OFFSET
1,1
COMMENTS
Conjecture: The sequence is infinite and for every n, a(n+1) < a(n)^(1+1/n). Namely, a(n)^(1/n) is a strictly decreasing function of n (see comments at A248855). - Jahangeer Kholdi and Farideh Firoozbakht, Nov 29 2014
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
FORMULA
a(n) = prime(A320703(n)). - R. J. Mathar, Apr 30 2024
MATHEMATICA
Transpose[Select[Partition[Prime[Range[800]], 2, 1], #[[2]] - #[[1]] == 10&]] [[1]] (* Harvey P. Dale, Oct 02 2014 *)
p = Prime@Range@800; p[[Flatten@Position[Differences@p, 10]]] (* Hans Rudolf Widmer, Aug 28 2022 *)
PROG
(Magma) [p: p in PrimesUpTo(7000) | NextPrime(p)-p eq 10]; // Bruno Berselli, Apr 09 2013
(PARI) forprime(p=o=1, 1e4, 10+o==(o=p)&&print1(p-10", ")) \\ M. F. Hasler, Mar 10 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Lekraj Beedassy, Jul 23 2003
EXTENSIONS
Edited by Labos Elemer, Jul 25 2003
STATUS
approved