is 2 1283297 - 1
has 386311 decimal digits
takes 0.041 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC8AE3575D271CBFDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26723.154468.6567 %6400008943616502.26729.1194 %25.421571.5150 %
Target2600.119765.0000 %55001800000.00070.9322 %0.120465.3263 %
Difference+7+23.0347+3.6567 %+634500+894181650+2.2665+8.1873%+25.3012+6.1888 %

Known prime factors (3 factors, 201.9 bits, 0.01573317% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1283297168831112654545179692063.8726578021792872
23 × 1367 × 601501627
2007-11-1513676015016272.59211.50612.8129
12832975678786534668603669912168.944221257687607335
5 × 44251537521467
2018-01-2654425153752146787.536110,800206,943
12832976269581989166625454232169.087244276344025063
7 × 34896620575009
2018-01-26734896620575009176.1887,376163,195

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24ANONYMOUSv4_computers204820480012--0.0011.000%
2024-02-23USAFSS6917th_Scty_Sq640000894361650
skipped known factor: 16883111265454517969
--2.26715.713%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-27ANONYMOUSv4_computers212560.007
2001-11-03ANONYMOUSv4_computers212570.015
2003-06-06ANONYMOUSv4_computers212580.030


ECM factoring results:
Total ECM effort:20.771 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
10.030
5000050000001475.660
500005000000903.465
500005000000140.539
250000350000005011.08


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-24ANONYMOUSv4_computersC8AE3575D271CBFD0.041


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
16883111265454517969
114EA1D2A00C6BA3
2017-10-22kkmrkkblmbrbkc4.xlarge
16883111265454517969
114EA1D2A00C6BA3
2018-01-27ANONYMOUSdory
16883111265454517969
567878653466860366991
626958198916662545423
C67A0A7C3036BAB6
2018-01-29Oliver KruseGTX-0
16883111265454517969
567878653466860366991
626958198916662545423
C67A0A7C3036BAB6


CERT results:
No CERT results for M1283297


P-1 factor-bounds graph:
B1 = 640000, B2 = 894361650 (P-1 stage 2)
B1 = 640000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00