A140969 Prime numbers whose hexadecimal representation uses only the digits A,B,C,D,E,F (and not the decimal digits).

11, 13, 173, 191, 223, 239, 251, 2731, 2749, 2767, 2797, 3019, 3023, 3037, 3067, 3259, 3307, 3323, 3499, 3517, 3533, 3547, 3581, 3583, 3803, 3821, 3823, 4013, 4027, 4079, 4091, 4093, 43691, 43711, 43759, 43951, 43963, 43997, 44027, 44029, 44203, 44207

Offset

1,1

Links

Charles R Greathouse IV, Nov 16 2009, Table of n, a(n) for n = 1..10000

Example

11=B 13=D 113=AD 131=BB

Mathematica

Select[Prime@ Range[5000], Min[IntegerDigits[#, 16]] > 9 &] (* James C. McMahon, Jul 15 2025 *)

Prog

(PARI) mindigit(n, b) = if(n<b, n, min(mindigit(floor(n/b), b), n%b))
isA140969(n) = (isprime(n) && mindigit(n, 16) > 9) \\ Michael B. Porter, Dec 01 2009
(Python)
from sympy import isprime
from itertools import count, islice, product
def agen(): # generator of terms
    yield from (t for d in count(1) for r in product("ABCDEF", repeat=d-1) for e in "BDF" if isprime(t:=int("".join(r)+e, 16)))
print(list(islice(agen(), 44))) # Michael S. Branicky, Aug 31 2025

Crossrefs

Cf. A238090.

Sequence in context: A252170 A366718 A144375 * A064759 A238090 A093605

Adjacent sequences: A140966 A140967 A140968 * A140970 A140971 A140972

Keyword

base,nonn

Author

Gil Broussard, Jul 27 2008

Extensions

Edited by N. J. A. Sloane, Nov 15 2009

Status

approved