is 2 167593 - 1
has 50451 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-L4FEED9E260FB2E1Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267177.298173.1343%10000000020000000000.975512.1741%178.273676.4050%3.2707%
PrimeNet2400.000055.0000%1800400000.000011.4375%0.000060.1469%5.1469%
GPU722440.000059.0909%3000600000.00007.8137%0.000062.2874%3.1965%
Difference+23+177.2981+14.0434%+99997000+1999940000+0.9754+4.3604%+178.2735+14.1176%+14.1176%

Known prime factors (2 factors, 181.5 bits, 0.10831374% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1675937470477300094368626047346392789.2712228755765483751894783
1109 × 2009698616306358787
2014-12-1211092009698616306358787936,386,398524,810,464980,199,796
16759359087911978705537148838801372892.25517628394974344255771076
22 × 3 × 11 × 19 × 85147 × 2540743 × 32490407
2009-01-162540743324904078.207e+90.02000.0248

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
16759344141490514689384372414396911795124023778222755679
65543
55181.526
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.552%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.444%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.093%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.870%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.763%
2017-05-18T04:18:49kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 5908791197870553714883880137
--0.975--12.174%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.014--
2022-03-07T04:07:08LordJuliusManual testing254255--0.014--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.057--
2002-06-09T00:00:00ANONYMOUSv4_computers21257--0.115--
2022-03-07T04:07:08LordJuliusManual testing257258--0.115--
2009-01-01T16:29:00Sturle Sundeherrick.ifi258259--0.229--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.985 GHz-days
Estimated T-Level:29.492
DigitsB1CurvesCompleteFacMiss
2011000853 / 1008.5300.019%
2550000853 / 2803.0464.727%
30250000575 / 6400.89840.692%

New Calculation Method

Total ECM effort:10.985 GHz-days
Estimated T-Level:29.492
DigitsB1CompleteFacMiss
201100062.9650.000%
25500009.0880.011%
302500000.95738.418%
3510000000.07992.435%
4030000000.00599.475%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002300.801
500005000000480.167
2500002500000057510.02


Lucas-Lehmer results:
No L-L results for M167593


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T00:01:03Oliver KruseDoppelherz
747047730009436862604734639
5908791197870553714883880137
1F74014F7DC9802Eno
2017-09-22T10:01:55Oliver KruseManual testing
747047730009436862604734639
5908791197870553714883880137
1F74014F7DC9802Eno
2017-10-12T00:43:18kkmrkkblmbrbkc4.xlarge1F74014F7DC980__no
2020-04-17T17:51:03Oliver KruseAddPrpType5
747047730009436862604734639
5908791197870553714883880137
E02E4F4EFB2251__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:
267
259
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254
253
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2100
Last modified: 2022-03-07T04:07:08+00:00