is 2 249131 - 1
has 74996 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-L99A1AC49D5A356EFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267119.270373.1343%26200000028547215596901,267.450224.1909%1,386.720479.6334%
Target2440.000059.0909%45001100000.000110.1548%0.000163.2451%
Difference+23+119.2702+14.0434%+261995500+2854721449690+1,267.4501+14.0361%+1,386.7203+16.3882%

Known prime factors:
No known factors for M249131

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers1000004000000---0.003--2.243%
2001-06-09ANONYMOUSv4_computers10000010000000---0.005--2.710%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.552%
2002-08-10ANONYMOUSv4_computers655366553600---0.003--2.232%
2003-03-07ANONYMOUSv4_computers13107213107200---0.007--3.040%
2003-11-08ANONYMOUSv4_computers26214426214400---0.014--3.965%
2011-02-07Jocelyn LaroucheManual testing20000002000000---0.016--2.600%
2011-07-24Jocelyn LaroucheManual testing20138252013825---0.016--2.606%
2012-02-26Jocelyn LaroucheManual testing25172812517281---0.020--2.822%
2014-10-14henryzzManual testing300000060000000---0.050--6.215%
2014-12-24thelegendarymudkipi5-4670k10000000250000000---0.188--8.541%
2016-05-13mognutsManual testing278669650---5.23065e-5--0.137%
2021-12-04Seth_TrManual testing120000000120000000---0.976--7.899%
2021-12-05Seth_TrManual testing12000000057783635910---26.54--17.821%
2022-05-27Sid & AndyRocky2620000002854721559690---1,267--24.191%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-05masserManual testing3000000096000000019431--0.775
2023-02-05masserManual testing3000000099000000027--0.788
2023-02-11masserManual testing3000000099000000065--0.788


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-04-27ANONYMOUSv4_computers21254--0.010--
2022-03-07LordJuliusManual testing254255--0.010--
2001-02-18ANONYMOUSv4_computers21256--0.039--
2002-04-14ANONYMOUSv4_computers21257--0.077--
2016-02-23Mark RoseManual testing257258--0.077--
2008-12-31Sturle Sundegluck.ifi258259--0.154--
2009-01-24Sturle Sundekraus.ifi259260--0.308--
2013-07-14lycornasteroid260261--0.617--
2015-08-10snme2pm1Manual testing261262--1.233--
2016-01-27Gordon SpenceManual testing262263--3.940--
2016-01-27Gordon SpenceManual testing263264--7.881--
2018-03-12Gordon SpenceManual testing264265--15.00--
2019-12-31Gordon SpenceManual testing265266--30.00--


ECM factoring results:
Total ECM effort:19.141 GHz-days
Estimated T-Level:29.853
DigitsB1CompleteFacMiss
201100064.1400.000%
25500009.2360.010%
302500000.97137.883%
3510000000.08092.336%
4030000000.00599.468%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002921.746
2500002500000058217.40


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ken Kiefer99A1AC49D5A356EF0.001
2016-06-01MadPooManual testing99A1AC49D5A356EF0.001


PRP results:
No PRP results for M249131


P-1 factor-bounds graph:
B1 = 262000000, B2 = 2854721559690 (P-1 stage 2)
B1 = 120000000, B2 = 57783635910 (P-1 stage 2)
B1 = 262000000 (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 = 2517281 (P-1 stage 1)
B1 = 2013825 (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 = 2786, B2 = 69650 (P-1 stage 2)
B1 = 2786 (P-1 stage 1)
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102
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TF factor-bounds graph:
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265
264
263
262
261
260
259
258
257
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253
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=29.85 ~= 83-bit
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Last modified: 2023-03-25T13:08:14+00:00