A253576 Primes p such that digits of p do not appear in p^7.

3, 7, 43, 7757, 31333

Offset

1,1

Comments

a(6)> 10^7.

a(6) > 10^9. - Chai Wah Wu, Jan 05 2015

Links

Table of n, a(n) for n=1..5.

Example

3 and 3^7 = 2187 have no digits in common, hence 3 is in the sequence.

Mathematica

Select[Prime[Range[1000000]], Intersection[IntegerDigits[#], IntegerDigits[#^7]]=={} &]

Prog

(Python)
from sympy import isprime
A253576_list = [n for n in range(1, 10**6) if set(str(n)) & set(str(n**7)) == set() and isprime(n)]
# Chai Wah Wu, Jan 05 2015

Crossrefs

Cf. similar sequences listed in A253574.

Sequence in context: A050639 A280717 A100837 * A354428 A328690 A019011

Adjacent sequences: A253573 A253574 A253575 * A253577 A253578 A253579

Keyword

nonn,base,more

Author

Vincenzo Librandi, Jan 04 2015

Status

approved