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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 25 07:27 EDT 2021. Contains 347654 sequences. (Running on oeis4.)