A118132 Triangle read by rows n>=0: the largest prime <= m^n+2 in columns m=3..n+3.

3, 5, 5, 11, 17, 23, 29, 61, 127, 211, 83, 257, 619, 1297, 2399, 241, 1021, 3121, 7759, 16787, 32749, 727, 4093, 15619, 46649, 117643, 262139, 531383, 2179, 16381, 78121, 279919, 823541, 2097143, 4782971, 9999991, 6563, 65537, 390581, 1679609

Offset

0,1

Links

Table of n, a(n) for n=0..39.

Formula

a(n,m) = A007917(m^n+2) .

Example

The triangle starts in row n=0 as:
3;
5, 5 ;
11, 17, 23 ;
29, 61, 127, 211 ;
83, 257, 619, 1297, 2399 ;
241, 1021, 3121, 7759, 16787, 32749 ;
727, 4093, 15619, 46649, 117643, 262139, 531383 ;
2179, 16381, 78121, 279919, 823541, 2097143, 4782971, 9999991 ;

Mathematica

f[n_, m_] := If[PrimeQ[n^m + 2], n^m + 2, Prime[PrimePi[n^m + 2]]] a = Table[Table[f[n, m], {n, 3, m + 3}], {m, 0, 9}] c = Flatten[a]

Crossrefs

Sequence in context: A317650 A240731 A266505 * A089167 A188345 A349204

Adjacent sequences: A118129 A118130 A118131 * A118133 A118134 A118135

Keyword

nonn,tabl

Author

Roger L. Bagula, May 13 2006

Extensions

Definition simplified, formula simplified by Assoc. Eds. of the OEIS, Jun 15 2010

Status

approved