A030090 - OEIS

A030090

Primes p such that digits of p do not appear in p^2 or p^3 (probably finite).

2, 3, 7, 47, 53, 157, 577

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OFFSET

1,1

COMMENTS

No additional terms in the first 1 million primes. - Harvey P. Dale, Apr 25 2018

LINKS

MATHEMATICA

Select[Prime[Range[1000000]], Intersection[Union[Flatten[ IntegerDigits/@ {#^2, #^3}]], IntegerDigits[#]] == {}&] (* Harvey P. Dale, Apr 25 2018 *)

CROSSREFS

Primes in A029790.

KEYWORD

nonn,base,hard

AUTHOR

EXTENSIONS

Offset changed by Andrew Howroyd, Aug 13 2024

STATUS

approved