is 2 2983363 - 1
has 898082 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC1B503FF170AE76Adouble-checked
PRP1715CCD9C1E14D9Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26940.017568.1159%3000000900000000.95527.2659%40.972770.4326%2.3167%
PrimeNet2600.051563.3333%120002200000.00292.5125%0.054464.2546%0.9213%
GPU722641.193165.6250%130002000000.00291.3854%1.195966.1012%0.4762%
Difference+5+38.8245+2.4909%+2987000+89800000+0.9523+5.8805%+39.7768+4.3314%+4.3314%

Known prime factors (1 factor, 84.5 bits, 0.00283169% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2983363269720815096040836315565272684.4804520415636582622301
7 × 379885823 × 1699915141
2021-08-0737988582316999151412,075,31555.75895.413

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.199%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2010-10-24T21:28:00markrtiny1000002025000---0.025--2.213%
2016-06-18T23:47:20Jocelyn LaroucheManual testing19840040500006---0.050--2.953%
2017-07-10T01:11:31Jocelyn Larouchelow 4M39680039680006---0.073--3.242%
2019-11-07T06:58:54BigBrotherWinston30000009000000012---0.955--7.266%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-02-14T01:50:00Sturle Sundegorilla.ifi260261--0.051--
2011-11-25T05:33:00Sebastian HornbostelManual testing261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.329--
2015-04-13T12:49:00lycornManual testing263264--0.658--
2015-04-13T12:49:00lycornManual testing264265--1.252--
2016-02-28T23:46:07ramgeisManual testing265266--2.505--
2017-12-03T23:32:45Gordon SpenceManual testing266267--5.010--
2018-12-27T01:47:29chuenkitManual testing267268--10.02--
2021-05-04T12:14:26TJAOIManual testing268269--20.04--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.879 GHz-days
Estimated T-Level:4.150
DigitsB1CurvesCompleteFacMiss
201100083 / 1000.83043.423%
255000083 / 2800.29674.307%

New Calculation Method

Total ECM effort:9.879 GHz-days
Estimated T-Level:4.150
DigitsB1CompleteFacMiss
20110002.7096.663%
25500000.24578.234%
302500000.01598.498%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.425
50000500000050.580
500006750000141.874


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00ANONYMOUSv4_computersC1B503FF170AE76A0.254
2018-10-20T13:53:55kkmrkkblmbrbkoldC1B503FF170AE76A0.254


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-08T20:55:52MarkSdesktop-i7
26972081509604083631556527
1715CCD9C1E14D9Bno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 396800, B2 = 3968000 (P-1 stage 2)
B1 = 198400, B2 = 4050000 (P-1 stage 2)
B1 = 396800 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 198400 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
109
102
103
104
105
106
107
108
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1010
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
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260
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2100
Last modified: 2021-08-08T20:55:52+00:00