is 2 165877 - 1
has 49934 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
Actual267179.132273.1343%10000000020000000000.975512.1650%180.107776.4025%3.2682%
PrimeNet2400.000055.0000%1800400000.000011.4184%0.000060.1383%5.1383%
GPU722440.000059.0909%3000600000.00007.7995%0.000062.2816%3.1907%
Difference+23+179.1322+14.0434%+99997000+1999940000+0.9754+4.3655%+180.1077+14.1209%+14.1209%

Known prime factors (3 factors, 217.0 bits, 0.13079036% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16587712058784362435197611960.0653634857262440
23 × 32 × 5 × 23 × 438992423
2007-08-16234389924231.13040.11460.2141
16587728410936399838292419432271.2678563856471915423
7 × 3359 × 364217942071
2014-12-1933593642179420714,843.695.111177.64
165877594303452578707458986714872685.619179139800146707337059
32 × 53 × 499 × 752615504160133
2014-12-1949975261550416013380,765,100196,537367,077

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
165877342601355580510951575277258201077053562340131.332
1658777166577180497365522778755463149054273175460744145.684
16587716884717593417970238036264105813713834599857924148156.886
16587720360916847964308237839357156673283890599473662860
0656399107881401
66216.951
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.548%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.441%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.089%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.865%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.758%
2017-04-24T23:24:55kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1205878436243519761
--0.975--12.165%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.014--
2022-03-07T04:06:55LordJuliusManual testing254255--0.014--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.058--
2002-06-15T00:00:00ANONYMOUSv4_computers21257--0.116--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.298 GHz-days
Estimated T-Level:29.633
DigitsB1CurvesCompleteFacMiss
2011000895 / 1008.9500.012%
2550000865 / 2803.0894.528%
30250000593 / 6400.92739.563%

New Calculation Method

Total ECM effort:11.298 GHz-days
Estimated T-Level:29.633
DigitsB1CompleteFacMiss
201100064.6410.000%
25500009.3320.009%
302500000.98437.396%
3510000000.08192.221%
4030000000.00599.459%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000300.023
5000050000002460.857
500005000000190.066
50000500000070.024
2500002500000059310.33


Lucas-Lehmer results:
No L-L results for M165877


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:55:50Oliver KruseDoppelherz
1205878436243519761
2841093639983829241943
59430345257870745898671487
9065C2DE59F157EEno
2017-09-22T10:01:53Oliver KruseManual testing
1205878436243519761
2841093639983829241943
59430345257870745898671487
9065C2DE59F157EEno
2017-10-12T00:27:04kkmrkkblmbrbkc4.xlarge9065C2DE59F157__no
2020-04-17T17:49:14Oliver KruseAddPrpType5
1205878436243519761
2841093639983829241943
59430345257870745898671487
A617704C2363CC__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)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T04:06:55+00:00