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

5, 17, 29, 53, 41, 101, 113, 149, 197, 257, 269, 293, 401, 461, 521, 593, 641, 653, 701, 821, 857, 1049, 1277, 1289, 1433, 1553, 1613, 1721, 1901, 1913, 1949, 1997, 2081, 2141, 2273, 2393, 2441, 2477, 2609, 2633, 2693, 2729, 2753, 2801, 2837, 2957, 2969

Offset: 1

Author

Amarnath Murthy, Jul 30 2003

Keywords

• nonn

Comments

Every term == -1 (mod 6).

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.

Crossrefs

Cf. A086519, A086522, A086524.

Extensions

More terms from Ray G. Opao, Jan 24 2005