is 2 11159 - 1
has 3360 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L19C556E1828C14FFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672,662.776079.1045%1000000000000140024374856755389014,503,593.335745.4857%14,506,256.111788.6089%
Target2440.000268.1818%500100000.00001.3070%0.000268.5977%
Difference+23+2,662.7758+10.9227%+999999999500+1400243748567543890+14,503,593.3357+44.1787%+14,506,256.1115+20.0113%

Known prime factors:
No known factors for M11159

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.000--1.663%
2001-07-17Alex Kruppav4_computers1000000100000000---0.001--4.233%
2001-09-22ANONYMOUSv4_computers430000004290000000---0.052--10.508%
2002-04-28ANONYMOUSv4_computers163841638400---1.99153e-5--0.527%
2002-06-09ANONYMOUSv4_computers327683276800---3.98305e-5--0.869%
2002-07-14ANONYMOUSv4_computers655366553600---7.96610e-5--1.326%
2003-02-02ANONYMOUSv4_computers13107213107200---0.000--1.902%
2003-03-27ANONYMOUSv4_computers26214426214400---0.000--2.595%
2003-04-03ANONYMOUSv4_computers52428852428800---0.001--3.397%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.001--4.297%
2003-05-19ANONYMOUSv4_computers2097152209715200---0.003--5.290%
2003-07-06ANONYMOUSv4_computers4194304419430400---0.005--6.369%
2003-09-29ANONYMOUSv4_computers8388608838860800---0.010--7.527%
2003-09-29ANONYMOUSv4_computers167772161677721600---0.020--8.757%
2006-01-15Jocelyn Larouchev4_computers110000000110000000---0.021--5.852%
2006-01-15Jocelyn Larouchev4_computers200000000200000000---0.038--6.680%
2006-01-15Jocelyn Larouchev4_computers300000000300000000---0.057--7.266%
2010-05-18James Hintzhome2200000000050000000000---0.877--15.794%
2013-01-02bcp19Toshiba-740Q10000000000100000000000---2.833--17.227%
2018-04-02James Hintz3_1_201827370102029205275765217512---26.18--22.760%
2022-02-21-Anonymous-T5810100000000000121047848166084840---1,253,805--40.444%
2022-06-22-Anonymous-T581010000000000001400243748567553890---14,503,593--45.486%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-13ATH5960X100000000024100000000027--2.725


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14ANONYMOUSv4_computers252253--0.054--
1999-12-30ANONYMOUSv4_computers253254--0.108--
2000-06-28ANONYMOUSv4_computers21255--0.430--
2000-06-29ANONYMOUSv4_computers21255--0.430--
2000-08-24ANONYMOUSv4_computers21256--0.860--
2002-07-27ANONYMOUSv4_computers21257--1.720--
2016-02-23LaurVManual testing257258--1.720--
2010-07-20George WoltmanManual testing258259--3.441--
2010-07-20George WoltmanManual testing259260--6.882--
2012-11-08bcp19Manual testing260261--13.76--
2015-07-16snme2pm1G4261262--27.53--
2016-10-07Sid & AndyWoody262263--87.97--
2018-09-20snme2pm1G1263264--175.9--
2021-02-08Ruslan BorisovManual testing264265--334.8--
2021-08-23Ruslan BorisovManual testing265266--669.7--


ECM factoring results:
Total ECM effort:20,703.134 GHz-days
Estimated T-Level:51.045
DigitsB1CompleteFacMiss
20110005,344.5360.000%
25500002,072.7190.000%
30250000664.6070.000%
351000000171.0200.000%
40300000037.8270.000%
45110000007.4210.060%
50440000001.30627.086%
551100000000.20981.138%
602600000000.03196.961%
658000000000.00499.585%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.038
800008000000001000.727
10000001000000001,9505.335
30000003000000004053.324
1000000010000000000101.074
1100000011000000004,394132.2
430000002404906604262,9286,498
440000004400000001008.513
4400000044000000004,058488.5
4400000024000000000050110.8
1100000007762783965401,89213,454
various330.7023


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George Woltman19C556E1828C14FF1.46307e-6
2015-04-11MadPooManual testing19C556E1828C14FF1.46307e-6


PRP results:
No PRP results for M11159


P-1 factor-bounds graph:
B1 = 1000000000000, B2 = 1400243748567553890 (P-1 stage 2)
B1 = 100000000000, B2 = 121047848166084840 (P-1 stage 2)
B1 = 1000000000000 (P-1 stage 1)
B1 = 27370102029, B2 = 2052757652175 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 27370102029 (P-1 stage 1)
B1 = 10000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 2000000000, B2 = 50000000000 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 300000000 (P-1 stage 1)
B1 = 43000000, B2 = 4290000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 110000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 43000000 (P-1 stage 1)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (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: 67.8
ECM T-Level=51.05 ~= 153-bit
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Last modified: 2023-04-26T21:34:10+00:00