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

1,1

Comments

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

Links

Table of n, a(n) for n=1..40.

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.

Mathematica

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

Prog

(PARI) forprime(p=1, 5e4, if(Mod(p, 192)==65, print1(p, ", ")))
(Magma) [p: p in PrimesUpTo(25000) | p mod 192 in {65}]; // Vincenzo Librandi, Jan 04 2020

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).

Sequence in context: A105345 A060261 A264348 * A340343 A158231 A070815

Adjacent sequences: A301616 A301617 A301618 * A301620 A301621 A301622

Keyword

nonn,easy

Author

Felix Fröhlich, Mar 24 2018

Status

approved