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A307647 Numbers that are the sum of a prime number and a positive cube. 2
3, 4, 6, 8, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 24, 25, 27, 29, 30, 31, 32, 34, 37, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 54, 55, 56, 58, 60, 61, 62, 64, 66, 67, 68, 69, 70, 71, 72, 74, 75, 77, 79, 80, 81, 83, 84, 86, 87, 88, 90, 91, 93, 94, 95, 97, 98, 100, 101, 102, 104, 105 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

FORMULA

Exponents in expansion of (Sum_{i>=1} x^prime(i)) * (Sum_{j>=1} x^(j^3)).

MAPLE

N:= 200: # for terms <= N

P:= select(isprime, [2, seq(i, i=3..N-1, 2)]):

C:= [seq(j^3, j=1..floor((N-2)^(1/3)))]:

sort(convert(select(`<=`, {seq(seq(p+c, p=P), c=C)}, N), list)); # Robert Israel, Apr 22 2019

CROSSREFS

Cf. A000040, A000578, A058654, A211167, A283760, A307646.

Sequence in context: A135251 A298809 A335194 * A088070 A175071 A336822

Adjacent sequences:  A307644 A307645 A307646 * A307648 A307649 A307650

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 19 2019

STATUS

approved

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Last modified November 29 21:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)