is 2 18119 - 1
has 5455 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-LB80F6AFAECB982ACdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671,639.931477.6119%100000000000801070519743994501,861,661.462340.4962%1,863,301.393786.6783%
Target2440.000165.9091%500800000.00001.5139%0.000166.4252%
Difference+23+1,639.9313+11.7028%+99999999500+80107051974319450+1,861,661.4623+38.9823%+1,863,301.3936+20.2531%

Known prime factors:
No known factors for M18119

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.000--1.799%
2001-07-29Alex Kruppav4_computers1000000100000000---0.003--4.482%
2001-08-18Alex Kruppav4_computers1000000100000000---0.003--4.482%
2002-04-28ANONYMOUSv4_computers163841638400---4.46828e-5--0.585%
2002-06-09ANONYMOUSv4_computers327683276800---8.93655e-5--0.954%
2002-07-14ANONYMOUSv4_computers655366553600---0.000--1.441%
2003-02-02ANONYMOUSv4_computers13107213107200---0.000--2.052%
2003-03-27ANONYMOUSv4_computers26214426214400---0.001--2.779%
2003-04-03ANONYMOUSv4_computers52428852428800---0.001--3.614%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.003--4.549%
2003-05-19ANONYMOUSv4_computers2097152209715200---0.006--5.575%
2003-07-06ANONYMOUSv4_computers4194304419430400---0.011--6.687%
2003-09-29ANONYMOUSv4_computers8388608838860800---0.023--7.879%
2003-09-29ANONYMOUSv4_computers167772161677721600---0.046--9.137%
2013-09-04David Campeaui5-2500k2000000000130000000000---3.828--17.837%
2019-05-22alexManual testing1000000000050000000000012---15.65--20.567%
2022-04-26-Anonymous-T581010000000000080107051974399450---1,861,661--40.496%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-12ATH5960X100000000024100000000027--6.651


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15ANONYMOUSv4_computers252253--0.033--
2000-03-08ANONYMOUSv4_computers253254--0.066--
2000-09-23ANONYMOUSv4_computers21256--0.530--
2002-10-19ANONYMOUSv4_computers21257--1.060--
2016-02-23LaurVManual testing257258--1.060--
2016-02-23LaurVManual testing258259--2.119--
2010-03-17GrunwalderGIMPManual testing21260--8.477--
2016-02-23LaurVManual testing259260--4.238--
2012-12-25bcp19Manual testing260261--8.477--
2015-08-29snme2pm1G4261262--16.95--
2016-04-17Sid & AndyWoody262263--54.18--
2018-05-14snme2pm1g10263264--108.4--
2021-02-14Ruslan BorisovManual testing264265--206.2--
2022-03-27Ruslan BorisovManual testing265266--412.4--


ECM factoring results:
Total ECM effort:6,708.911 GHz-days
Estimated T-Level:45.876
DigitsB1CompleteFacMiss
20110002,164.2500.000%
2550000780.1570.000%
30250000201.1030.000%
35100000042.1080.000%
4030000007.6800.046%
45110000001.22329.437%
50440000000.17583.929%
551100000000.02397.732%
602600000000.00399.723%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000004492.756
30000003000000002003.683
110000001100000030.137
1100000011000000007,063476.9
44000000440000000010027.01
440000006118032344095006,198


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George WoltmanB80F6AFAECB982AC5.33001e-6
2015-04-11MadPooManual testingB80F6AFAECB982AC5.33001e-6


PRP results:
No PRP results for M18119


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 80107051974399450 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 10000000000, B2 = 500000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 2000000000, B2 = 130000000000 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
104
105
106
107
108
109
1010
1011
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
266
265
264
263
262
261
260
259
258
257
256
254
253
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=45.88 ~= 136-bit
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-06-05T21:50:05+00:00