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A091282 Exponent of 2 in prime(n)^2 - 1. 3

%I #9 Dec 20 2013 09:06:45

%S 0,3,3,4,3,3,5,3,4,3,6,3,4,3,5,3,3,3,3,4,4,5,3,4,6,3,4,3,3,5,8,3,4,3,

%T 3,4,3,3,4,3,3,3,7,7,3,4,3,6,3,3,4,5,5,3,9,4,3,5,3,4,3,3,3,4,4,3,3,5,

%U 3,3,6,4,5,3,3,8,3,3,5,4,3,3,5,5,4,3,7,4,3,5,3,6,4,3,3,4,3,4,3,3,3,3,3,4,3

%N Exponent of 2 in prime(n)^2 - 1.

%C Also, exponent of 2 in -1+prime(n)^s if s is an exponent of the form 4k+2 (previous definition). - _Michel Marcus_, Dec 20 2013

%C Primes that give records for this sequence can be found in A233930. - _Michel Marcus_, Dec 20 2013

%e a(1)=0 since -1+2^s is always odd...

%o (PARI) a(n) = valuation(prime(n)^2-1, 2); \\ _Michel Marcus_, Dec 20 2013

%Y Cf. A007814, A023506, A091283, A091284.

%K nonn

%O 1,2

%A _Labos Elemer_, Jan 20 2004

%E Definition modified by _Michel Marcus_, Dec 20 2013

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Last modified April 19 03:46 EDT 2024. Contains 371782 sequences. (Running on oeis4.)