A142798 Primes congruent to 53 mod 60.

53, 113, 173, 233, 293, 353, 593, 653, 773, 953, 1013, 1193, 1373, 1433, 1493, 1553, 1613, 1733, 1913, 1973, 2153, 2213, 2273, 2333, 2393, 2633, 2693, 2753, 3413, 3533, 3593, 3833, 4013, 4073, 4133, 4253, 4373, 4493, 4673, 4733, 4793, 4973, 5153, 5273, 5333

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 60 eq 53 ]; // Vincenzo Librandi, Sep 04 2012

Mathematica

Select[Prime[Range[900]], MemberQ[{53}, Mod[#, 60]] &] (* Vincenzo Librandi, Sep 04 2012 *)

PARI

is(n)=isprime(n) && n%60==53 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016