7, 9, 11, 13, 17, 19, 21, 25, 29, 35, 37, 41, 49, 53,

57, 61, 65, 67, 77, 85, 89, 97, 101, 109, 121, 125,

131, 137, 145, 149, 161, 165, 169, 181, 197, 205,

209, 217, 221, 229, 245, 253, 257, 259, 265, 277,

281, 301, 305, 317, 329, 337, 341, 349, 361, 365,

385, 389, 397, 401, 425, 449, 457, 461, 469, 481,

485, 489, 505, 515, 517, 529, 541, 545, 557, 565,

569, 581, 589, 617, 625, 629, 637, 665, 677, 689

Examples: a(1) = 7 = 3 + 2 * 2^{1}. a(60) = 401 = 3 + 2 * 199^{1}.

a(80) = 617 = 3 + 2 * 307^{1}….

PS

m can be equal to n.

PPS

199 and 307 are prime(46) and prime(63), respectively.

PPPS

Computation was performed by using Perl and Ruby, and I

welcome more terms.

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Dear Mr. Mizuki,

I assume your sequence is a double sequence, in other words, with two independent integer indices n,m, the general term of which I denote here (with two parentheses added) by a_{n,m}=3+2*(prime(m))^n. It is ordered according to increasing values of a_{n,m}.

For clarification purposes, could you confirm my assumption?

I am not a specialist in computer algorithms but it seems to me that the main problem is how to generate prime(m) and scan efficiently prime(m) and n, isn't it? I would like trying to perform the computation in PARI/GP, if I can.

In this case I see you are proposing a new sequence.

As you know this is my first comment to your interesting blog, mainly dedicated to Biology and Computer Science, integer sequences in particular.

Best regards

Américo Tavares

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