is 2 2051383 - 1
has 617528 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9C683847529ACED6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.055969.1176%40000002000000001.39948.7614%30.455471.8234%2.7057%
PrimeNet2580.018763.7931%90001600000.00162.6660%0.020464.7584%0.9653%
GPU722620.299566.1290%90001200000.00141.3305%0.300966.5797%0.4506%
Difference+6+28.7565+2.9886%+3991000+199880000+1.3980+7.4309%+30.1544+5.2437%+5.2437%

Known prime factors (1 factor, 79.0 bits, 0.00384969% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20513835927785043363273537720332478.972144482650079562752
210 × 141096337968323
2020-07-12102414109633796832337,024732,8901,368,834

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.222%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.046%
2009-05-16T18:01:00Rob_Deetwopc20000280000---0.003--0.893%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.350%
2011-01-06T01:05:00Jocelyn LaroucheManual testing5000050000---0.005--0.508%
2011-01-26T22:23:00James Heinrichi7-9201350002868750---0.027--2.708%
2014-10-22T23:53:00Jocelyn LaroucheManual testing166288166288---0.016--1.058%
2015-10-06T16:06:40Bruno Victal5820K-linux5000001500000012---0.123--4.664%
2019-07-02T10:58:56BigBrotherWinston10000002000000012---0.194--5.318%
2019-08-16T18:52:39mikrMSI400000020000000012---1.399--8.761%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-03T01:27:00Sturle Sundegopher.ifi260261--0.075--
2012-03-09T09:47:00Sebastian HornbostelManual testing261262--0.150--
2013-09-01T20:20:00ramgeisManual testing262263--0.479--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.957--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.821--
2015-11-03T10:09:59ramgeisManual testing265266--3.643--
2016-08-18T20:55:10Gordon SpenceManual testing266267--7.286--
2019-03-23T09:42:42chuenkitManual testing267268--14.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.333 GHz-days
Estimated T-Level:21.964
DigitsB1CurvesCompleteFacMiss
2011000110 / 1001.10033.103%
2550000110 / 2800.39367.465%

New Calculation Method

Total ECM effort:9.333 GHz-days
Estimated T-Level:21.964
DigitsB1CompleteFacMiss
20110003.5482.877%
25500000.32172.564%
302500000.02098.045%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001089.163
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers9C683847529ACED60.135
2016-07-15T23:26:51Mark Rosedonatello9C683847529ACED60.135


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-12T22:05:35CrypticClueManual testing
592778504336327353772033
26A73699F3007B8Fno
2020-07-16T01:03:34nordisweet16
592778504336327353772033
26A73699F3007B8Fno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2868750 (P-1 stage 2)
B1 = 166288 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 280000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4000 (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
1011
1012
1013
1014
1015
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-07-16T01:03:34+00:00