is 2 17827 - 1
has 5367 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-LDB5D803B1F7313E7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671,666.792977.6119%100000000000801070519743994501,861,661.462340.4755%1,863,328.255286.6736%
Target2440.000165.9091%500100000.00001.5065%0.000166.4227%
Difference+23+1,666.7928+11.7028%+99999999500+80107051974389450+1,861,661.4623+38.9690%+1,863,328.2551+20.2509%

Known prime factors:
No known factors for M17827

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.000--1.794%
2001-07-29Alex Kruppav4_computers1000000100000000---0.003--4.473%
2001-08-18Alex Kruppav4_computers1000000100000000---0.003--4.473%
2002-04-28ANONYMOUSv4_computers163841638400---4.46828e-5--0.583%
2002-06-09ANONYMOUSv4_computers327683276800---8.93655e-5--0.951%
2002-07-14ANONYMOUSv4_computers655366553600---0.000--1.437%
2003-02-02ANONYMOUSv4_computers13107213107200---0.000--2.046%
2003-03-27ANONYMOUSv4_computers26214426214400---0.001--2.773%
2003-04-03ANONYMOUSv4_computers52428852428800---0.001--3.607%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.003--4.540%
2003-05-19ANONYMOUSv4_computers2097152209715200---0.006--5.566%
2003-07-06ANONYMOUSv4_computers4194304419430400---0.011--6.676%
2003-09-29ANONYMOUSv4_computers8388608838860800---0.023--7.867%
2003-09-29ANONYMOUSv4_computers167772161677721600---0.046--9.125%
2012-12-13SergiosiManual testing30000000002147483647---1.280--11.229%
2017-01-03James Hintzlappy_12_22_2016186990203111593392592212---3.448--17.611%
2019-05-21alexManual testing1000000000050000000000012---15.65--20.551%
2022-04-25-Anonymous-T581010000000000080107051974399450---1,861,661--40.476%


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


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15ANONYMOUSv4_computers252253--0.034--
2000-03-08ANONYMOUSv4_computers253254--0.067--
2000-09-23ANONYMOUSv4_computers21256--0.538--
2002-10-19ANONYMOUSv4_computers21257--1.077--
2016-02-23LaurVManual testing257258--1.077--
2010-06-22ANONYMOUSManual testing258259--2.154--
2010-06-22ANONYMOUSManual testing259260--4.308--
2012-12-25bcp19Manual testing260261--8.616--
2015-05-12snme2pm1G4261262--17.23--
2016-05-25Sid & AndyWoody262263--55.07--
2018-07-21snme2pm1g10263264--110.1--
2021-02-13Ruslan BorisovManual testing264265--209.6--
2022-02-23Ruslan BorisovManual testing265266--419.2--


ECM factoring results:
Total ECM effort:6,622.825 GHz-days
Estimated T-Level:45.761
DigitsB1CompleteFacMiss
20110002,893.2850.000%
2550000764.2800.000%
30250000177.5840.000%
35100000035.9760.000%
4030000006.5230.147%
45110000001.04735.113%
50440000000.15285.883%
551100000000.02097.993%
602600000000.00299.752%


ECM Summary

B1B2factorcurvesGHz-days
500001000000020,0008.134
10000001000000007544.628
100000010000000002906.991
30000003000000001,20022.10
11000000110000001034.715
1100000011000000004,863328.3
25000000250000000015023.02
44000000440000000010027.01
440000006117475188705006,198


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George WoltmanDB5D803B1F7313E75.24411e-6
2015-04-11MadPooManual testingDB5D803B1F7313E75.24411e-6


PRP results:
No PRP results for M17827


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 = 1869902031, B2 = 115933925922 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 1869902031 (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=45.76 ~= 135-bit
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-04-26T21:34:10+00:00