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Smallest prime of the form (2n-1)^k + 2, or 0 if no such number exists.
7

%I #12 May 05 2026 10:47:34

%S 3,5,7,0,11,13,0,17,19,0,23,952809757913929,0,29,31,0,1091,37,0,41,43,

%T 0,47

%N Smallest prime of the form (2n-1)^k + 2, or 0 if no such number exists.

%C a(3n+1) = 0, a(24) = 47^113 - 2 is a 189-digit number.

%H Sean A. Irvine, <a href="/A084713/b084713.txt">Table of n, a(n) for n = 1..83</a>

%e a(12) = 952809757913927 = 23^11 + 2.

%Y Cf. A084714.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Jun 10 2003

%E Edited by _Robert G. Wilson v_, Jun 11 2003