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%I #8 May 19 2013 11:22:17
%S 1,5,9,11,13,19,25,29,37,53,59,61,67,83,101,107,121,131,139,149,163,
%T 173,179,181,197,211,227,269,293,317,347,349,373,379,389,419,421,443,
%U 461,467,491,509,523,541,547,557,563,587,613,619,653,659,661,677,701,709,757
%N a(n) = 2*k(n)-1 where k(n) is the sequence of positions of records in A179382.
%C Records in A179382(k(n)) = 1, 2, 3, 5, 6, 9, 10, 14, 18, 26, 29, ....
%C are located at k(n) = 1, 3, 5, 6, 7, 10, 13, 15, 19, 27, 30, 31,..
%C The current sequence is a simple transformation of this k(n) sequence.
%C Question: Are there any terms in the sequence with two or more distinct prime divisors?
%C Some very plausible conjectures: 1) The sequence consists of primes and squares of primes; 2) The set of squares is finite; 3) A prime p>=5 is in the sequence iff it has primitive root 2 (A001122) ; 4) There exists l such that, for n>l, A179383(n) =A139099(n+l) . [From _Vladimir Shevelev_ , Jul 14 2010]
%H Peter J. C. Moses, <a href="/A179383/b179383.txt">Table of n, a(n) for n = 1..8500</a>
%Y Cf. A139099, A167791, A002326, A179382
%K nonn
%O 1,2
%A _Vladimir Shevelev_, Jul 12 2010
%E Definition rephrased and sequence extended by _R. J. Mathar_, Jul 13 2010
%E I made a change to Conjecture 4). - _Vladimir Shevelev_, Jul 18 2010
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