is 2 205151 - 1
has 61757 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-L96CBCF7701AFF6__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267144.839373.1343%30000000102640764025803,739.164623.1814%3,884.003979.3622%6.2278%
PrimeNet2400.000055.0000%2200500000.000012.6935%0.000060.7121%5.7121%
GPU722440.000059.0909%3600800000.00018.9029%0.000162.7330%3.6421%
Difference+23+144.8392+14.0434%+29996400+10264076322580+3,739.1645+14.2785%+3,884.0038+16.6292%+16.6292%

Known prime factors (1 factor, 63.4 bits, 0.03091400% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
205151123434773250806955932063.42030083882908396
22 × 7520970727099
2007-09-04475209707270999.5532,739.75,117.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.632%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.498%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.163%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.956%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.865%
2021-05-10T13:34:01Oliver KruseOllaptop300000003000000000---1.282--12.382%
2022-02-08T19:20:21Oliver KruseThreadripper-PC3000000010264076402580-
skipped known factor: 12343477325080695593
--3,739--23.181%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T05:08:57LordJuliusManual testing254255--0.012--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.047--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.047--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.094--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.878 GHz-days
Estimated T-Level:28.367
DigitsB1CurvesCompleteFacMiss
2011000708 / 1007.0800.081%
2550000708 / 2802.5297.941%
30250000431 / 6400.67350.968%

New Calculation Method

Total ECM effort:11.878 GHz-days
Estimated T-Level:28.367
DigitsB1CompleteFacMiss
201100049.8360.000%
25500007.0560.086%
302500000.73248.072%
3510000000.06094.206%
4030000000.00499.604%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.353
2500002500000043110.53


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-16T00:00:00ANONYMOUSv4_computers96CBCF7701AFF6__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:35:36Oliver KruseOllaptop
12343477325080695593
111B270A906308__no
2017-09-22T10:02:59Oliver KruseManual testing
12343477325080695593
111B270A906308__no
2017-10-12T07:50:44kkmrkkblmbrbkc4.xlarge111B270A906308__no
2020-04-17T19:11:19Oliver KruseAddPrpType5
12343477325080695593
BBFAAC673AD2FF__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10264076402580 (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:
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Last modified: 2022-03-07T05:08:57+00:00