is 2 2020511 - 1
has 608235 decimal digits
takes 0.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFB570580613714ABdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.499969.1176%40000002000000001.39948.7488%30.899371.8195%2.7018%
PrimeNet2580.019063.7931%90001500000.00162.6121%0.020664.7389%0.9458%
GPU722620.304166.1290%80001200000.00131.2734%0.305466.5603%0.4313%
Difference+6+29.1958+2.9886%+3992000+199880000+1.3981+7.4755%+30.5939+5.2592%+5.2592%

Known prime factors (1 factor, 81.5 bits, 0.00403174% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
202051133300490299409613170800312581.462824061098885618865
3 × 5 × 17 × 84299 × 38335118477
2020-07-148429938335118477345,472199.13371.90

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.017%
2002-12-31T00:00:00ANONYMOUSv4_computers25000412500---0.004--1.078%
2010-12-08T22:41:00Jocelyn LaroucheManual testing202051202051---0.019--1.170%
2013-10-18T05:46:00David Campeaui5-2500k58000015080000---0.131--4.745%
2019-02-24T22:28:02mikrMSI400000020000000012---1.399--8.749%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00S00030v4_computers21258--0.019--
2016-02-23T16:29:03Mark RoseManual testing258260--0.057--
2009-01-02T09:40:00Sturle Sundefizir.ifi260261--0.076--
2012-02-04T16:48:00Sebastian HornbostelManual testing261262--0.152--
2013-02-11T20:23:00dbaughManual testing262263--0.486--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.972--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.849--
2015-10-28T09:42:37ramgeisManual testing265266--3.698--
2016-07-02T13:21:34Gordon SpenceManual testing266267--7.397--
2019-03-18T03:51:00chuenkitManual testing267268--14.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.908 GHz-days
Estimated T-Level:22.089
DigitsB1CurvesCompleteFacMiss
2011000117 / 1001.17030.854%
2550000117 / 2800.41865.796%

New Calculation Method

Total ECM effort:9.908 GHz-days
Estimated T-Level:22.089
DigitsB1CompleteFacMiss
20110003.7742.296%
25500000.34171.098%
302500000.02197.921%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001149.65
50000500000030.254


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00S00030v4_computersFB570580613714AB0.133
2016-07-15T13:19:23Mark RoseleonardoFB570580613714AB0.133


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-15T01:19:51pew10980xe_1
3330049029940961317080031
9C9434078799F9BCno
2020-07-15T16:39:45kotenok2000shodan1
3330049029940961317080031
9C9434078799F9BCno
2020-07-16T02:00:19MarkSlaptop64
3330049029940961317080031
9C9434078799F9BCno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 202051 (P-1 stage 1)
B1 = 25000, B2 = 412500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-07-16T02:00:19+00:00