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A226524 Cubes which are the sum of two consecutive primes. 5
8, 216, 21952, 74088, 373248, 4251528, 5268024, 10648000, 10941048, 12812904, 14886936, 16003008, 25934336, 40707584, 54872000, 59319000, 114791256, 132651000, 199176704, 209584584, 259694072, 269586136, 306182024, 345948408, 373248000, 543338496, 567663552 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A074925(n)^3 = A000040(i) + A000040(i+1) with i = A071220(n) = A000720(A061308(n)). - M. F. Hasler, Jan 03 2020

EXAMPLE

a(2) = 216: prime(28) + prime(29) = 107 + 109 = 216 = 6^3.

MAPLE

KD: = proc() local a, b, c;  a: = ithprime(n) + ithprime(n+1); b:= evalf(a^(1/3)); if b=floor(b) then RETURN(a):  fi; end: seq(KD(), n=1..1000000);

PROG

(PARI) n=0; forstep(j=2, 55778, 2, c=j^3; c2=c/2; if(precprime(c2)+nextprime(c2)==c, n++; write("b226524.txt", n " " c))) /* Donovan Johnson, Sep 02 2013 */

(PARI) A226524(n)=A074925(n)^3 \\ M. F. Hasler, Jan 03 2020

CROSSREFS

Cubes in A001043.

Cf. A062703 (analog for squares), A061308 (lesser of the consecutive primes), A071220 (index of that prime), A074925 (a(n)^(1/3)).

Sequence in context: A000442 A268471 A342598 * A115964 A245591 A247539

Adjacent sequences:  A226521 A226522 A226523 * A226525 A226526 A226527

KEYWORD

nonn,easy

AUTHOR

K. D. Bajpai, Aug 31 2013

EXTENSIONS

Edited by M. F. Hasler, Jan 03 2020

STATUS

approved

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Last modified December 8 12:28 EST 2021. Contains 349596 sequences. (Running on oeis4.)