|
|
A265121
|
|
Integers n such that n*3^n + 2 is prime.
|
|
1
|
|
|
0, 1, 3, 5, 11, 15, 17, 153, 169, 273, 317, 373, 923, 1403, 1969, 2349, 7809, 10313, 12291, 24865
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
Initial corresponding primes are 2, 5, 83 and 1217.
How do this sequence and A006552 compare asymptotically?
|
|
LINKS
|
Table of n, a(n) for n=1..20.
|
|
EXAMPLE
|
a(3) = 3 because 3^3 * 3 + 2 = 83 is prime.
|
|
MATHEMATICA
|
Select[Range[0, 10000], PrimeQ[# 3^# + 2] &] (* Vincenzo Librandi, Dec 02 2015 *)
|
|
PROG
|
(PARI) for(n=0, 1e6, if(ispseudoprime(3^n*n + 2), print1(n, ", ")));
(MAGMA) [n: n in [0..400] | IsPrime(n*3^n+2)]; // Vincenzo Librandi, Dec 02 2015
|
|
CROSSREFS
|
Cf. A006552, A036290, A182373.
Sequence in context: A316092 A302590 A316151 * A281575 A105772 A244520
Adjacent sequences: A265118 A265119 A265120 * A265122 A265123 A265124
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
Altug Alkan, Dec 01 2015
|
|
EXTENSIONS
|
a(1) = 0 added by Vincenzo Librandi, Dec 02 2015
|
|
STATUS
|
approved
|
|
|
|