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A086523 Beginning with 5, distinct odd primes such that the arithmetic mean of every pair of successive terms is prime. 1

%I

%S 5,17,29,53,41,101,113,149,197,257,269,293,401,461,521,593,641,653,

%T 701,821,857,1049,1277,1289,1433,1553,1613,1721,1901,1913,1949,1997,

%U 2081,2141,2273,2393,2441,2477,2609,2633,2693,2729,2753,2801,2837,2957,2969

%N Beginning with 5, distinct odd primes such that the arithmetic mean of every pair of successive terms is prime.

%C Every term == -1 (mod 6).

%C Conjecture: every prime of the form 6k-1 is a member. Comment from _Vim Wenders_, May 27 2008: The conjecture is wrong. For example 11 and 23 are missing.

%Y Cf. A086519, A086522, A086524.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Jul 30 2003

%E More terms from _Ray G. Opao_, Jan 24 2005

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Last modified October 23 17:37 EDT 2021. Contains 348215 sequences. (Running on oeis4.)