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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)