A340959 - OEIS

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A340959

Table read by antidiagonals of the smallest prime >= n^k, n >= 1 and k >= 0.

2, 2, 2, 2, 2, 2, 2, 3, 5, 2, 2, 5, 11, 11, 2, 2, 5, 17, 29, 17, 2, 2, 7, 29, 67, 83, 37, 2, 2, 7, 37, 127, 257, 251, 67, 2, 2, 11, 53, 223, 631, 1031, 733, 131, 2, 2, 11, 67, 347, 1297, 3137, 4099, 2203, 257, 2, 2, 11, 83, 521, 2411, 7789, 15629, 16411, 6563

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..64.

FORMULA

T(n,k) = next_prime(n^k-1).

EXAMPLE

Table begins:

2, 2, 2, 2, 2, 2, ...

2, 2, 5, 11, 17, 37, ...

2, 3, 11, 29, 83, 251, ...

2, 5, 17, 67, 257, 1031, ...

2, 5, 29, 127, 631, 3137, ...

...;

yielding the triangle:

2, 2;

2, 2, 2;

2, 3, 5, 2;

2, 5, 11, 11, 2;

2, 5, 17, 29, 17, 2;

...

MATHEMATICA

T[n_, k_]:=NextPrime[n^k-1]; Flatten[Table[T[n-k, k], {n, 11}, {k, 0, n-1}]] (* Stefano Spezia, Feb 01 2021 *)

PROG

(PARI) T(n, k) = nextprime(n^k); \\ Michel Marcus, Feb 01 2021

CROSSREFS

Cf. A104080 (n=2), A104081 (n=3), A104082 (n=4), A104083 (n=5), A104084 (n=7).

Sequence in context: A109703 A103375 A285758 * A246869 A338507 A358947

Adjacent sequences: A340956 A340957 A340958 * A340960 A340961 A340962

KEYWORD

nonn,tabl

AUTHOR

Donald S. McDonald, Jan 31 2021

STATUS

approved