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A087370
Numbers n such that 3n - 1 is a prime.
12
1, 2, 4, 6, 8, 10, 14, 16, 18, 20, 24, 28, 30, 34, 36, 38, 44, 46, 50, 56, 58, 60, 64, 66, 76, 78, 80, 84, 86, 88, 90, 94, 98, 104, 106, 116, 118, 120, 128, 130, 134, 140, 144, 148, 150, 154, 156, 160, 164, 168, 170, 174, 186, 188, 190, 196, 198, 200, 206, 214, 216
OFFSET
1,2
COMMENTS
3*n - 1 is an Eisenstein prime. - Vincenzo Librandi, Aug 08 2010
For all elements of this sequence there are no pairs (x,y) of positive integers such that a(n) = 3*x*y - x + y. - Pedro Caceres, Jan 28 2021
REFERENCES
M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988
Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta, UTET, CittaStudiEdizioni, Milano 1997
LINKS
FORMULA
a(n)= A024893(n) + 1 = A088879(n) + 2.
PROG
(Haskell)
a087370 n = a087370_list !! (n-1)
a087370_list = filter ((== 1) . a010051' . subtract 1 . (* 3)) [0..]
-- Reinhard Zumkeller, Jul 03 2015
CROSSREFS
A003627 gives primes, A091177 gives prime index.
Cf. A010051, subsequence of A016789, A259645.
Sequence in context: A260391 A022292 A225241 * A364158 A138929 A334169
KEYWORD
easy,nonn
AUTHOR
Giovanni Teofilatto, Oct 21 2003
EXTENSIONS
Corrected and extended by Ray Chandler, Oct 22 2003
STATUS
approved