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A030087
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Primes such that digits of p do not appear in p^3.
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2
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2, 3, 7, 43, 47, 53, 157, 223, 263, 487, 577, 587, 823, 4657, 5657, 6653, 7177, 8287, 9343, 26777, 36293, 46477, 58787, 72727, 75707, 176777, 363313, 530353, 566653, 959953, 1771787, 2525557, 2555353, 2626277, 3656363, 4414447, 7110707, 8448343, 20700077, 54475457, 71117177, 72722977, 135135113, 393321293, 457887457, 505053053, 672722627
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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 2^3=8 have no digits in common, hence 2 is in the sequence.
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MATHEMATICA
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Select[Prime[Range[1500000]], Intersection[IntegerDigits[#], IntegerDigits[#^3]]=={} &] (* Vincenzo Librandi, Jan 04 2015 *)
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PROG
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(PARI) lista(nn) = {forprime (n=1, nn, if (#setintersect(Set(vecsort(digits(n^3))), Set(vecsort(digits(n)))) == 0, print1(n, ", ")); ); } \\ Michel Marcus, Jan 04 2015
(Python)
from sympy import isprime
A030087_list = [n for n in range(1, 10**6) if set(str(n)) & set(str(n**3)) == set() and isprime(n)]
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CROSSREFS
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Cf. A029785 (digits of n are not present in n^3), A030086 (similar, with p^2), A253574 (similar, with p^4).
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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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