is 2 249427 - 1
has 75086 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-L573B701C97354874double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267119.128773.1343%26200000028509475094101,265.777224.1904%1,384.905979.6333%
Target2440.000059.0909%45001100000.000110.1566%0.000163.2459%
Difference+23+119.1287+14.0434%+261995500+2850947399410+1,265.7771+14.0338%+1,384.9058+16.3874%

Known prime factors:
No known factors for M249427

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers1000004000000---0.003--2.243%
2001-06-09ANONYMOUSv4_computers10000010000000---0.005--2.711%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.552%
2002-08-10ANONYMOUSv4_computers655366553600---0.003--2.232%
2003-03-07ANONYMOUSv4_computers13107213107200---0.007--3.041%
2003-11-08ANONYMOUSv4_computers26214426214400---0.014--3.966%
2011-02-07Jocelyn LaroucheManual testing20000002000000---0.016--2.600%
2011-07-24Jocelyn LaroucheManual testing20107262010726---0.016--2.605%
2012-02-26Jocelyn LaroucheManual testing25134082513408---0.020--2.821%
2014-10-14henryzzManual testing300000060000000---0.050--6.215%
2014-12-25thelegendarymudkipi5-4670k10000000250000000---0.188--8.542%
2016-05-13mognutsManual testing278969725---5.23629e-5--0.137%
2021-12-04Seth_TrManual testing120000000120000000---0.976--7.900%
2021-12-05Seth_TrManual testing12000000057783635910---26.54--17.822%
2022-05-25Sid & AndyRocky2620000002850947509410---1,266--24.190%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-05masserManual testing3000000096000000019961--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--0.038--
2002-04-14ANONYMOUSv4_computers21257--0.077--
2016-02-23Mark RoseManual testing257258--0.077--
2008-12-31Sturle Sundegluck.ifi258259--0.154--
2009-01-25Sturle Sundekraus.ifi259260--0.308--
2013-07-13lycornasteroid260261--0.616--
2015-08-11snme2pm1Manual testing261262--1.232--
2016-01-27Gordon SpenceManual testing262263--3.936--
2016-01-27Gordon SpenceManual testing263264--7.871--
2018-03-15Gordon SpenceManual testing264265--14.98--
2019-12-31Gordon SpenceManual testing265266--29.96--


ECM factoring results:
Total ECM effort:19.153 GHz-days
Estimated T-Level:29.856
DigitsB1CompleteFacMiss
201100064.2170.000%
25500009.2430.010%
302500000.97137.866%
3510000000.08092.334%
4030000000.00599.468%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002941.758
2500002500000058217.40


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ken Kiefer573B701C973548740.001
2016-06-01MadPooManual testing573B701C973548740.001


PRP results:
No PRP results for M249427


P-1 factor-bounds graph:
B1 = 262000000, B2 = 2850947509410 (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 = 2513408 (P-1 stage 1)
B1 = 2010726 (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 = 2789, B2 = 69725 (P-1 stage 2)
B1 = 2789 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=29.86 ~= 83-bit
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Last modified: 2023-03-23T17:39:31+00:00