is 2 248051 - 1
has 74671 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-L5903B1F83EEB9BF0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267119.789573.1343%26400000028797316247701,278.551924.2051%1,398.341579.6372%6.5029%
PrimeNet2400.000055.0000%2600700000.000114.1898%0.000161.3854%6.3854%
GPU722440.000059.0909%45001100000.000110.1480%0.000163.2424%4.1514%
Difference+23+119.7895+14.0434%+263995500+2879731514770+1,278.5519+14.0571%+1,398.3414+16.3948%+2.3514%

Known prime factors:
No known factors for M248051

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.241%
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.709%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.550%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.230%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.039%
2003-11-08T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.963%
2011-02-07T22:22:00Jocelyn LaroucheManual testing20000002000000---0.016--2.598%
2011-07-24T13:13:00Jocelyn LaroucheManual testing20252012025201---0.016--2.610%
2012-02-26T15:17:00Jocelyn LaroucheManual testing25315012531501---0.021--2.826%
2014-10-14T23:18:00henryzzManual testing300000060000000---0.050--6.212%
2014-12-24T15:50:00thelegendarymudkipi5-4670k10000000250000000---0.188--8.537%
2016-05-13T23:04:25mognutsManual testing277469350---5.20812e-5--0.136%
2021-12-04T23:10:46Seth_TrManual testing120000000120000000---0.976--7.896%
2021-12-05T07:43:19Seth_TrManual testing12000000057783635910---26.54--17.816%
2022-05-31T20:02:00Sid & AndyManual testing2640000002879731624770---1,279--24.205%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:45:15LordJuliusManual testing254255--0.010--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.039--
2002-04-14T00:00:00ANONYMOUSv4_computers21257--0.077--
2016-02-23T16:28:05Mark RoseManual testing257258--0.077--
2009-01-01T10:25:00Sturle Sundegimo.ifi258259--0.155--
2009-01-25T18:33:00Sturle Sundekinner.ifi259260--0.310--
2013-07-18T19:55:00lycornasteroid260261--0.619--
2015-07-26T02:33:00snme2pm1Manual testing261262--1.238--
2016-01-25T21:30:05Gordon SpenceManual testing262263--3.957--
2016-01-25T21:30:05Gordon SpenceManual testing263264--7.915--
2018-03-12T23:21:48Gordon SpenceManual testing264265--15.06--
2019-12-31T11:18:04Gordon SpenceManual testing265266--30.13--


ECM factoring results:
Total ECM effort:19.168 GHz-days
Estimated T-Level:29.863
DigitsB1CompleteFacMiss
201100064.1290.000%
25500009.2470.010%
302500000.97337.807%
3510000000.08092.317%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002871.715
2500002500000058417.45


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:39:15MadPooManual testing5903B1F83EEB9BF00.001


PRP results:
No PRP results for M248051


P-1 factor-bounds graph:
B1 = 264000000, B2 = 2879731624770 (P-1 stage 2)
B1 = 120000000, B2 = 57783635910 (P-1 stage 2)
B1 = 264000000 (P-1 stage 1)
B1 = 120000000 (P-1 stage 1)
B1 = 10000000, B2 = 250000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 3000000, B2 = 60000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2531501 (P-1 stage 1)
B1 = 2025201 (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 = 100000, B2 = 4000000 (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)
B1 = 2774, B2 = 69350 (P-1 stage 2)
B1 = 2774 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-31T20:02:00+00:00