A134610 Composite numbers such that the cube root of the sum of cubes of their prime factors is a prime.

14157, 141960, 466560, 1608575, 3097055, 5338710, 6235076, 16017300, 22353408, 24948000, 25073792, 25564544, 27843750, 29761408, 30570408, 31894350, 40837825, 44175248, 46120064, 49867818, 55814400, 56141963, 71214803, 77450890, 92682405

Offset

1,1

Comments

Numbers included in A134608, but not in A134609. a(1)=14157 is the minimal number with this property.

The prime factors are taken by multiplicity.

Links

Hieronymus Fischer, Table of n, a(n) for n = 1..50

Example

a(2)=141960 since 141960=2*2*2*3*5*7*13*13 and (3*2^3+3^3+5^3+7^3+2*13^3)^(1/3)=4913^(1/3)=17.

Crossrefs

Cf. A001597, A025475, A134333, A134344, A134376.

Cf. A134600, A134602, A134605, A134613, A134616, A134618, A134620.

Sequence in context: A207289 A249192 A204282 * A104825 A184574 A184566

Adjacent sequences: A134607 A134608 A134609 * A134611 A134612 A134613

Keyword

nonn

Author

Hieronymus Fischer, Nov 11 2007

Extensions

Minor edits and additional terms by the author, Apr 15 2013

Status

approved