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

1,1

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.

Links

Table of n, a(n) for n=1..47.

Crossrefs

Cf. A086519, A086522, A086524.

Sequence in context: A034937 A024351 A246325 * A220082 A207337 A145478

Adjacent sequences: A086520 A086521 A086522 * A086524 A086525 A086526

Keyword

nonn

Author

Amarnath Murthy, Jul 30 2003

Extensions

More terms from Ray G. Opao, Jan 24 2005

Status

approved