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Primes without {3, 9} as digits.
1

%I #7 Jul 20 2025 08:56:08

%S 2,5,7,11,17,41,47,61,67,71,101,107,127,151,157,167,181,211,227,241,

%T 251,257,271,277,281,401,421,457,461,467,487,521,541,547,557,571,577,

%U 587,601,607,617,641,647,661,677,701,727,751,757,761,787,811,821,827,857

%N Primes without {3, 9} as digits.

%H Jason Bard, <a href="/A386344/b386344.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 Select[Prime[Range[120]], DigitCount[#, 10, 3] == 0 && DigitCount[#, 10, 9] == 0 &]

%o (Magma) [p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 4, 5, 6, 7, 8]];

%o (Python) print(list(islice(primes_with("01245678"), 41))) # uses function/imports in A385776

%o (PARI) primes_with(, 1, [0, 1, 2, 4, 5, 6, 7, 8]) \\ uses function in A385776

%Y Intersection of A038611 and A038617.

%Y Cf. A000040, A385776.

%K nonn,base,easy

%O 1,1

%A _Jason Bard_, Jul 20 2025