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A074325 Difference between (1+2^n)-th and (2^n)-th primes. Also number of terms in blocks of A073798. 5

%I #16 Aug 30 2019 14:09:49

%S 1,2,4,4,6,6,2,8,2,2,6,18,18,30,8,24,6,2,18,4,26,30,34,2,10,30,10,2,

%T 30,6,70,4,12,22,6,24,26,10,88,2,50,18,6,20,14,4,12,6,2,56,4,30,42,6,

%U 70,74,14,60

%N Difference between (1+2^n)-th and (2^n)-th primes. Also number of terms in blocks of A073798.

%F a(n) = A051439(n) - A033844(n).

%e n=39: 2^39=549755813888, prime[549755813889]=16149760533343, prime[549755813888]=16149760533341, difference=2, just twin primes.

%t Table[Prime[1+2^w]-Prime[2^w], {w, 1, 39}]

%Y Cf. A051439, A033844, A073798, A000079.

%K nonn,hard

%O 0,2

%A _Labos Elemer_, Aug 21 2002

%E More terms from _Michel ten Voorde_ Jun 13 2003

%E a(42) from _Max Alekseyev_, May 08 2009

%E Offset corrected by _Max Alekseyev_, Oct 24 2013

%E a(43)-a(57) from _Chai Wah Wu_, Aug 30 2019

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Last modified May 7 02:36 EDT 2024. Contains 372300 sequences. (Running on oeis4.)