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A253576 Primes p such that digits of p do not appear in p^7. 2
3, 7, 43, 7757, 31333 (list; graph; refs; listen; history; text; internal format)
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 * A328690 A019011 A036842

Adjacent sequences:  A253573 A253574 A253575 * A253577 A253578 A253579

KEYWORD

nonn,base,more

AUTHOR

Vincenzo Librandi, Jan 04 2015

STATUS

approved

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Last modified May 16 04:38 EDT 2022. Contains 353688 sequences. (Running on oeis4.)