A090605 - OEIS

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A090605

Numbers m such that m-th prime is of the form 60*k+1.

18, 42, 53, 82, 100, 110, 121, 172, 197, 216, 221, 257, 271, 279, 284, 326, 331, 339, 347, 369, 431, 438, 445, 450, 464, 474, 496, 556, 575, 585, 603, 618, 624, 647, 651, 682, 701, 730, 737, 741, 751, 764, 775, 798, 820, 829, 835, 841, 859, 873, 881, 894

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OFFSET

1,1

COMMENTS

A088955 indexed by A000040.

The asymptotic density of this sequence is 1/16 (by Dirichlet's theorem). - Amiram Eldar, Mar 01 2021

LINKS

Table of n, a(n) for n=1..52.

FORMULA

a(n) = k such that A000040(k) = A088955(n) = 60*A088958(n)+1.

MATHEMATICA

Select[Range[900], Mod[Prime[#], 60] == 1 &] (* Amiram Eldar, Mar 01 2021 *)