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A130796 Primes p such that nextprime(p)-p is not power of 2. 2

%I #11 Nov 21 2013 12:49:05

%S 23,31,47,53,61,73,83,113,131,139,151,157,167,173,181,199,211,233,241,

%T 251,257,263,271,283,293,317,331,337,353,367,373,383,409,421,433,443,

%U 467,503,509,523,541,547,557,563,571,577,587,593,601,607,619,631,647

%N Primes p such that nextprime(p)-p is not power of 2.

%C Indices of primes are 9,11,15,16,18,21,23,30,32,34,36,37,39,40,42,46,47,51, 53,54,55,56,58,61,62,66,... (subsequence of A113339).

%t <<NumberTheory`NumberTheoryFunctions`; c=0;p=2; Do[p1=NextPrime[p];If[ !IntegerQ[Log[2, p1-p]],c++;a[c]=p];p=p1,{200}];Table[a[i],{i,c}]

%t Select[Prime[Range[200]],!IntegerQ[Log[2,NextPrime[#]-#]]&] (* _Harvey P. Dale_, Apr 20 2011 *)

%Y Cf. A001223 Differences between consecutive primes, A082509 Differences between consecutive primes that are not powers of 2, A082508 Differences between consecutive primes that are powers of 2, A113339 Integers n such that prime(n+1)-prime(n) is nonprime, squarefree.

%K nonn

%O 1,1

%A _Zak Seidov_, Aug 20 2007

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