A141941 Primes congruent to 18 mod 25.

43, 193, 293, 443, 593, 643, 743, 1093, 1193, 1493, 1543, 1693, 1993, 2143, 2243, 2293, 2393, 2543, 2593, 2693, 2843, 3343, 3593, 3643, 3793, 3943, 4093, 4243, 4493, 4643, 4793, 4943, 4993, 5393, 5443, 5693, 5743, 5843, 6043, 6143, 6343, 6793, 7043, 7193

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Comments

Primes congruent to 43 mod 50. - Chai Wah Wu, Apr 28 2025

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(8000) | p mod 25 eq 18 ]; // Vincenzo Librandi, Aug 16 2012

Mathematica

Select[Range[18, 20000, 25], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 15 2011 *)

PARI

is(n)=isprime(n) && n%25==18 \\ Charles R Greathouse IV, Jul 02 2016

Python

from itertools import count, islice
from sympy import isprime
def A141941_gen(): # generator of terms
    return filter(isprime,count(43,50))
A141941_list = list(islice(A141941_gen(),48)) # Chai Wah Wu, Apr 28 2025

Formula

a(n) ~ 20n log n. - Charles R Greathouse IV, Jul 02 2016