is 2 177421 - 1
has 53410 decimal digits
takes 0.001 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
Actual267167.476973.1343%10000000020000000001.360712.2245%168.837676.4185%3.2842%
PrimeNet2400.000055.0000%1900450000.000011.9166%0.000060.3625%5.3625%
GPU722440.000059.0909%3200650000.00008.1313%0.000162.4174%3.3265%
Difference+23+167.4769+14.0434%+99996800+1999935000+1.3607+4.0931%+168.8376+14.0011%+14.0011%

Known prime factors (1 factor, 67.0 bits, 0.03777374% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1774211494837894673680862012167.019421268591281100
22 × 52 × 4212685912811
2007-11-06254212685912811246.971,534.62,866.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.574%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.459%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.112%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.894%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.792%
2017-05-22T21:25:26kkmrkkblmbrbkManual testing100000000200000000012---1.361--12.224%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.014--
2022-03-07T04:25:35LordJuliusManual testing254255--0.014--
2001-01-21T00:00:00ANONYMOUSv4_computers21256--0.054--
2002-05-25T00:00:00ANONYMOUSv4_computers21257--0.108--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.275 GHz-days
Estimated T-Level:29.469
DigitsB1CurvesCompleteFacMiss
2011000851 / 1008.5100.019%
2550000851 / 2803.0394.761%
30250000572 / 6400.89440.883%

New Calculation Method

Total ECM effort:15.275 GHz-days
Estimated T-Level:29.469
DigitsB1CompleteFacMiss
201100062.7310.000%
25500009.0490.012%
302500000.95238.589%
3510000000.07892.471%
4030000000.00599.478%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002791.358
2500002500000057213.92


Lucas-Lehmer results:
No L-L results for M177421


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T00:32:36Oliver KruseOllaptop
149483789467368086201
3825AB58AB0198__no
2017-09-22T10:04:43Oliver KruseManual testing
149483789467368086201
3825AB58AB0198__no
2017-10-12T02:22:03kkmrkkblmbrbkc4.xlarge3825AB58AB0198__no
2020-04-17T17:56:44Oliver KruseAddPrpType5
149483789467368086201
B01C9CE85598CC__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (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: 2022-03-07T04:25:35+00:00