Search: id:A014210
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%I A014210
%S A014210 2,3,5,11,17,37,67,131,257,521,1031,2053,4099,8209,16411,32771,65537,
%T A014210 131101,262147,524309,1048583,2097169,4194319,8388617,16777259,
%U A014210 33554467,67108879,134217757,268435459,536870923,1073741827,2147483659
%N A014210 Next prime after 2^n.
%C A014210 Except for a(1) = 3 instead of 2, a(n) is the least prime obtained as 
               a binomial transform of n numbers. E.g. a(5) = (1,5,10,10,5,1).(1,
               1,1,1,1,6)= 37. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), 
               Nov 26 2003
%p A014210 [ seq( nextprime( 2^i ),i=0..40) ];
%t A014210 NextPrime[ n_Integer] := (k = n + 1; While[ !PrimeQ[k], k++ ]; k); Table[ 
               NextPrime[2^n], {n, 0, 35} ]
%Y A014210 Cf. A014211, A054321.
%Y A014210 Sequence in context: A055498 A073021 A079370 this_sequence A014556 A062737 
               A085613
%Y A014210 Adjacent sequences: A014207 A014208 A014209 this_sequence A014211 A014212 
               A014213
%K A014210 nonn
%O A014210 0,1
%A A014210 N. J. A. Sloane (njas(AT)research.att.com).

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