is 2 169049 - 1
has 50889 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
Actual267175.771073.1343%10000000020000000000.975512.1817%176.746576.4070%3.2727%
PrimeNet2400.000055.0000%1800400000.000011.4537%0.000060.1542%5.1542%
GPU722440.000059.0909%3000600000.00007.8256%0.000062.2923%3.2014%
Difference+23+175.7710+14.0434%+99997000+1999940000+0.9754+4.3561%+176.7465+14.1147%+14.1147%

Known prime factors (1 factor, 65.9 bits, 0.03897527% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
169049682425510275570852472065.887201842516156727
3 × 37 × 101 × 191 × 94261627		2007-09-081919426162786.4720.02460.0460

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.555%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.446%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.096%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.873%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.768%
2017-06-01T05:00:48kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 68242551027557085247
--0.975--12.182%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.014--
2022-03-07T04:07:18LordJuliusManual testing254255--0.014--
2001-01-21T00:00:00ANONYMOUSv4_computers21256--0.057--
2002-06-09T00:00:00ANONYMOUSv4_computers21257--0.114--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.938 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:10.938 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
5000050000002790.972
250000250000005729.97


Lucas-Lehmer results:
No L-L results for M169049


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T00:03:04Oliver KruseOllaptop
68242551027557085247
353C1E70BA7415__no
2017-09-22T10:04:04Oliver KruseManual testing
68242551027557085247
353C1E70BA7415__no
2017-10-12T00:56:06kkmrkkblmbrbkc4.xlarge353C1E70BA7415__no
2020-04-17T17:50:50Oliver KruseAddPrpType5
68242551027557085247
18D793B16B64AF__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)
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T04:07:18+00:00