is 2 274147 - 1
has 82527 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDA66994357D855F5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267108.386871.6418%262144262144000.01664.0153%108.403472.7805%1.1387%
PrimeNet2400.000052.5000%2800800000.000114.8589%0.000159.5580%7.0580%
GPU722440.000056.8182%50001300000.000110.8051%0.000161.4840%4.6659%
Difference+23+108.3868+14.8236%+257144+26084400+0.0165-6.7898%+108.4033+11.2964%+11.2964%

Known prime factors (1 factor, 64.6 bits, 0.02358155% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
274147289084194560464543932064.64852724303851668
22 × 3 × 97 × 45295793687
2008-01-11974529579368724.98424.45245.670

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.277%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.750%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.579%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.267%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.083%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.015%
2006-01-15T00:00:00Jocelyn Larouchev4_computers274147274147---0.003--1.114%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:20LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.035--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.070--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.140--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.766 GHz-days
Estimated T-Level:26.867
DigitsB1CurvesCompleteFacMiss
2011000518 / 1005.1800.548%
2550000518 / 2801.85015.672%
30250000239 / 6400.37368.816%

New Calculation Method

Total ECM effort:10.766 GHz-days
Estimated T-Level:26.867
DigitsB1CompleteFacMiss
201100032.4580.000%
25500004.3591.279%
302500000.43464.770%
3510000000.03496.617%
4030000000.00299.775%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002792.038
250000250000002398.728


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-17T00:00:00ANONYMOUSv4_computersDA66994357D855F50.002
2015-08-11T17:07:00MadPooManual testingDA66994357D855F50.002
2015-08-11T17:23:00MadPooManual testingDA66994357D855F50.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:25:31Oliver KruseOllaptop
28908419456046454393
ED624E45C27992__no
2017-09-22T20:35:42Oliver KruseManual testing
28908419456046454393
ED624E45C27992__no
2017-10-13T05:45:13Oliver KruseThreadripper0ADDC02C397ED6__no
2017-10-13T08:35:01kkmrkkblmbrbkc4.xlargeED624E45C27992__no
2017-11-02T10:45:40kkmrkkblmbrbkc4.xlarge
28908419456046454393
0ADDC02C397ED6__no


P-1 factor-bounds graph:
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 = 274147 (P-1 stage 1)
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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T06:11:20+00:00