is 2 260461 - 1
has 78407 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDEB30519E6DEAA68double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267114.082073.1343%388571047771420800.783610.7690%114.865676.0275%2.8932%
PrimeNet2400.000055.0000%2800700000.000114.4063%0.000161.4828%6.4828%
GPU722440.000059.0909%50001200000.000110.5548%0.000163.4088%4.3179%
Difference+23+114.0820+14.0434%+38852104+777022080+0.7834+0.2142%+114.8655+12.6187%+12.6187%

Known prime factors:
No known factors for M260461

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-01-14T00:00:00ANONYMOUSv4_computers950003800000---0.003--2.206%
2001-06-17T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.729%
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--3.989%
2011-02-11T22:33:00Jocelyn LaroucheManual testing20000002000000---0.020--2.615%
2012-02-26T15:18:00Jocelyn LaroucheManual testing23762272376227---0.024--2.781%
2013-10-21T13:20:00David Campeaui5-2500k240500081770000---0.067--6.461%
2016-01-15T13:07:22Jocelyn LaroucheManual testing3885710438857104012---0.574--9.731%
2016-07-12T20:29:04Jocelyn LaroucheManual testing3885710477714208012---0.784--10.769%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T05:52:32LordJuliusManual testing254255--0.009--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.037--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.074--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.147--
2009-01-01T21:51:00Sturle Sundegouache.ifi258259--0.147--
2009-01-30T05:31:00Sturle Sundegooch.ifi259260--0.295--
2013-07-13T14:27:00lycornasteroid260261--0.590--
2015-08-25T13:23:00NRManual testing261262--1.179--
2015-12-26T00:10:34Gordon SpenceManual testing262263--3.769--
2015-12-26T00:10:34Gordon SpenceManual testing263264--7.538--
2018-03-18T14:58:19Gordon SpenceManual testing264265--14.35--
2020-01-02T22:39:46Gordon SpenceManual testing265266--28.69--


ECM factoring results:

Old Calculation Method

Total ECM effort:23.454 GHz-days
Estimated T-Level:29.594
DigitsB1CurvesCompleteFacMiss
2011000865 / 1008.6500.017%
2550000865 / 2803.0894.528%
30250000588 / 6400.91939.873%

New Calculation Method

Total ECM effort:23.454 GHz-days
Estimated T-Level:29.594
DigitsB1CompleteFacMiss
201100057.9350.000%
25500007.8920.037%
302500000.81444.292%
3510000000.06693.623%
4030000000.00499.566%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002772.020
2500002500000058821.43


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:38:57MadPooManual testingDEB30519E6DEAA680.002


PRP results:
No PRP results for M260461


P-1 factor-bounds graph:
B1 = 38857104, B2 = 777142080 (P-1 stage 2)
B1 = 38857104, B2 = 388571040 (P-1 stage 2)
B1 = 38857104 (P-1 stage 1)
B1 = 2405000, B2 = 81770000 (P-1 stage 2)
B1 = 2405000 (P-1 stage 1)
B1 = 2376227 (P-1 stage 1)
B1 = 2000000 (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 = 95000, B2 = 3800000 (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 = 95000 (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: 2022-03-07T05:52:32+00:00