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

3, 877

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

Links

Table of n, a(n) for n=1..2.

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

Adjacent sequences: A253575 A253576 A253577 * A253579 A253580 A253581

Keyword

nonn,base,bref,more

Author

Vincenzo Librandi, Jan 05 2015

Status

approved