A093355 Beginning with 2, primes such that the n-th partial sum is an n-th power.

2, 2, 23, 229, 229344751, 252545297, 9094638268087, 1668626479841609, 4673740355384057, 138203643993672967, 564009841283188392949, 2662112366008762371083, 2372500135043479785725819

Offset

1,1

Comments

Requiring a(n+1) > a(n) leads to the finite sequence A073860. Not allowing repetition leads to A073698. - M. F. Hasler, Apr 07 2009

Links

Table of n, a(n) for n=1..13.

Example

2+2 = 4 = 2^2, 2+2+23 = 27 = 3^3.

Prog

(PARI) s=0; for( n=1, 999, t=floor(sqrtn(s, n)); until( isprime( t++^n-s), ); print1( t^n-s, ", "); s=t^n) \\ M. F. Hasler, Apr 07 2009

Crossrefs

Cf. A093927.

Cf. A073698, A073860. - M. F. Hasler, Apr 07 2009

Sequence in context: A001012 A040082 A014358 * A122962 A048648 A229334

Adjacent sequences: A093352 A093353 A093354 * A093356 A093357 A093358

Keyword

nonn

Author

Amarnath Murthy, Apr 25 2004

Extensions

More terms from Ray G. Opao, Nov 29 2004

Status

approved