is 2 299771 - 1
has 90241 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-L79989447A2D6D8CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26799.122171.6418%100000004000000000.32229.3048%99.444374.2805%2.6387%
PrimeNet2400.000052.5000%3200900000.000115.5660%0.000159.8939%7.3939%
GPU722440.000056.8182%55001400000.000111.2422%0.000161.6728%4.8546%
Difference+23+99.1220+14.8236%+9994500+399860000+0.3221-1.9374%+99.4441+12.6077%+12.6077%

Known prime factors (1 factor, 79.7 bits, 0.02659746% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29977110036005755749830267232812579.7311673945404283574840
23 × 3 × 5 × 11 × 232 × 53 × 45230961151
2015-12-0352945230961151758,49925.41047.458

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.787%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.604%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.604%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.299%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.123%
2003-12-13T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.062%
2006-01-15T00:00:00Jocelyn Larouchev4_computers299771299771---0.003--1.184%
2008-11-15T21:08:00Jayson Kingatlas10000000400000000---0.322--9.305%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23T16:33:40nordisweet161000000050000000027--0.418
2021-04-30T09:41:14nordisweet161000000050000000065--0.418


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:12:00LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.032--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.064--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.128--
2009-01-02T09:50:00Sturle Sundegoldiek.ifi258259--0.128--
2009-01-24T08:53:00Sturle Sundeghibu.ifi259260--0.256--
2013-06-11T20:53:00lycornasteroid260261--0.512--
2015-08-13T13:31:00NRManual testing261262--1.025--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.694 GHz-days
Estimated T-Level:27.375
DigitsB1CurvesCompleteFacMiss
2011000585 / 1005.8500.280%
2550000585 / 2802.08912.331%
30250000304 / 6400.47562.165%

New Calculation Method

Total ECM effort:14.694 GHz-days
Estimated T-Level:27.375
DigitsB1CompleteFacMiss
201100034.3980.000%
25500004.5541.052%
302500000.45563.439%
3510000000.03696.482%
4030000000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.143
250000250000001415.376
2500002500000030.114
250000367500001607.060


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00KUNCEVO6v4_computers79989447A2D6D8CB0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T14:43:16Oliver KruseDoppelherz
1003600575574983026723281
E7A89C69425003__no
2017-09-24T17:45:36Oliver KruseManual testing
1003600575574983026723281
E7A89C69425003__no
2017-09-30T15:30:38alpertronManual testing
1003600575574983026723281
E7A89C69425003__no
2017-12-07T05:52:22ATHxps
1003600575574983026723281
E7A89C69425003__no
2020-04-17T22:17:03Oliver KruseAddPrpType5
1003600575574983026723281
9E7E8C5B28BE7F__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
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 = 299771 (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)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T06:12:00+00:00