is 2 2748371 - 1
has 827343 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCE8C1D68FD0189A9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.811567.1642 %2880002264238901.41217.4853 %12.223569.6220 %
Target2630.580765.0794 %1400012000000.00881.7089 %0.589565.6761 %
Difference+4+10.2308+2.0848 %+274000+225223890+1.4033+5.7764%+11.6340+3.9459 %

Known prime factors (1 factor, 65.9 bits, 0.00239922% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2748371707484206792848752972065.93912870973511088
24 × 3 × 7 × 11 × 379 × 9188407
2010-09-0737991884072.65460.05610.1047

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers500001500000--0.0143.649%
2002-01-02ANONYMOUSv4_computers20000240000--0.0041.883%
2023-01-27USAFSS6917th_Scty_Sq288000226423890
skipped known factor: 70748420679284875297
--1.55610.670%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-27Sturle Sundegorky.ifi2602610.056


ECM factoring results:
Total ECM effort:0.404 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.162
50000500000030.243


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23ANONYMOUSv4_computers61C1EF74DB60EF1B0.212
2000-03-22David Campeauv4_computersCE8C1D68FD0189A90.212


PRP results:
dateuseridcompidcofactorsres64
2017-10-20Oliver KruseGTX-1
70748420679284875297
5CEA219042A32C6F
2017-12-05kkmrkkblmbrbkc4.xlarge
70748420679284875297
5CEA219042A32C6F


CERT results:
No CERT results for M2748371


P-1 factor-bounds graph:
B1 = 288000, B2 = 226423890 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
B1 = 50000, B2 = 1500000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00