A257482 Numbers m such that prime(m) mod 8 == prime(m) mod 27.

1, 2, 3, 4, 48, 84, 85, 119, 181, 211, 212, 213, 270, 296, 297, 326, 352, 353, 354, 378, 483, 484, 485, 513, 514, 539, 566, 591, 641, 665, 666, 691, 713, 739, 766, 790, 815, 816, 841, 864, 865, 890, 914, 936, 937, 960, 1007, 1029, 1054, 1055, 1076, 1077, 1104, 1105, 1151

Offset: 1

Author

Zak Seidov, Apr 26 2015

Keywords

• nonn

Comments

Numbers n such that A039706(n)= A242125(n).

8 and 27 are first two cubes > 1.

Examples

			prime(48) = 223 = 7 (mod 8) == 7 mod(27).
		

Links

• Ivan Neretin, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000720, A039706, A242125.

Programs

Magma

[n: n in [1..1500] | NthPrime(n) mod 8 eq NthPrime(n) mod 27]; // Vincenzo Librandi, Apr 28 2015

Mathematica

Select[Range@ 1000, Mod[Prime@ #, 8] == Mod[Prime@ #, 27] &] (* Michael De Vlieger, Apr 27 2015 *)

PARI

isok(n) = (prime(n) % 8) == (prime(n) % 27); \\ Michel Marcus, May 08 2017

Formula

a(n) = A000720(A257483(n)).

Extensions

More terms from Vincenzo Librandi, Apr 28 2015