A086786 Triangle read by rows: n-th row is the smallest set of n numbers in arithmetic progression with the same prime signature.

1, 2, 3, 3, 5, 7, 5, 11, 17, 23, 5, 11, 17, 23, 29, 7, 37, 67, 97, 127, 157, 481, 485, 489, 493, 497, 501, 505, 635, 707, 779, 851, 923, 995, 1067, 1139, 635, 707, 779, 851, 923, 995, 1067, 1139, 1211, 199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089, 3841

Offset: 1

Author

Amarnath Murthy, Sep 02 2003

Keywords

• nonn
• tabl

Comments

In this sequence "smallest" means that the last term of the arithmetic progression is minimized. A113460 minimizes the first term.

Examples

			Triangle begins:
1
2,3
3,5,7
5,11,17,23
5,11,17,23,29
7,37,67,97,127,157
481,485,489,493,497,501,505
635,707,779,851,923,995,1067,1139
635,707,779,851,923,995,1067,1139,1211
199,409,619,829,1039,1249,1459,1669,1879,2089
...
		

Links

• Index entries for sequences related to primes in arithmetic progressions

Crossrefs

A087310 contains the corresponding common differences, A087308 the initial terms, A087309 the final terms.

Cf. A087308, A087309, A087310, A114660, A114663, A114670.

Row 10 is the same for A113470, A133276, A133277 and listed as A033168.

Extensions

Edited and extended by David Wasserman, Jan 08 2006

Further edits by N. J. A. Sloane, Oct 17 2007