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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
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Jul 30 2003
EXTENSIONS
More terms from Ray G. Opao, Jan 24 2005
STATUS
approved