is 2 209533 - 1
has 63076 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2089BEDF03DE68__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267141.810273.1343%30000000100708329922203,668.770323.1848%3,810.580579.3631%6.2288%
PrimeNet2400.000055.0000%2200550000.000012.9717%0.000060.8373%5.8373%
GPU722440.000059.0909%4000900000.00019.3156%0.000162.9019%3.8109%
Difference+23+141.8102+14.0434%+29996000+10070832902220+3,668.7703+13.8692%+3,810.5805+16.4612%+16.4612%

Known prime factors (1 factor, 65.3 bits, 0.03117764% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
209533462935703743027464872065.327110468447390871
32 × 139 × 88304114621
2008-01-111398830411462158.83432.16760.079

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.640%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.504%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.170%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.965%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.876%
2021-05-14T01:23:53Oliver KruseOllaptop300000003000000000---1.282--12.402%
2022-02-16T06:20:01Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 46293570374302746487
--3,669--23.185%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:09:13LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.046--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.046--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.092--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.447 GHz-days
Estimated T-Level:28.172
DigitsB1CurvesCompleteFacMiss
2011000682 / 1006.8200.105%
2550000682 / 2802.4368.715%
30250000406 / 6400.63453.000%

New Calculation Method

Total ECM effort:11.447 GHz-days
Estimated T-Level:28.172
DigitsB1CompleteFacMiss
201100047.9060.000%
25500006.7530.117%
302500000.70049.650%
3510000000.05794.459%
4030000000.00499.622%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.349
250000250000003578.723
2500002825000070.178
25000036000000140.392
2500003800000070.200
2500003842821170.201
25000038500000140.403


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25T00:00:00ANONYMOUSv4_computers2089BEDF03DE68__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:56:26Oliver KruseOllaptop
46293570374302746487
F8BD0EDE44A246__no
2017-09-22T10:03:19Oliver KruseManual testing
46293570374302746487
F8BD0EDE44A246__no
2017-10-12T08:46:02kkmrkkblmbrbkc4.xlargeF8BD0EDE44A246__no
2020-04-17T19:13:23Oliver KruseAddPrpType5
46293570374302746487
C236F042AC4F05__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
267
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Last modified: 2022-07-22T13:11:23+00:00