A179383 a(n) = 2*k(n)-1 where k(n) is the sequence of positions of records in A179382.

1, 5, 9, 11, 13, 19, 25, 29, 37, 53, 59, 61, 67, 83, 101, 107, 121, 131, 139, 149, 163, 173, 179, 181, 197, 211, 227, 269, 293, 317, 347, 349, 373, 379, 389, 419, 421, 443, 461, 467, 491, 509, 523, 541, 547, 557, 563, 587, 613, 619, 653, 659, 661, 677, 701, 709, 757

Offset: 1

Author

Vladimir Shevelev, Jul 12 2010

Keywords

• nonn

Comments

Records in A179382(k(n)) = 1, 2, 3, 5, 6, 9, 10, 14, 18, 26, 29, ....

are located at k(n) = 1, 3, 5, 6, 7, 10, 13, 15, 19, 27, 30, 31,..

The current sequence is a simple transformation of this k(n) sequence.

Question: Are there any terms in the sequence with two or more distinct prime divisors?

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]

Links

• Peter J. C. Moses, Table of n, a(n) for n = 1..8500

Crossrefs

Cf. A139099, A167791, A002326, A179382

Extensions

Definition rephrased and sequence extended by R. J. Mathar, Jul 13 2010

I made a change to Conjecture 4). - Vladimir Shevelev, Jul 18 2010