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A108418
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Primes with at least one of each odd digit and no even digits.
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2
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13597, 13759, 15739, 15937, 15973, 17359, 17539, 19753, 31957, 37159, 37591, 37951, 39157, 51973, 53197, 53719, 53791, 53917, 57139, 57193, 71359, 71593, 73951, 75193, 75391, 75913, 75931, 79153, 79531, 91573, 91753, 95317, 95713, 95731
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OFFSET
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1,1
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COMMENTS
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No even digits are allowable. Otherwise the first missing terms would be 105379, 105397, 109357, 109537. - Zak Seidov, Nov 24 2013
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LINKS
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MATHEMATICA
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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 *)
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PROG
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(Python)
from sympy import isprime
from itertools import count, islice, product
def agen():
for d in count(5):
for p in product("13579", repeat=d):
if set(p) != set("13579"): continue
t = int("".join(p))
if isprime(t): yield t
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CROSSREFS
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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}).
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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Added missing last term with 5 different digits, Carmine Suriano, Jan 14 2011
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STATUS
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approved
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