is 2 2658301 - 1
has 800229 decimal digits
takes 0.205 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD40C135C43FE9D33double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.422267.6471%2000000500000000.51696.8602%22.939069.8665%2.2195%
PrimeNet2590.028962.7119%110002000000.00242.7059%0.031363.7208%1.0090%
GPU722630.600465.0794%130002200000.00271.6197%0.603165.6450%0.5656%
Difference+5+21.8218+2.5677%+1987000+49780000+0.5141+5.2405%+22.3359+4.2215%+4.2215%

Known prime factors (1 factor, 78.7 bits, 0.00296190% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26583015034432955940369109713032478.73694692680699822351
83 × 2131 × 535371032887
2020-07-23213153537103288741,0283,266.66,101.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2009-06-23T23:57:00harleeP4_260030000420000---0.006--1.208%
2011-01-19T07:09:00James Heinrichi7-9202500008000000---0.075--3.876%
2017-09-13T23:12:03Jocelyn Larouchelow 4M50000050000006---0.083--3.834%
2017-09-19T22:20:06Jocelyn Larouchelow 4M60000060000006---0.100--4.071%
2019-11-26T14:22:19masserManual testing20000005000000012---0.517--6.860%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-02T00:00:00ANONYMOUSv4_computers21259--0.029--
1999-04-13T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-27T04:44:00Sturle Sundegolli.ifi260261--0.058--
2012-05-24T12:33:00markroldgamer261262--0.116--
2013-01-14T11:57:00dbaughManual testing262263--0.369--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.739--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.406--
2016-01-22T17:32:15ramgeisManual testing265266--2.811--
2017-09-08T08:21:18Gordon SpenceManual testing266267--5.622--
2019-05-13T13:38:09TJAOIManual testing267268--11.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.030 GHz-days
Estimated T-Level:1.950
DigitsB1CurvesCompleteFacMiss
201100039 / 1000.39067.573%
255000039 / 2800.13986.976%

New Calculation Method

Total ECM effort:4.030 GHz-days
Estimated T-Level:1.950
DigitsB1CompleteFacMiss
20110001.25828.420%
25500000.11489.252%
302500000.00799.302%


ECM Summary

B1B2factorcurvesGHz-days
500005000000363.720
50000500000030.310


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computersD40C135C43FE9D330.205
1999-04-13T00:00:00ANONYMOUSv4_computersD40C135C43FE9D330.205
2018-07-21T14:20:11kkmrkkblmbrbkoldD40C135C43FE9D330.205


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-23T09:36:05CrypticCluecruncher
503443295594036910971303
A47040DEA2382C18no
2020-07-23T10:39:01ATHec2-PRPCFDC
503443295594036910971303
A47040DEA2382C18no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 500000, B2 = 5000000 (P-1 stage 2)
B1 = 250000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 250000 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-07-23T10:39:01+00:00