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A030086
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Primes p whose digits do not appear in p^2.
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4
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2, 3, 7, 17, 29, 47, 53, 59, 67, 79, 157, 173, 257, 307, 313, 349, 353, 359, 409, 449, 467, 547, 557, 577, 659, 673, 677, 739, 787, 853, 929, 1447, 1607, 1747, 2029, 2087, 2113, 2237, 3257, 3359, 3467, 3533, 3559, 3767, 3779, 4253, 4337, 4787, 5333, 5557, 5659
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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2 and 2^2 = 4 have no digits in common, hence 2 is in the sequence.
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MATHEMATICA
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Select[Prime[Range[700]], Intersection[IntegerDigits[#], IntegerDigits[ #^2]] == {}&] (* Harvey P. Dale, Oct 02 2014 *)
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PROG
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(PARI) lista(nn) = {forprime (n=1, nn, if (#setintersect(Set(vecsort(digits(n^2))), Set(vecsort(digits(n)))) == 0, print1(n, ", ")); ); } \\ Michel Marcus, Jan 04 2015
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CROSSREFS
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Cf. A029783 (numbers n whose digits are not present in n^2).
Cf. similar sequences listed in A253574.
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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