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a(n) = 2^x, where x = p*(p-1)/2 and p is the n-th prime.
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%I #13 Sep 03 2024 19:20:57

%S 2,8,1024,2097152,36028797018963968,302231454903657293676544,

%T 87112285931760246646623899502532662132736,

%U 2993155353253689176481146537402947624255349848014848

%N a(n) = 2^x, where x = p*(p-1)/2 and p is the n-th prime.

%H Harry J. Smith, <a href="/A061591/b061591.txt">Table of n, a(n) for n = 1..22</a>

%t Table[2^((p(p-1))/2),{p,Prime[Range[10]]}] (* _Harvey P. Dale_, Sep 03 2024 *)

%o (PARI) { n=0; forprime (p=2, prime(22), write("b061591.txt", n++, " ", 2^(p*(p - 1)/2)) ) } \\ _Harry J. Smith_, Jul 25 2009

%Y Cf. A007955, A006308. The exponents x are in A008837.

%K nonn

%O 1,1

%A _Labos Elemer_, May 22 2001

%E Offset changed from 2 to 1 by _Harry J. Smith_, Jul 25 2009