This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A296563 #18 Apr 03 2023 10:36:13
%S A296563 23,43,73,229,233,277,449,773,937,947,2239,2243,2297,2377,2777,3299,
%T A296563 3449,3727,3943,4243,4423,4493,7393,7723,7927,7949,9227,9743,9749,
%U A296563 22277,22727,22777,22943,23327,23399,23497,23747,24473,24733,27239,27277,27427,27799,29347
%N A296563 Yarborough primes that remain Yarborough primes when each of their digits are replaced by their cubes.
%C A296563 A Yarborough prime is a prime that does not contain digits 0 or 1.
%H A296563 Chris C. Caldwell, <a href="https://t5k.org/glossary/xpage/YarboroughPrime.html">Yarborough prime</a>
%F A296563 {A106116(k): A048390(A106116(k)) in A106116} . - _R. J. Mathar_, May 04 2018
%e A296563 a(1) = 23 is a prime, and replacing each of its digits by its cube yields 827, which is also prime. Neither 23 nor 827 contains digits 0 or 1, so both are Yarborough primes.
%e A296563 a(4) = 229 is a prime, and replacing each of its digits by its cube gives 88729, which is also prime. Neither 229 nor 88729 contains digits 0 or 1, so both are Yarborough primes.
%e A296563 29 is a Yarborough prime but 8729 = 7 * 29 * 43, so 29 is not in the sequence.
%e A296563 53 is a Yarborough prime; 12527 is also a prime but not a Yarborough prime (contains digit 1). Hence, 53 is not included in this sequence.
%t A296563 k = 3; Select[Prime[Range[10000]], Min[IntegerDigits[#]] > 1 && Min[IntegerDigits[Flatten[IntegerDigits[(IntegerDigits[#]^k)]]]] > 1 && PrimeQ[FromDigits[Flatten[IntegerDigits[(IntegerDigits[#]^k)]]]] &]
%Y A296563 Cf. A106116 (Yarborough primes), A296187 (digits to squares), A048390, A277047.
%K A296563 nonn,base,less
%O A296563 1,1
%A A296563 _K. D. Bajpai_, Feb 15 2018