A087356 - OEIS

%I #10 Dec 25 2015 02:58:57

%S 2,3,5,13,17,8209,8273,10321,10337,10369,11393,34359749761,

%T 34359815297,34393369729,34460478593,34461002881,34461006977

%N Beginning with 2, smallest primes such that a(k)-a(k-1) is a distinct power of 2.

%C a(20) > 2^20000 if it exists. - _Robert Israel_, Dec 24 2015

%H Robert Israel, <a href="/A087356/b087356.txt">Table of n, a(n) for n = 0..19</a>

%e a(5) = 17, smallest prime of the form 17 + 2^r ( r >3) is r = 13 and a(6)= 8209, a(6) - a(5) = 8192 = 2^13.

%p A[0]:= 2:

%p P:= [seq(2^i,i=0..10000)]:

%p for n from 1 do

%p   for i from 1 to nops(P) do

%p      if isprime(A[n-1]+P[i]) then

%p         A[n]:= A[n-1]+P[i];

%p         P:= subsop(i=NULL,P);

%p         break

%p      fi

%p   od;

%p   if not assigned(A[n]) then break fi;

%p od:

%p seq(A[i],i=0..n-1); # _Robert Israel_, Dec 24 2015

%Y Cf. A087357.

%K nonn

%O 0,1

%A _Amarnath Murthy_, Sep 08 2003

%E More terms from _David Wasserman_, May 12 2005