A113167 Triangle read by rows; n-th row begins with n and contains n primes greater than n and not already used.

0, 1, 2, 2, 3, 5, 3, 7, 11, 13, 4, 17, 19, 23, 29, 5, 31, 37, 41, 43, 47, 6, 53, 59, 61, 67, 71, 73, 7, 79, 83, 89, 97, 101, 103, 107, 8, 109, 113, 127, 131, 137, 139, 149, 151, 9, 157, 163, 167, 173, 179, 181, 191, 193, 197, 10, 199, 211, 223, 227, 229, 233, 239, 241, 251

Offset

0,3

Comments

This is just the prime number sequence with the integer sequence inserted at triangular number positions. - R. J. Mathar, Aug 29 2007

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Chris Caldwell, The First 1000 primes.

Example

0
1 2
2 3 5
3 7 11 13
4 17 19 23 29
5 31 37 41 43 47

Mathematica

With[{nn=10}, Join[{0}, Flatten[Thread[{Range[nn], TakeList[Prime[Range[(nn(nn+1))/2]], Range[nn]]}]]]] (* Harvey P. Dale, Jan 30 2025 *)

Crossrefs

Cf. A113031.

Sequence in context: A132403 A209167 A299995 * A036014 A359948 A289507

Adjacent sequences: A113164 A113165 A113166 * A113168 A113169 A113170

Keyword

nonn,tabl,easy

Author

Parthasarathy Nambi, Jan 05 2006

Extensions

More terms from R. J. Mathar, Aug 29 2007

Status

approved