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

1,2

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

Sequence in context: A078621 A287521 A287529 * A076195 A191924 A128310

Adjacent sequences: A179380 A179381 A179382 * A179384 A179385 A179386

Keyword

nonn

Author

Vladimir Shevelev, Jul 12 2010

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

Status

approved