is 2 2824417 - 1
has 850235 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L799FB8F2023EDE27double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.520467.1642 %3600002873801701.79167.9993 %12.312069.7908 %
Target2630.565165.0794 %1600013000000.00961.8259 %0.574765.7170 %
Difference+4+9.9553+2.0848 %+344000+286080170+1.7820+6.1734%+11.7373+4.0738 %

Known prime factors (1 factor, 77.8 bits, 0.00275281% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28244172543084150444728716124872477.75145019629722606979
3 × 11 × 2221 × 614241874703
2016-02-17222161424187470310,8373,747.97,000.0

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.683%
2023-01-30USAFSS6917th_Scty_Sq360000287380170--1.97411.283%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.054
2009-02-14Sturle Sundefoster.ifi2602610.054
2012-02-18Grant McCrackenthumper2612620.109
2013-01-10dbaughManual testing2622630.348
2015-04-21VictordeHollanderManual testing2632640.695
2015-04-21VictordeHollanderManual testing2642651.323
2016-02-13ramgeisManual testing2652662.646


ECM factoring results:
Total ECM effort:1.312 GHz-days
Estimated T-Level:2.692
DigitsB1CompleteFacMiss
20110000.53858.365%
25500000.05095.140%
302500000.00399.686%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.103
50000500000020.209


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27Phantomasv4_computers799FB8F2023EDE270.218


PRP results:
dateuseridcompidcofactorsres64
2017-10-22Oliver KruseGTX-3
254308415044472871612487
3AD94967E493715A
2017-12-07kkmrkkblmbrbkc4.xlarge
254308415044472871612487
3AD94967E493715A


CERT results:
No CERT results for M2824417


P-1 factor-bounds graph:
B1 = 360000, B2 = 287380170 (P-1 stage 2)
B1 = 360000 (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=2.69 ~= -8-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00