is 2 692957 - 1
has 208601 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-L702B4239C6E0CDFAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26742.879970.1493 %131072131072000.02433.5192 %42.904271.1998 %
Target2440.000054.5455 %1200022500000.003916.4810 %0.003962.0368 %
Difference+23+42.8799+15.6038 %+119072+10857200+0.0204-12.9618 %+42.9003+9.1629 %

Known prime factors (1 factor, 68.0 bits, 0.00981426% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6929572969181049501078953612168.009214239920334240
25 × 3 × 5 × 528487 × 844549
2008-04-2552848784454986.0150.01580.0311

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.661%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.560%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.340%
2002-05-05ANONYMOUSv4_computers163841638400--0.00320.086%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.791%
2002-10-26ANONYMOUSv4_computers65536655360012--0.01225.447%
2003-06-30ANONYMOUSv4_computers1310721310720012--0.02428.047%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-02-16ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.014
2001-12-22ANONYMOUSv4_computers212570.028
2003-10-08ANONYMOUSv4_computers212580.055


ECM factoring results:
Total ECM effort:11.272 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.038
5000050000002796.276
25000025000000444.958


Lucas-Lehmer results:
No L-L results for M692957


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
296918104950107895361
911199E84F18998D
2017-09-28Oliver KruseManual testing
296918104950107895361
911199E84F18998D
2017-11-08kkmrkkblmbrbkc4.large
296918104950107895361
911199E84F18998D
2020-04-20Oliver KruseAddPrpType5
296918104950107895361
B8BE7EF170CB7B81


CERT results:
No CERT results for M692957


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (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 = 65536 (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
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00