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A205150 s(k)-s(j), where (s(k),s(j)) is the least such pair for which n divides their difference, and s(j)=prime(j)*prime(j+1). 4

%I #10 Jul 23 2021 09:00:12

%S 9,20,9,20,20,42,42,128,9,20,66,108,78,42,180,128,102,108,114,20,42,

%T 66,230,144,850,78,108,308,29,180,62,128,66,102,2485,108,370,114,78,

%U 360,246,42,215,308,180,230,893,144,294,850,102,884,636,108,1980

%N s(k)-s(j), where (s(k),s(j)) is the least such pair for which n divides their difference, and s(j)=prime(j)*prime(j+1).

%C For a guide to related sequences, see A204892.

%H Michel Marcus, <a href="/A205150/b205150.txt">Table of n, a(n) for n = 1..10000</a>

%t (See the program at A205146.)

%o (PARI) s(m) = prime(m)*prime(m+1);

%o isok(k, n) = my(sk=s(k)); for (j=1, k-1, if (!Mod(sk-s(j), n), return (j)));

%o a(n) = my(k=1, x); while (!(j=isok(k, n)), k++); s(k) - s(j); \\ _Michel Marcus_, Jul 23 2021

%Y Cf. A205146, A204892.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 25 2012

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Last modified July 16 18:33 EDT 2024. Contains 374358 sequences. (Running on oeis4.)