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A224863 Prime(n) such that prime(3n) - prime(2n) - prime(n) is a perfect cube. 1
2, 31, 911, 929, 941, 997, 1013, 4273, 4289, 8171, 13171, 20233, 20261, 57139, 123637, 229631, 278609, 278689, 328277, 526213, 611213, 703267, 906229, 1287479, 1287623, 1290031, 1442549, 1442723, 1443257, 1443311, 1443383, 1948343, 1948669, 2361899, 3331093 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The prime indices n are 1, 11, 156, 158, 160, 168, 170, 587, 589, 1026,... and the cubes are 0, 27, 343 (repeated 5 times), 1331 (repeated 2 times), 2197, 3375, 4913 (repeated 2 times),... - R. J. Mathar, Jul 27 2013

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..1000

EXAMPLE

31 is in the sequence because 31 = prime(11) and prime(3*11) - prime(2*11) - prime(11) = 137 - 79 - 31 = 27 = 3^3.

CROSSREFS

Sequence in context: A245051 A024235 A010789 * A263075 A217766 A246970

Adjacent sequences:  A224860 A224861 A224862 * A224864 A224865 A224866

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov, Jul 22 2013

EXTENSIONS

a(3) - a(38) from  Jack Brennen, Jul 18 2013

STATUS

approved

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Last modified May 26 22:57 EDT 2019. Contains 323597 sequences. (Running on oeis4.)