is 2 798757 - 1
has 240450 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA0FFF190A782FA74double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26737.200270.1493 %131072131072000.02433.5902 %37.224571.2210 %
Target2440.000054.5455 %1300025000000.004317.1156 %0.004362.3253 %
Difference+23+37.2002+15.6038 %+118072+10607200+0.0200-13.5253 %+37.2202+8.8957 %

Known prime factors (1 factor, 71.5 bits, 0.00894593% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
79875732393775150991957094172271.4562027761581494244
22 × 3 × 37 × 4567030588951
2010-03-08374567030588951598.537,205.913,459

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00011.921%
2002-02-10ANONYMOUSv4_computers4096409600--0.00114.833%
2002-03-31ANONYMOUSv4_computers8192819200--0.00217.622%
2002-05-25ANONYMOUSv4_computers163841638400--0.00320.376%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00623.087%
2002-12-16ANONYMOUSv4_computers65537655370012--0.01225.747%
2003-07-30ANONYMOUSv4_computers1310721310720012--0.02428.350%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-10-15ANONYMOUSv4_computers212550.006
2001-02-04ANONYMOUSv4_computers212560.012
2001-12-01ANONYMOUSv4_computers212570.024
2003-09-14ANONYMOUSv4_computers212580.048
2008-10-12Sturle Sundeothello.ifi2582590.048
2008-10-12Sturle Sundeothello.ifi2592600.096


ECM factoring results:
Total ECM effort:11.350 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
5000050000002796.287
25000025000000445.025


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-24ANONYMOUSv4_computersA0FFF190A782FA740.016


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
3239377515099195709417
54BF6EEFA962E174
2017-10-14kkmrkkblmbrbkc4.xlarge
3239377515099195709417
54BF6EEFA962E174
2020-04-21Oliver KruseAddPrpType5
3239377515099195709417
D537652632EF4C15


CERT results:
No CERT results for M798757


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)
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1010
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TF factor-bounds graph:
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259
258
257
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255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00