A090414 Triangular array read by rows, 1<=k<=n: T(n,k) = smallest prime that in binary representation is not contained in n^k.

2, 3, 3, 2, 3, 7, 3, 3, 3, 3, 3, 5, 11, 5, 7, 5, 3, 7, 3, 5, 7, 2, 5, 13, 7, 11, 13, 17, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 11, 19, 19, 17, 13, 3, 5, 11, 5, 7, 11, 7, 17, 17, 13, 7, 5, 7, 5, 23, 7, 13, 7, 7, 17, 17, 5, 3, 7, 3, 5, 7, 7, 7, 5, 11, 17, 19

Offset

1,1

Links

Jinyuan Wang, Rows n = 1..100 of triangle, flattened

Example

Triangle begins:
2;
3, 3;
2, 3,  7;
3, 3,  3, 3;
3, 5, 11, 5,  7;
5, 3,  7, 3,  5,  7;
2, 5, 13, 7, 11, 13, 17;
..

Prog

(PARI) T(n, k) = {my(d=binary(n^k), v); forprime(p=2, oo, v=binary(p); if(#v>#d || sum(i=1, #d-#v+1, v==vector(#v, j, d[i+j-1]))==0, return(p))); } \\ Jinyuan Wang, Mar 01 2020

Crossrefs

Cf. A004676, A007088, A075363.

Sequence in context: A141744 A089783 A302939 * A068227 A235343 A236456

Adjacent sequences: A090411 A090412 A090413 * A090415 A090416 A090417

Keyword

nonn,base,tabl

Author

Reinhard Zumkeller, Nov 30 2003

Extensions

More terms from Jinyuan Wang, Mar 01 2020

Status

approved