%I #19 Jan 31 2022 06:48:34

%S 8,15,50,552,668,1011,1163,1215,2199,4230,7231,34310

%N Numbers m such that 8^m reversed is prime.

%C From _Bernard Schott_, Jan 30 2022: (Start)

%C If k is a term, then u = 3*k is a term of A057708, because 8^k = 2^(3k).

%C If k is an even term, then t = 3*k/2 is a term of A350441, because 8^k = 4^(3k/2). First examples: k = 8, 50, 552, 668, 4230, 34310, ... and corresponding t = 12, 75, 828, 1002, 6345, 51465, ... (End)

%t Select[Range[2200], PrimeQ[IntegerReverse[8^#]] &] (* _Amiram Eldar_, Dec 31 2021 *)

%o (PARI) isok(m) = isprime(fromdigits(Vecrev(digits(8^m))))

%o (Python)

%o from sympy import isprime

%o m = 8

%o for n in range (1, 2000):

%o if isprime(int(str(m)[::-1])):

%o print(n)

%o m *= 8

%Y Cf. A059003, A071586.

%Y Cf. Numbers m such that k^m reversed is prime: A057708 (k=2), A350441 (k=4), A058993 (k=5), A058994 (k=7), A058995 (k=13).

%K nonn,base,more

%O 1,1

%A _Mohammed Yaseen_, Dec 31 2021

%E a(10)-a(12) from _Amiram Eldar_, Dec 31 2021