is 2 866653 - 1
has 260889 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L50A7B0992DFB97C4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26734.285870.1493 %131072131072000.02953.6316 %34.315371.2333 %
Target2440.000054.5455 %1400027500000.005717.6062 %0.005762.5483 %
Difference+23+34.2858+15.6038 %+117072+10357200+0.0237-13.9747 %+34.3096+8.6850 %

Known prime factors (2 factors, 159.1 bits, 0.01835873% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
866653635313453312036054475692375.75036653277223527528
23 × 3 × 79 × 643 × 1549 × 19409399
2010-01-271549194093998,829.30.03720.0694
866653123830089041793535527397772683.3577144156256413670496
25 × 32 × 149 × 2297 × 72478833239
2019-11-112297724788332392,260,344138.85259.34

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.072%
2002-02-17ANONYMOUSv4_computers4096409600--0.00114.991%
2002-04-14ANONYMOUSv4_computers8192819200--0.00217.785%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.544%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00723.258%
2002-12-16ANONYMOUSv4_computers65537655370012--0.01525.920%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.525%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-24ANONYMOUSv4_computers212550.006
2000-12-31ANONYMOUSv4_computers212560.011
2001-12-01ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.044
2022-03-07LordJuliusManual testing258259
2004-05-11Sturle Sundev4_computers212600.089


ECM factoring results:
Total ECM effort:13.910 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002797.710
25000025000000273.776
25000025000000172.377


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computers50A7B0992DFB97C40.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
63531345331203605447569
709D8C6835857219
2017-10-14Oliver KruseGTX-1
63531345331203605447569
709D8C6835857219
2017-12-20ATHxps
63531345331203605447569
709D8C6835857219
2019-11-12mnd975204b
63531345331203605447569
12383008904179353552739777
B1D0FFE342CF3B96
2019-11-12ATHec2-PRPCFDC
63531345331203605447569
12383008904179353552739777
B1D0FFE342CF3B96


CERT results:
No CERT results for M866653


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
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)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00