A301619 Primes congruent to 65 (mod 192).

257, 449, 641, 1217, 1409, 1601, 2753, 3137, 3329, 4289, 4481, 4673, 5441, 6977, 7937, 8513, 9281, 9473, 9857, 10433, 11393, 11777, 11969, 12161, 13121, 13313, 13697, 14081, 14657, 15233, 15809, 16001, 16193, 17729, 17921, 19073, 19457, 19841, 21377, 21569

Offset: 1

Author

Felix Fröhlich, Mar 24 2018

Keywords

• nonn
• easy

Comments

In other words, primes of the form 192*k+65 for k > 0.

Links

• R. Scott and R. Styer, On p^x - q^y = c and related three term exponential Diophantine equations with prime bases, Journal of Number Theory, Vol. 105, No. 2 (2004), 212-234. See p. 218.

Crossrefs

Subsequence of A002144 (primes of form 4*k+65) and A007519 (primes of form 8*k+65).

Cf. primes congruent to 65 (mod k): A142068 (k=66), A142137 (k=74), A142221 (k=82), A142271 (k=86), A142369 (k=94), A142427 (k=98), A142485 (k=102), A142542 (k=106), A142670 (k=114), A142733 (k=118), A142802 (k=122), A142890 (k=126), A105129 (k=128).

Programs

Magma

[p: p in PrimesUpTo(25000) | p mod 192 in {65}]; // Vincenzo Librandi, Jan 04 2020

Mathematica

Select[Prime[Range[2500]], MemberQ[{65}, Mod[#, 192]] &] (* Vincenzo Librandi, Jan 04 2020 *)

PARI

forprime(p=1, 5e4, if(Mod(p, 192)==65, print1(p, ", ")))