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 A235622 Primes whose base 8 representation also is the base 7 representation of a prime. 2
 2, 3, 5, 19, 53, 89, 109, 131, 257, 293, 307, 347, 349, 433, 523, 557, 683, 739, 811, 853, 881, 907, 937, 941, 1061, 1097, 1117, 1201, 1427, 1621, 1693, 1733, 1747, 1861, 1873, 1889, 1907, 2141, 2267, 2341, 2467, 2677, 2699, 2803, 2861, 2917, 2953, 3163, 3253, 3307, 3433 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence is part of the two dimensional array of sequences based on this same idea for any two different bases b, c > 1. Sequence A235265 and A235266 are the most elementary ones in this list. Sequences A089971, A089981 and A090707 through A090721, and sequences A065720 - A065727, follow the same idea with one base equal to 10. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE E.g., 19 = 23[8] and 23[7] = 17 both are prime. MATHEMATICA pb87Q[n_]:=Module[{idn8=IntegerDigits[n, 8]}, Max[idn8]<7&&PrimeQ[ FromDigits[ idn8, 7]]]; Select[Prime[Range[500]], pb87Q] (* Harvey P. Dale, Dec 13 2016 *) PROG (PARI) is(p, b=7, c=8)=vecmax(d=digits(p, c))

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Last modified April 16 18:53 EDT 2021. Contains 343050 sequences. (Running on oeis4.)