

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
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OFFSET

1,1


COMMENTS

Every term == 1 (mod 6).
Conjecture: every prime of the form 6k1 is a member. Comment from Vim Wenders, May 27 2008: The conjecture is wrong. For example 11 and 23 are missing.


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CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



