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Difference between the smallest 10^n-bit prime and 2^(10^n-1).
0

%I #6 Jul 10 2015 20:13:17

%S 9,255,1239,5895,221961

%N Difference between the smallest 10^n-bit prime and 2^(10^n-1).

%C a(5) found by _Serge Batalov_, Jun 11 2012.

%H Henri Lifchitz, Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/prptop.php">Probable Primes Top 10000.</a>

%e 2^99+255 is the smallest 100-bit prime, 2^999+1239 is the smallest 1000-bit prime, etc.

%o (PARI) a(n)=nextprime(2^(10^n-1))-2^(10^n-1)

%Y Binary analog of A096548.

%K nonn,hard

%O 1,1

%A _Charles R Greathouse IV_, Jun 16 2012