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A245576
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Primes p such that p and p^2 lack the zero digit in their decimal expansions.
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3
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2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 59, 61, 67, 73, 79, 83, 89, 113, 127, 131, 137, 139, 157, 163, 167, 173, 181, 191, 193, 211, 223, 227, 229, 233, 239, 263, 269, 271, 277, 281, 293, 311, 313, 337, 359, 367, 373, 379, 383, 389, 419, 421, 431, 433
(list;
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listen;
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internal format)
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OFFSET
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1,1
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COMMENTS
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Subsequence ofA052042.First terms that are inA052042but not here: 107, 109, 307, 409.
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LINKS
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MATHEMATICA
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fQ[n_]:= Min[IntegerDigits[n]] > 0; Select[Prime @ Range @ 90, fQ[#] && fQ[#^2] &]
Select[Prime[Range[100]], FreeQ[{IntegerDigits[#], IntegerDigits[#^2]}, 0]&] (*Harvey P. Dale,Jun 14 2024 *)
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PROG
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(PARI) (vmd (n) = vecmin (digits (n))); p = 2; for (k = 1, 300, if (vmd (p) > 0 && vmd (p^2) > 0, print1 (p "," )); p = nextprime (1 + p))
(Python)
from sympy import prime
A245576_list = [p for p in (prime(i) for i in range(1, 10**4)) if not(str(p).count('0') or str(p**2).count('0'))]
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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