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A108418 Primes with at least one of each odd digit and no even digits. 2

%I #43 Mar 05 2024 16:33:00

%S 13597,13759,15739,15937,15973,17359,17539,19753,31957,37159,37591,

%T 37951,39157,51973,53197,53719,53791,53917,57139,57193,71359,71593,

%U 73951,75193,75391,75913,75931,79153,79531,91573,91753,95317,95713,95731

%N Primes with at least one of each odd digit and no even digits.

%C This is a subsequence of A030096.

%C No even digits are allowable. Otherwise the first missing terms would be 105379, 105397, 109357, 109537. - _Zak Seidov_, Nov 24 2013

%H Georg Fischer, <a href="/A108418/b108418.txt">Table of n, a(n) for n = 1..3000</a> [recomputed Jul 08 2022; first 390 terms from Carmine Suriano]

%t Select[Table[Prime[n],{n,10000}],!ContainsAny[IntegerDigits[#],{0,2,4,6,8}]&&ContainsAll[IntegerDigits[#],{1,3,5,7,9}]&] (* _James C. McMahon_, Mar 05 2024 *)

%o (Python)

%o from sympy import isprime

%o from itertools import count, islice, product

%o def agen():

%o for d in count(5):

%o for p in product("13579", repeat=d):

%o if set(p) != set("13579"): continue

%o t = int("".join(p))

%o if isprime(t): yield t

%o print(list(islice(agen(), 40))) # _Michael S. Branicky_, Jul 08 2022

%Y Cf. A030096 (Primes whose digits are all odd), A050288 (Pandigital primes), A108386 (Primes p such that p's set of distinct digits is {1, 3, 7, 9}).

%Y Cf. A232447 (even digits are allowable). - _Zak Seidov_, Nov 24 2013

%K base,nonn

%O 1,1

%A _Rick L. Shepherd_, Jun 02 2005

%E Added missing last term with 5 different digits, _Carmine Suriano_, Jan 14 2011

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Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)