A088958 -id:A088958

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A088955

Primes of the form 60*n + 1.

+10
6

61, 181, 241, 421, 541, 601, 661, 1021, 1201, 1321, 1381, 1621, 1741, 1801, 1861, 2161, 2221, 2281, 2341, 2521, 3001, 3061, 3121, 3181, 3301, 3361, 3541, 4021, 4201, 4261, 4441, 4561, 4621, 4801, 4861, 5101, 5281, 5521, 5581, 5641, 5701, 5821, 5881

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..43.

FORMULA

a(n) = 60*A088958(n) + 1 = A000040(A090605(n)). - Ray Chandler, Dec 02 2003

MATHEMATICA

lst={}; Do[If[Mod[n, 60]==1, If[PrimeQ[n], AppendTo[lst, n]]], {n, 8!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 25 2009 *)

Select[Range[1, 6000, 60], PrimeQ] (* Harvey P. Dale, Aug 29 2012 *)

CROSSREFS

Cf. A088958, A090605.

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Dec 01 2003

EXTENSIONS

More terms from Ray Chandler, Dec 02 2003

STATUS

approved

A090605

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

+10
2

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

(list; graph; refs; listen; history; text; internal format)

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 *)