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A291463 a(n) is the product of n-th prime number with the distance to the next prime. 1
2, 6, 10, 28, 22, 52, 34, 76, 138, 58, 186, 148, 82, 172, 282, 318, 118, 366, 268, 142, 438, 316, 498, 712, 388, 202, 412, 214, 436, 1582, 508, 786, 274, 1390, 298, 906, 942, 652, 1002, 1038, 358, 1810, 382, 772, 394, 2388, 2532, 892, 454, 916, 1398, 478, 2410 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..53.

FORMULA

a(n) = prime(n)*(prime(n+1) - prime(n)).

a(n) = A000040(n)*A001223(n). - Michel Marcus, Aug 25 2017

EXAMPLE

For n = 6 prime(6) = 13, prime(7) = 17 the gap is 17 - 13 = 4. So 13 * 4 = 52 and 52 is the sixth term.

MATHEMATICA

Array[With[{p = Prime@ #}, p (NextPrime[p] - p)] &, 50] (* Michael De Vlieger, Sep 03 2017 *)

PROG

(PARI) forprime(p=2, 200, print1(p*nextprime(p+1)-p^2, ", "))

CROSSREFS

Cf. A000040, A001223, A048852.

Sequence in context: A319014 A190034 A119459 * A192616 A243393 A102581

Adjacent sequences:  A291460 A291461 A291462 * A291464 A291465 A291466

KEYWORD

nonn

AUTHOR

Dimitris Valianatos, Aug 24 2017

STATUS

approved

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Last modified September 24 06:13 EDT 2021. Contains 347623 sequences. (Running on oeis4.)