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

3, 43, 59, 73, 233, 353

Offset: 1

Author

Vincenzo Librandi, Jan 04 2015

Keywords

• nonn
• base
• more

Comments

a(7) > 10^7.

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

Examples

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

Crossrefs

Cf. similar sequences listed in A253574.

Programs

Mathematica

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

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