The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A337574

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A337574

a(n) is the dot product of the vectors of the first n primes and the next n primes.
(history; published version)

#15 by Harvey P. Dale at Sat Mar 30 17:12:37 EDT 2024

STATUS

editing

approved

#14 by Harvey P. Dale at Sat Mar 30 17:12:34 EDT 2024

MATHEMATICA

Table[Prime[Range[n]].Prime[Range[n+1, 2n]], {n, 50}] (* Harvey P. Dale, Mar 30 2024 *)

STATUS

approved

editing

#13 by Alois P. Heinz at Wed Sep 02 14:48:30 EDT 2020

STATUS

editing

approved

#12 by Alois P. Heinz at Wed Sep 02 14:48:13 EDT 2020

CROSSREFS

Cf. A000040, A337573 (n such that a(n) is prime).

#11 by Alois P. Heinz at Wed Sep 02 14:47:50 EDT 2020

FORMULA

a(n) = Sum_{1<=k<=1..n} prime(k)*prime(n+k).

STATUS

proposed

editing

#10 by Michel Marcus at Wed Sep 02 14:45:10 EDT 2020

STATUS

editing

proposed

#9 by Michel Marcus at Wed Sep 02 14:45:07 EDT 2020

PROG

(PARI) a(n) = sum(k=1, n, prime(k)*prime(n+k)); \\ Michel Marcus, Sep 02 2020

CROSSREFS

Cf. A033994 (similar when prime(n) is replaced with n).

STATUS

approved

editing

#8 by Joerg Arndt at Wed Sep 02 01:38:39 EDT 2020

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reviewed

approved

#7 by Michel Marcus at Wed Sep 02 00:57:25 EDT 2020

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proposed

reviewed

#6 by Robert Israel at Wed Sep 02 00:28:24 EDT 2020

STATUS

editing

proposed