is 2 2752199 - 1
has 828495 decimal digits
takes 0.213 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L86196D85EC8B6AC7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.796467.1642 %2200002034162901.26457.0761 %12.060969.4877 %
Target2630.579965.0794 %1400012000000.00881.7093 %0.588765.6763 %
Difference+4+10.2165+2.0848 %+206000+202216290+1.2557+5.3668%+11.4722+3.8114 %

Known prime factors (1 factor, 73.1 bits, 0.00265656% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2752199102197359189032741881932373.1141856649159254704
24 × 43 × 241 × 66617 × 168089
2011-05-05666171680891,246.30.00810.0152

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.679%
2003-11-28Team Prime Ribv4_computers15000225000--0.0031.712%
2010-12-21JossManual testing2000020000--0.0020.635%
2011-01-02JossManual testing3000030000--0.0040.839%
2011-01-22JossManual testing5000050000--0.0061.150%
2011-05-05James HeinrichWHS2373.1140.0210.000%
2022-09-20USAFSS6917th_Scty_Sq220000203416290
skipped known factor: 10219735918903274188193
--1.39310.193%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-11ANONYMOUSv4_computers212590.014
2022-03-11LordJuliusManual testing21260
2009-02-01Sturle Sundebakeng.ifi2602610.056


ECM factoring results:
Total ECM effort:0.485 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.485


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-11ANONYMOUSv4_computers86196D85EC8B6AC70.213
1999-07-27ANONYMOUSv4_computers86196D85EC8B6AC70.213


PRP results:
dateuseridcompidcofactorsres64
2017-10-20Oliver KruseGTX-1
10219735918903274188193
E42C66E6B22444C8
2017-12-05kkmrkkblmbrbkc4.xlarge
10219735918903274188193
E42C66E6B22444C8


CERT results:
No CERT results for M2752199


P-1 factor-bounds graph:
B1 = 220000, B2 = 203416290 (P-1 stage 2)
B1 = 220000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 20000 (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
TF factor-bounds graph:
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00