A093927 n-th root of the n-th partial sum of A093355.

2, 2, 3, 4, 47, 28, 71, 80, 57, 52, 77, 62, 75, 154, 243, 236, 183, 448, 341, 380, 603, 508, 411, 1060, 837, 686, 765, 658, 569, 506, 479, 588, 1315, 2826, 3709, 2964, 2585, 2536, 2139, 1876, 1643, 1656, 1405, 1824, 1739, 1624, 1557, 1462, 1775, 1936, 1809, 1762

Offset

1,1

Links

Table of n, a(n) for n=1..52.

Formula

a(n) = (Sum_{k=1..n} A093355(k))^(1/n) = min { k in N | k^n - a(n-1)^(n-1) is prime }. - M. F. Hasler, Apr 07 2009

Prog

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

Crossrefs

Cf. A093355.

Cf. A093928.

Sequence in context: A361246 A375791 A270744 * A067088 A065519 A329792

Adjacent sequences: A093924 A093925 A093926 * A093928 A093929 A093930

Keyword

nonn

Author

Amarnath Murthy, Apr 25 2004

Extensions

More terms from Ray G. Opao, Nov 29 2004

More terms from David Wasserman, Mar 06 2007

Status

approved