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a(n) is the minimal number of parallel straight lines needed to intersect all points (k, prime(k)) for k = 1..n (where prime(k) denotes the k-th prime number).
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%I #8 Aug 20 2024 13:19:56

%S 1,1,2,2,3,3,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,8,8,9,9,

%T 10,11,11,12,12,13,14,14,15,16,16,16,17,18,18,19,19,19,19,20,21,21,22,

%U 22,22,22,22,22,23,24,25,25,26,26,26,26,26,26,26,26

%N a(n) is the minimal number of parallel straight lines needed to intersect all points (k, prime(k)) for k = 1..n (where prime(k) denotes the k-th prime number).

%H Rémy Sigrist, <a href="/A375502/b375502.txt">Table of n, a(n) for n = 1..1000</a>

%H Rémy Sigrist, <a href="/A375502/a375502.gp.txt">PARI program</a>

%o (PARI) \\ See Links section.

%Y Cf. A373811, A375433, A373813.

%K nonn

%O 1,3

%A _Rémy Sigrist_, Aug 18 2024