is 2 2954093 - 1
has 889271 decimal digits
takes 0.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEE98170C3EBF8ACEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.177067.6471%1072681220000000.27315.6814%20.450169.4852%1.8381%
PrimeNet2600.052063.3333%120002200000.00292.5080%0.054964.2529%0.9196%
GPU722641.204965.6250%120002000000.00271.3470%1.207666.0880%0.4630%
Difference+4+18.9722+2.0221%+1060681+21800000+0.2703+4.3344%+19.2425+3.3971%+3.3971%

Known prime factors (1 factor, 72.7 bits, 0.00245954% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
295409374469106439230330669612272.6571260439438420360
23 × 5 × 11 × 2521 × 1136309039
2020-09-1425211136309039477.927.640614.270

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-11-02T12:45:00markrtiny950001995000---0.024--2.457%
2014-11-12T02:17:00Jocelyn LaroucheManual testing116727116727---0.014--0.928%
2015-01-26T18:12:00Jocelyn LaroucheManual testing141238141238---0.017--1.032%
2015-01-31T14:55:00Jocelyn LaroucheManual testing170897170897---0.021--1.144%
2015-02-01T13:32:00Jocelyn LaroucheManual testing187986187986---0.023--1.202%
2015-02-04T23:01:00Jocelyn LaroucheManual testing413568413568---0.051--1.755%
2015-02-25T03:47:00Jocelyn LaroucheManual testing454924454924---0.056--1.830%
2015-03-02T13:10:00Jocelyn LaroucheManual testing500416500416---0.062--1.907%
2015-03-12T10:39:00Jocelyn LaroucheManual testing550457550457---0.068--1.986%
2015-03-14T11:30:00Jocelyn LaroucheManual testing605502605502---0.075--2.067%
2015-03-29T20:50:00Jocelyn LaroucheManual testing732657732657---0.090--2.234%
2015-04-08T16:59:00Jocelyn LaroucheManual testing805922805922---0.099--2.320%
2015-05-01T17:21:00Jocelyn LaroucheManual testing975165975165---0.120--2.498%
2015-05-08T13:54:00VictordeHollanderManual testing100000020000000---0.251--5.545%
2016-09-05T18:36:02Jocelyn Larouchelow4M10726812200000012---0.273--5.681%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-13T22:23:00Sturle Sundeakerman.ifi260261--0.052--
2011-12-18T10:48:00markroldgamer261262--0.104--
2013-01-07T13:49:00dbaughManual testing262263--0.332--
2015-04-27T09:54:00VictordeHollanderManual testing263264--0.665--
2015-04-27T09:54:00VictordeHollanderManual testing264265--1.265--
2016-02-26T10:03:32ramgeisManual testing265266--2.530--
2017-11-28T10:01:37Gordon SpenceManual testing266267--5.059--
2018-12-24T00:53:33chuenkitManual testing267268--10.12--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.896 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.896 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.80644.644%
25500000.07392.971%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000182.085
50000500000070.811


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersEE98170C3EBF8ACE0.251
2018-10-13T05:32:23kkmrkkblmbrbkoldEE98170C3EBF8ACE0.251


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-15T09:10:28bald2718281828splint1
7446910643923033066961
87FB0AE74ABD9A24no
2020-09-16T04:03:43kutensvega
7446910643923033066961
87FB0AE74ABD9A24no
2020-09-21T16:15:30Wentao Huangtp-win
7446910643923033066961
87FB0AE74ABD9A24no


P-1 factor-bounds graph:
B1 = 1072681, B2 = 22000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1072681 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 975165 (P-1 stage 1)
B1 = 805922 (P-1 stage 1)
B1 = 732657 (P-1 stage 1)
B1 = 605502 (P-1 stage 1)
B1 = 550457 (P-1 stage 1)
B1 = 500416 (P-1 stage 1)
B1 = 454924 (P-1 stage 1)
B1 = 413568 (P-1 stage 1)
B1 = 95000, B2 = 1995000 (P-1 stage 2)
B1 = 187986 (P-1 stage 1)
B1 = 170897 (P-1 stage 1)
B1 = 141238 (P-1 stage 1)
B1 = 116727 (P-1 stage 1)
B1 = 95000 (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
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-09-21T16:15:30+00:00