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Primes for which the weight as defined in A117078 is 23.
9

%I #9 Jul 15 2012 09:15:08

%S 631,773,2467,2833,3121,3203,3347,3617,4219,4733,4909,4951,5273,6619,

%T 7027,7129,7529,8263,8783,9049,9413,9643,9649,10891,11483,11719,12541,

%U 13093,13183,13841,14243,14293,14851,15121,15629,15667,15671,15761

%N Primes for which the weight as defined in A117078 is 23.

%C The prime numbers in this sequence are of the form (56i-23+gap) with i=(level(n)+1)/2, level(n) defined in A117563.

%H Remi Eismann, <a href="/A119504/b119504.txt">Table of n, a(n) for n = 1..10000</a>

%F A117078 : a(n) = smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists. prime(n) for which k=23.

%e a(1) = prime(115) = 631 because prime(116) = prime(115) + (prime(115) mod 53) = 641

%e g(n) = 641 - 631 = 10

%e Prime(115) + 23 - 10 = 644, 644/46 = 14

%Y Cf. A117078, A118359, A001359, A118380, A118924, A118922.

%K nonn

%O 1,1

%A _RĂ©mi Eismann_, May 27 2006, May 04 2007