A253577 Primes p such that digits of p do not appear in p^8.

3, 43, 59, 73, 233, 353

Offset

1,1

Comments

a(7) > 10^7.

Subsequence of A253606. a(7) > 10^9. - Chai Wah Wu, Jan 05 2015

Links

Table of n, a(n) for n=1..6.

Example

3 and 3^8 = 6561 have no digits in common, hence 3 is in the sequence.

Mathematica

Select[Prime[Range[1000000]], Intersection[IntegerDigits[#], IntegerDigits[#^8]]=={} &]

Prog

(Python)
from sympy import isprime
A253577_list = [n for n in range(1, 10**6) if set(str(n)) & set(str(n**8)) == set() and isprime(n)]
# Chai Wah Wu, Jan 05 2015

Crossrefs

Cf. similar sequences listed in A253574.

Sequence in context: A157572 A332973 A137192 * A337213 A059802 A139854

Adjacent sequences: A253574 A253575 A253576 * A253578 A253579 A253580

Keyword

nonn,base,more

Author

Vincenzo Librandi, Jan 04 2015

Status

approved