A092557 Triangle read by rows: T(1,1) = 1; for n>=2, write the first n^2 integers in an n X n array beginning with 1 in the upper left proceeding left to right and top to bottom; then T(n,k) is the last prime in the k-th row.

1, 2, 3, 3, 5, 7, 3, 7, 11, 13, 5, 7, 13, 19, 23, 5, 11, 17, 23, 29, 31, 7, 13, 19, 23, 31, 41, 47, 7, 13, 23, 31, 37, 47, 53, 61, 7, 17, 23, 31, 43, 53, 61, 71, 79, 7, 19, 29, 37, 47, 59, 67, 79, 89, 97, 11, 19, 31, 43, 53, 61, 73, 83, 97, 109, 113, 11, 23, 31, 47, 59, 71, 83, 89

Offset: 1

Author

Robert G. Wilson v, Feb 27 2004

Keywords

• nonn
• tabl

Comments

There is a prime in each row.

Examples

			Triangle begins
1;
2, 3;
3, 5, 7;
3, 7, 11, 13;
5, 7, 13, 19, 23;
		

References

• Paulo Ribenboim, "The Little Book Of Big Primes," Springer-Verlag, NY 1991, page 185.

Crossrefs

Cf. A092556, A083415.

Programs

Mathematica

PrevPrim[n_] := Block[{k = n - 1}, While[ !PrimeQ[k], k-- ]; k]; Table[ PrevPrim[i*n + 1], {n, 2, 12}, {i, 1, n}]