is 2 584951 - 1
has 176088 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26750.797370.1493%1500000500000000.08766.2044%50.884972.0013%1.8520%
PrimeNet2400.000050.0000%55002000000.000320.0589%0.000360.0295%10.0295%
GPU722440.000054.5455%100003400000.000615.2438%0.000661.4745%6.9290%
Difference+23+50.7973+15.6038%+1490000+49660000+0.0870-9.0395%+50.8843+10.5268%+10.5268%

Known prime factors (1 factor, 58.4 bits, 0.00998652% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5849513846264976444261431858.416328768134121
7 × 46966876303
2007-08-217469668763030.117754.110101.06

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.558%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.197%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.807%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.558%
2003-05-26T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.436%
unknown150000050000000---0.088--6.204%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:28:01LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.016--
2002-01-08T00:00:00ANONYMOUSv4_computers21257--0.033--
2003-11-17T00:00:00ANONYMOUSv4_computers21258--0.066--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.372 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.372 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.8080.000%
25500003.1354.351%
302500000.30074.050%
3510000000.02397.711%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002814.560
25000025000000443.570
250000350000001009.242


Lucas-Lehmer results:
No L-L results for M584951


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:44:07Oliver KruseGTX-2
384626497644426143
5401C691FA8E94__no
2017-09-28T09:43:34Oliver KruseManual testing
384626497644426143
5401C691FA8E94__no
2017-11-08T05:21:06kkmrkkblmbrbkc4.xlarge
384626497644426143
5401C691FA8E94__no
2020-04-19T10:34:42Oliver KruseAddPrpType5
384626497644426143
C413B0B4479790__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T08:28:01+00:00