A253578 Primes p such that digits of p do not appear in p^10.

3, 877

Offset: 1

Author

Vincenzo Librandi, Jan 05 2015

Keywords

• nonn
• base
• bref
• more

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

Examples

			3 and 3^10 = 59049 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[#^10]]=={} &]

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