is 2 291367 - 1
has 87711 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-L99D398977B5094A5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267101.981171.6418%1000000510000000.03695.5177%102.018073.2065%1.5647%
PrimeNet2400.000052.5000%3000800000.000115.0939%0.000159.6696%7.1696%
GPU722440.000056.8182%55001400000.000111.1959%0.000161.6528%4.8346%
Difference+23+101.9811+14.8236%+994500+50860000+0.0368-5.6782%+102.0178+11.5537%+11.5537%

Known prime factors (1 factor, 84.0 bits, 0.02882737% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
291367192550525347014680494982092683.99333042610410069548112
24 × 3 × 11 × 61 × 604477 × 1697191357
2009-12-0560447716971913576,915,3450.92191.7112

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.775%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.596%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.289%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.110%
2003-12-02T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.047%
2006-01-15T00:00:00Jocelyn Larouchev4_computers291367291367---0.003--1.161%
2022-06-16T06:06:55some-studentsGIMPS_IN_SHANGHAI100000051000000---0.037--5.518%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:49LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.033--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.066--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.132--
2009-01-02T00:20:00Sturle Sundegibys.ifi258259--0.132--
2009-01-23T17:29:00Sturle Sundefungo.ifi259260--0.264--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.135 GHz-days
Estimated T-Level:27.953
DigitsB1CurvesCompleteFacMiss
2011000656 / 1006.5600.137%
2550000656 / 2802.3439.565%
30250000378 / 6400.59155.373%

New Calculation Method

Total ECM effort:17.135 GHz-days
Estimated T-Level:27.953
DigitsB1CompleteFacMiss
201100047.0560.000%
25500006.5990.136%
302500000.68450.450%
3510000000.05694.574%
4030000000.00499.629%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002782.035
250000250000001585.783
250000367500002209.317


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00ANONYMOUSv4_computers99D398977B5094A50.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T13:15:25Oliver KruseOllaptop
19255052534701468049498209
74E295AB307209__no
2017-09-22T20:36:40Oliver KruseManual testing
19255052534701468049498209
74E295AB307209__no
2017-10-12T20:18:50Oliver KruseGTX-274E295AB307209__no
2017-11-06T17:43:31kkmrkkblmbrbkc4.xlarge
19255052534701468049498209
74E295AB307209__no
2020-04-17T22:14:08Oliver KruseAddPrpType5
19255052534701468049498209
6E51CFEDB5DA93__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 51000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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 = 291367 (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)
103
104
105
106
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-06-16T06:06:55+00:00