is 2 974213 - 1
has 293268 decimal digits
takes 0.024 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L60BE81826B9D0B__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26730.500470.1493%1000000300000000.09075.7691%30.591271.8714%1.7221%
PrimeNet2400.000050.0000%90004000000.001123.9844%0.001161.9922%11.9922%
GPU722440.000054.5455%160006500000.001818.4261%0.001862.9209%8.3755%
Difference+23+30.5004+15.6038%+984000+29350000+0.0889-12.6570%+30.5894+8.9504%+8.9504%

Known prime factors (1 factor, 60.7 bits, 0.00622888% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
97421318504689283808187691960.683949725023368
23 × 11 × 10792329811
2007-09-1411107923298110.295820.67538.616

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-17T00:00:00ANONYMOUSv4_computers550001200000---0.004--1.818%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.324%
2002-08-03T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.977%
2003-01-25T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.770%
2003-09-21T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.691%
2016-03-17T18:55:09alpertronManual testing20000050000006---0.016--3.299%
unknown100000030000000---0.091--5.769%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-28T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-11-05T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-11-24T00:00:00ANONYMOUSv4_computers21257--0.020--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.039--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.204 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:14.204 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002817.967
25000025000000446.237


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00Mattv4_computers60BE81826B9D0B__0.024


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:42:53Oliver KruseGTX-2
1850468928380818769
5459CE4C2CA9DC__no
2017-10-15T11:08:22Oliver KruseGTX-1
1850468928380818769
5459CE4C2CA9DC__no
2017-12-24T20:21:12ATHec2-1xf
1850468928380818769
5459CE4C2CA9DC__no
2020-04-24T15:41:37Oliver KruseAddPrpType5
1850468928380818769
CC93982319ABF2__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 55000, B2 = 1200000 (P-1 stage 2)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
100
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106
100
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1010
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TF factor-bounds graph:
267
258
257
256
255
250
260
270
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290
2100
Last modified: 2020-04-24T15:41:37+00:00