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Primes having only {3, 4, 5, 9} as digits.
1

%I #6 Jul 18 2025 16:50:03

%S 3,5,43,53,59,349,353,359,433,439,443,449,499,593,599,953,3343,3359,

%T 3433,3449,3499,3533,3539,3559,3593,3943,4339,4349,4493,4549,4933,

%U 4943,4993,4999,5333,5393,5399,5443,5449,5939,5953,9343,9349,9433,9439,9533,9539,9949

%N Primes having only {3, 4, 5, 9} as digits.

%H Jason Bard, <a href="/A386172/b386172.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Pri#PrimesWithDigits">Index to entries for primes with digits in a given set</a>

%t Flatten[Table[Select[FromDigits /@ Tuples[{3, 4, 5, 9}, n], PrimeQ], {n, 7}]]

%o (Magma) [p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 4, 5, 9]];

%o (Python) print(list(islice(primes_with("3459"), 41))) # uses function/imports in A385776

%o (PARI) primes_with(, 1, [3, 4, 5, 9]) \\ uses function in A385776

%Y Supersequence of A199345, A199349, A260227, A385793.

%Y Cf. A000040, A385776.

%K nonn,base,easy

%O 1,1

%A _Jason Bard_, Jul 18 2025