is 2 248203 - 1
has 74717 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-LEFE69BA0BF86FD2Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267119.716273.1343%26400000028797316247701,278.551924.2059%1,398.268179.6374%6.5031%
PrimeNet2400.000055.0000%2600700000.000114.1911%0.000161.3860%6.3860%
GPU722440.000059.0909%45001100000.000110.1489%0.000163.2427%4.1518%
Difference+23+119.7162+14.0434%+263995500+2879731514770+1,278.5519+14.0569%+1,398.2680+16.3947%+2.3512%

Known prime factors:
No known factors for M248203

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.242%
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.709%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.551%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.231%
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 testing20235932023593---0.016--2.609%
2012-02-26T15:17:00Jocelyn LaroucheManual testing25294912529491---0.021--2.825%
2013-10-13T09:07:00David Campeaui5-2500k257500074675000---0.053--6.370%
2014-12-24T17:13:00thelegendarymudkipi5-4670k10000000250000000---0.188--8.538%
2016-05-13T23:04:26mognutsManual testing277569375---5.21000e-5--0.136%
2021-12-04T23:20:31Seth_TrManual testing120000000120000000---0.976--7.896%
2021-12-05T08:04:25Seth_TrManual testing12000000057783635910---26.54--17.817%
2022-05-29T15:55:08Sid & AndyRocky2640000002879731624770---1,279--24.206%


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--
2009-01-01T13:22:00Sturle Sundegimo.ifi258259--0.155--
2009-01-26T00:27:00Sturle Sundekinner.ifi259260--0.309--
2013-07-18T19:55:00lycornasteroid260261--0.619--
2015-08-09T03:09:00snme2pm1Manual testing261262--1.238--
2016-01-25T21:30:05Gordon SpenceManual testing262263--3.955--
2016-01-25T21:30:05Gordon SpenceManual testing263264--7.910--
2018-03-12T23:21:48Gordon SpenceManual testing264265--15.05--
2019-12-31T11:18:04Gordon SpenceManual testing265266--30.11--


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)
2016-06-01T06:38:57MadPooManual testingEFE69BA0BF86FD2E0.001


PRP results:
No PRP results for M248203


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 = 2575000, B2 = 74675000 (P-1 stage 2)
B1 = 2575000 (P-1 stage 1)
B1 = 2529491 (P-1 stage 1)
B1 = 2023593 (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 = 2775, B2 = 69375 (P-1 stage 2)
B1 = 2775 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-29T15:55:08+00:00