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A102618 Numbers which are the sum of two positive cubes and divisible by 37. 6
370, 407, 1332, 2331, 2960, 3256, 4921, 5957, 8029, 8288, 9990, 10656, 10989, 12691, 12913, 13357, 13949, 14023, 14911, 16021, 16354, 17353, 18648, 18907, 19684, 19721, 20683, 22681, 23680, 24605, 24901, 26048, 27343, 30007, 30303, 32893, 34965, 35964, 36001, 36556, 37259, 39331, 39368, 39627 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

MAPLE

N:= 200000: # for terms <= N

G:= expand(add(x^(i^3), i=1..floor(N^(1/3)))^2):

select(t -> coeff(G, x, t) > 0, [seq(i, i=37..N, 37)]); # Robert Israel, Jun 12 2020

MATHEMATICA

upto[n_] := Block[{t}, Union@ Reap[ Do[If[ Mod[t = x^3 + y^3, 37] == 0, Sow@ t], {x, n^(1/3)}, {y, Min[x, (n - x^3)^(1/3) ]}]][[2, 1]]]; upto[40000] (* Giovanni Resta, Jun 12 2020 *)

CROSSREFS

Cf. A003325.  Other sequences of the form "sum of two positive cubes and divisible by ...": A224484, A224485, A101421, A101852, A094447, A099178, A102619, A101806, A224483, A102658.

Sequence in context: A224562 A276413 A161020 * A225104 A234985 A264895

Adjacent sequences:  A102615 A102616 A102617 * A102619 A102620 A102621

KEYWORD

nonn

AUTHOR

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jan 31 2005

EXTENSIONS

Corrected by Robert Israel, Jun 12 2020

STATUS

approved

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Last modified December 6 19:09 EST 2021. Contains 349567 sequences. (Running on oeis4.)