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A253297 Primes p for which some multiple k*p > 2*p appears before p does in A098550. 3

%I #10 Dec 30 2014 09:30:47

%S 5,7,13,17,23,29,41,67,83,97

%N Primes p for which some multiple k*p > 2*p appears before p does in A098550.

%C It is conjectured (see A098550) that there are no more terms of the sequence.

%C Corresponding indices in A098550 are {9, 15, 23, 30, 51, 61, 87, 142, 175, 204}; indices in A000040 are {3, 4, 6, 7, 9, 10, 13, 19, 23, 25}.

%C A098550(A098551(a(n)) - 2) / a(n) > 2. - _Reinhard Zumkeller_, Dec 30 2014

%o (Haskell)

%o a253297 n = a253297_list !! (n-1)

%o a253297_list = f a098550_list where

%o f (u:vs@(_:v:_)) = if a010051' v == 1 && div u v > 2

%o then v : f vs else f vs

%o -- _Reinhard Zumkeller_, Dec 30 2014

%Y Cf. A098550.

%Y Cf. A010051, A098551, A251239, A251541.

%K nonn

%O 1,1

%A _L. Edson Jeffery_, Dec 29 2014

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Last modified May 1 05:44 EDT 2024. Contains 372148 sequences. (Running on oeis4.)