A088955 Primes of the form 60*k + 1.

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, 6121, 6301, 6361

Offset

1,1

Comments

Also primes of the form x^2 - 15*y^2 (see Uspensky and Heaslet). - Stefano Spezia, Jun 29 2026

References

J. V. Uspensky and M. A. Heaslet, Elementary Number Theory, McGraw-Hill, NY, 1939, Exercise n. 4 at p. 368.

Links

Table of n, a(n) for n=1..46.

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

Crossrefs

Cf. A088958, A090605.

Sequence in context: A142538 A057216 A139993 * A087870 A121513 A139508

Adjacent sequences: A088952 A088953 A088954 * A088956 A088957 A088958

Keyword

nonn

Author

Lekraj Beedassy, Dec 01 2003

Extensions

More terms from Ray Chandler, Dec 02 2003

a(44)-a(46) from Stefano Spezia, Jun 29 2026

Status

approved