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A253578 Primes p such that digits of p do not appear in p^10. 1
3, 877 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 20:09 EDT 2021. Contains 348044 sequences. (Running on oeis4.)