A224863 Prime(n) such that prime(3n) - prime(2n) - prime(n) is a perfect cube.

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

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: A010789 A333349 A349071 * A379870 A263075 A217766

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