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A253578
Primes p such that digits of p do not appear in p^10.
1
OFFSET
1,1
COMMENTS
a(3) > 10^7.
Numbers n < 10^7 such that digits of n are not present in n^10: 3, 9, 18, 877, 5757.
a(3) > 10^10. - Chai Wah Wu, Jan 15 2015
EXAMPLE
3 and 3^10 = 59049 have no digits in common, hence 3 is in the sequence.
MATHEMATICA
Select[Prime[Range[1000000]], Intersection[IntegerDigits[#], IntegerDigits[#^10]]=={} &]
PROG
(Python)
from sympy import isprime
A253578_list = [n for n in range(1, 10**6) if set(str(n)) & set(str(n**10)) == set() and isprime(n)] # Chai Wah Wu, Jan 15 2015
CROSSREFS
Cf. similar sequences listed in A253574.
Sequence in context: A093189 A163430 A203688 * A167472 A199040 A094592
KEYWORD
nonn,base,bref,more
AUTHOR
Vincenzo Librandi, Jan 05 2015
STATUS
approved