is 2 717127 - 1
has 215877 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB5520D2AEF905597double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26741.434770.1493 %150000040294683006.398811.2157 %47.833573.4972 %
Target2440.000054.5455 %1200022500000.003916.5456 %0.003962.0662 %
Difference+23+41.4347+15.6038 %+1488000+4027218300+6.3949-5.3299 %+47.8296+11.4310 %

Known prime factors (1 factor, 68.8 bits, 0.00958731% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7171274974838834865584008232168.753346858982778893
13 × 17 × 1569497659633
2008-06-2317156949765963383.1162,476.44,625.2

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.724%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.625%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.408%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.156%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00622.862%
2002-11-09ANONYMOUSv4_computers65537655370012--0.01225.519%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02428.120%
2016-03-17alpertronManual testing5000001500000012---29.468%
2022-12-30USAFSS6917th_Scty_Sq15000004029468300--6.39945.356%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-15ANONYMOUSv4_computers2532540.002
2000-05-24ANONYMOUSv4_computers212550.007
2000-05-31ANONYMOUSv4_computers212550.007
2001-04-01ANONYMOUSv4_computers212560.013
2001-10-20ANONYMOUSv4_computers212570.027
2003-09-21ANONYMOUSv4_computers212580.054


ECM factoring results:
Total ECM effort:11.303 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.057
5000050000002786.273
25000025000000444.973


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-24ANONYMOUSv4_computersB5520D2AEF9055970.014


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
497483883486558400823
646FAC090F9AD56A
2017-10-13Oliver KruseThreadripper-PC
497483883486558400823
646FAC090F9AD56A
2017-12-16ATHec2-1xh
497483883486558400823
646FAC090F9AD56A
2020-04-20Oliver KruseAddPrpType5
497483883486558400823
5ECB78CF48450C1F


CERT results:
No CERT results for M717127


P-1 factor-bounds graph:
B1 = 1500000, B2 = 4029468300 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00