is 2 260171 - 1
has 78320 decimal digits
takes 0.002 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
Actual267114.209273.1343%30000000100358126969105,417.947323.4579%5,532.156579.4365%6.3021%
PrimeNet2400.000055.0000%2800700000.000114.4041%0.000161.4818%6.4818%
GPU722440.000059.0909%50001200000.000110.5530%0.000163.4081%4.3171%
Difference+23+114.2092+14.0434%+29995000+10035812576910+5,417.9472+12.9049%+5,532.1563+16.0284%+16.0284%

Known prime factors (1 factor, 62.9 bits, 0.02417693% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26017186138492560444936631962.90116554207148461
32 × 643 × 2860585303
2007-09-1264328605853034.04461.54422.8842

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-17T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.728%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.564%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.248%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.060%
2003-11-16T00:00:00ANONYMOUSv4_computers26214426214400---0.017--3.988%
2021-09-14T13:35:25Oliver KruseOllaptop30000000300000000024-
skipped known factor: 8613849256044493663
--1.901--12.605%
2022-05-02T11:34:51Oliver KruseThreadripper-PC3000000010035812696910-
skipped known factor: 8613849256044493663
--5,418--23.458%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T05:52:31LordJuliusManual testing254255--0.009--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.037--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.074--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.148--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.719 GHz-days
Estimated T-Level:27.008
DigitsB1CurvesCompleteFacMiss
2011000538 / 1005.3800.448%
2550000538 / 2801.92114.590%
30250000257 / 6400.40266.906%

New Calculation Method

Total ECM effort:11.719 GHz-days
Estimated T-Level:27.008
DigitsB1CompleteFacMiss
201100034.6170.000%
25500004.6830.925%
302500000.47162.449%
3510000000.03896.317%
4030000000.00299.754%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.049
250000250000002087.582
2500003649977970.294
25000036750000140.590
25000038500000281.204


Lucas-Lehmer results:
No L-L results for M260171


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T08:26:38Oliver KruseDoppelherz
8613849256044493663
D870D0F0F51CAA__no
2017-09-22T10:03:10Oliver KruseManual testing
8613849256044493663
D870D0F0F51CAA__no
2017-10-12T18:59:50kkmrkkblmbrbkc4.xlargeD870D0F0F51CAA__no
2020-04-17T20:17:20Oliver KruseAddPrpType5
8613849256044493663
596EF67FFD2E3C__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (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: 2022-07-21T16:54:50+00:00