is 2 2779747 - 1
has 836788 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L987EA6BA28A400E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.689467.1642 %2880002264238901.41217.4950 %12.101569.6252 %
Target2630.574265.0794 %1500012000000.00891.7474 %0.583165.6896 %
Difference+4+10.1153+2.0848 %+273000+225223890+1.4031+5.7476%+11.5184+3.9357 %

Known prime factors (1 factor, 73.9 bits, 0.00265992% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2779747181076219598279042146872373.9393257062955698469
8363 × 389461073263
2016-02-148363389461073263688.142,376.44,438.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-17ANONYMOUSv4_computers2048204800--0.0010.681%
2010-11-10JossManual testing1500015000--0.0020.514%
2010-11-27markrtiny11000023925006--0.0294.601%
2023-01-27USAFSSUSAFSACS288000226423890--1.55610.683%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.055
2009-01-28Sturle Sundeghini.ifi2602610.055
2012-03-30Grant McCrackenthumper2612620.111
2013-01-14dbaughManual testing2622630.353
2015-04-21VictordeHollanderManual testing2632640.706
2015-04-21VictordeHollanderManual testing2642651.344
2015-12-20omylistManual testing2652662.688


ECM factoring results:
Total ECM effort:1.203 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110000.50060.653%
25500000.04695.479%
302500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.102
50000500000010.101


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09ANONYMOUSv4_computers987EA6BA28A400E90.215


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-0
18107621959827904214687
8B3EB7C6D744E3CD
2017-12-06kkmrkkblmbrbkc4.xlarge
18107621959827904214687
8B3EB7C6D744E3CD


CERT results:
No CERT results for M2779747


P-1 factor-bounds graph:
B1 = 288000, B2 = 226423890 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.5 ~= -8-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00