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a(1) = 1; a(n+1) is the least prime of the form (2^k)*a(n)+-1, for some positive k.
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%I #4 Oct 19 2017 03:14:17

%S 1,3,5,11,23,47,751,6007,24029,192233,768931,98423167,206408341520383,

%T 54108708279519281153,907793486286483356068610047,

%U 58098783122334934788391043009

%N a(1) = 1; a(n+1) is the least prime of the form (2^k)*a(n)+-1, for some positive k.

%e a(7) = 751 because a(6)=47 and in 2*47-1, 2*47+1, 4*47-1, 4*47+1, ... 16*47-1, ...: 751 is the first prime.

%Y Cf. A083201.

%K nonn

%O 1,2

%A _Don Reble_, Jun 21 2003