is 2 914867 - 1
has 275403 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4D0792836F6B7E04double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26732.478970.1493%1000000300000000.09075.7283%32.569771.8592%1.7099%
PrimeNet2400.000050.0000%80003600000.001023.3580%0.001061.6790%11.6790%
GPU722440.000054.5455%150006000000.001618.0186%0.001762.7357%8.1903%
Difference+23+32.4789+15.6038%+985000+29400000+0.0891-12.2903%+32.5680+9.1235%+9.1235%

Known prime factors (1 factor, 70.8 bits, 0.00774365% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
91486721193392642211562257512270.8441158277249163625
3 × 53 × 3088739331103
2009-09-051253088739331103477.595,917.311,052

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-20T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.307%
2002-07-20T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.955%
2002-12-16T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.744%
2003-08-08T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.659%
2016-03-17T18:54:10alpertronManual testing20000050000006---0.016--3.271%
unknown100000030000000---0.091--5.728%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-10-06T00:00:00ANONYMOUSv4_computers21257--0.021--
2003-04-27T00:00:00ANONYMOUSv4_computers21258--0.042--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.042 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000323 / 1003.2303.892%
2550000323 / 2801.15431.486%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:14.042 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002797.851
25000025000000446.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22T00:00:00ANONYMOUSv4_computers4D0792836F6B7E040.022


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T09:02:03Oliver KruseGTX-0
2119339264221156225751
E5F1E2D4DB91C1__no
2017-10-14T20:22:02Oliver KruseGTX-1E5F1E2D4DB91C1__no
2017-12-22T05:53:45ATHec2-1xf
2119339264221156225751
E5F1E2D4DB91C1__no
2020-04-23T13:52:51Oliver KruseAddPrpType5
2119339264221156225751
D8B2B4BF0C5AFC__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 = 16384, B2 = 1638400 (P-1 stage 2)
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: 2020-10-30T10:27:25+00:00