A004678 Primes written in base 4.

2, 3, 11, 13, 23, 31, 101, 103, 113, 131, 133, 211, 221, 223, 233, 311, 323, 331, 1003, 1013, 1021, 1033, 1103, 1121, 1201, 1211, 1213, 1223, 1231, 1301, 1333, 2003, 2021, 2023, 2111, 2113, 2131, 2203, 2213, 2231, 2303, 2311, 2333, 3001, 3011, 3013

Offset

1,1

Links

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

Formula

a(n) = A007090(A000040(n)). - Jonathan Vos Post, Sep 09 2006

Mathematica

FromDigits/@IntegerDigits[Prime[Range[50]], 4] (* Vincenzo Librandi, Sep 03 2016 *)

Prog

(PARI) a(n)=subst(Pol(digits(prime(n), 4)), 'x, 10) \\ Charles R Greathouse IV, Nov 06 2013
(Magma) [Seqint(Intseq(NthPrime(n), 4)): n in [1..60]]; // G. C. Greubel, Oct 12 2018

Crossrefs

Analogs in other bases: A004676 (base 2), A001363 (base 3), A004679 (base 5), A004680 (base 6), A004681 (base 7), A004682 (base 8), A004683 (base 9), A000040 (base 10), A004684 (base 11).

Cf. A072805 (primes of form 4k+3 written in base 3).

Sequence in context: A115669 A036956 A076503 * A107715 A090707 A062350

Adjacent sequences: A004675 A004676 A004677 * A004679 A004680 A004681

Keyword

nonn,easy,base

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Sep 03 2016

Status

approved