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Difference between revisions of "Proth prime 2 289"

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|Pk=289
 
|Pk=289
 
|Pb=2
 
|Pb=2
|PCount=20
+
|PCount=21
 
|PNash=990
 
|PNash=990
|PMaxn=
+
|PMaxn=5000000
|PDate=
+
|PDate=2024-04-30
 
|PReserved=
 
|PReserved=
|PMultiRes=1
+
|PMultiRes
 
|PNlist=
 
|PNlist=
 
10
 
10
Line 17: Line 17:
 
6706;35589
 
6706;35589
 
11634
 
11634
18502;23436;T:C;C:[[Cullen prime 2]]
+
18502;23436;T:C;C:{{NCu|18496}}
 
52614;11697
 
52614;11697
 
102150;4246
 
102150;4246
Line 29: Line 29:
 
1317378;103905
 
1317378;103905
 
1522650;110774
 
1522650;110774
|PRemarks=All primes are also [[Generalized Fermat number#Special conditions for Proth primes|Generalized Fermat primes]].
+
4911870;137913
 +
|PRemarks=The {{OEIS|l|A053361}}<br>For all {{Vn}}-values {{Kbn|+|289|2|n}} is a [[Generalized Fermat number]].
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
 +
{{HistF|2024-04-01|4911870|Stefan Larsson,PrimeGrid Proth Prime Search}}
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 
{{HistF|2013-01-20|1522650|Grzegorz Granowski,PrimeGrid Proth Prime Search}}
 
{{HistF|2013-01-20|1522650|Grzegorz Granowski,PrimeGrid Proth Prime Search}}
 
{{HistF|2012-01-11|1317378|Tim Rickard,PrimeGrid Proth Prime Search}}
 
{{HistF|2012-01-11|1317378|Tim Rickard,PrimeGrid Proth Prime Search}}

Latest revision as of 21:00, 13 September 2024

Current data

k , b : 289 , 2
Type : Low
Count : 21
Nash : 990
Max n : 5,000,000
Date : 2024-04-30
10, 22, 34[1], 42[2], 150[3], 1758, 6706, 11634, 18502[4], 52614, 102150, 194830, 207546, 252858, 333406, 638902, 989182[5], 1117182, 1317378, 1522650, 4911870
Remarks :
The sequence A053361 in OEIS
For all n-values 289•2n+1 is a Generalized Fermat number.

Notes

History