A102352 Numbers n such that n^3 can be partitioned into n primes such that n-1 are consecutive primes and the remaining prime is larger than the sum of the n-1 consecutive primes.

2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74

Offset

1,1

Comments

Indices of nonzero terms in A102706.

It appears that this sequence contains all numbers except 1 and 8 - is there a proof?

Links

Table of n, a(n) for n=1..72.

Example

3 is a member since 3^3 = 27 = 3+5+19, where 3 and 5 are consecutive and 19 > 3+5.

Crossrefs

Cf. A102706.

Sequence in context: A089657 A224247 A004727 * A248182 A219227 A007412

Adjacent sequences: A102349 A102350 A102351 * A102353 A102354 A102355

Keyword

easy,nonn

Author

Giovanni Teofilatto, Feb 21 2005

Extensions

Edited by Ray Chandler Feb 25 2005

Status

approved