06Grant McCrackenthumper2612620.110
2013-01-10dbaughManual testing2622630.352
2015-04-21VictordeHollanderManual testing2632640.703
2015-04-21VictordeHollanderManual testing2642651.338
2016-02-09ramgeisManual testing2652662.676


ECM factoring results:
Total ECM effort:1.446 GHz-days
Estimated T-Level:2.885
DigitsB1CompleteFacMiss
20110000.57756.162%
25500000.05394.802%
302500000.00399.664%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.142
50000500000030.304


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-19ANONYMOUSv4_computers024BDB5B8A60B8040.216
1999-07-27Ethan O'Connorv4_computers024BDB5B8A60B8040.216


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-1
240405841492129917089
7E2C0DA12C0C8CDF
2017-12-06treborLaptop
240405841492129917089
7E2C0DA12C0C8CDF


CERT results:
No CERT results for M2792509


P-1 factor-bounds graph:
B1 = 360000, B2 = 287380170 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 122984 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (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
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.88 ~= -7-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00