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A253575
Primes p such that digits of p do not appear in p^6.
1
2, 3, 13, 44449
OFFSET
1,1
COMMENTS
a(5)> 10^7.
a(5) > 10^9. - Chai Wah Wu, Jan 05 2015
EXAMPLE
2 and 2^6 = 64 have no digits in common, hence 2 is in the sequence.
MATHEMATICA
Select[Prime[Range[1000000]], Intersection[IntegerDigits[#], IntegerDigits[#^6]]=={} &]
PROG
(Python)
from sympy import isprime
A253575_list = [n for n in range(1, 10**6) if set(str(n)) & set(str(n**6)) == set() and isprime(n)]
# Chai Wah Wu, Jan 05 2015
CROSSREFS
Cf. similar sequences listed in A253574.
Sequence in context: A094003 A119987 A093553 * A027673 A306039 A285933
KEYWORD
nonn,base,more
AUTHOR
Vincenzo Librandi, Jan 04 2015
STATUS
approved