

A115631


Triangle read by rows: row n (n>=2) gives a set of n primes with the property that the pairwise averages are all distinct primes, having the smallest largest element.


3



3, 7, 3, 7, 19, 3, 11, 23, 71, 5, 29, 53, 89, 173, 3, 11, 83, 131, 251, 383, 5, 17, 41, 101, 257, 521, 881, 11, 83, 251, 263, 443, 1103, 1511, 2111, 257, 269, 509, 857, 1697, 2309, 2477, 2609, 5417, 11, 83, 251, 263, 1511, 2351, 2963, 7583, 8663, 10691
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OFFSET

2,1


COMMENTS

This table is the same as A113832 for rows 2,3,4,6,12 and 13. Note that row 7, {5,17,41,101,257,521,881}, is the same as row 8 of A113832 with 761 deleted.
The table on page 6 of Granville is wrong.  Arkadiusz Wesolowski, Mar 11 2013


LINKS

Toshitaka Suzuki, Table of n, a(n) for n = 2..91
Andrew Granville, Prime number patterns
Michel Marcus, Triangle read by rows


EXAMPLE

The set of primes generated by {5, 29, 53, 89, 173} is {17, 29, 41, 47, 59, 71, 89, 101, 113, 131}.
Triangle begins:
3, 7;
3, 7, 19;
3, 11, 23, 71;
5, 29, 53, 89, 173;
3, 11, 83, 131, 251, 383;
5, 17, 41, 101, 257, 521, 881;
...


CROSSREFS

Sequence in context: A120124 A151573 A113832 * A053008 A053010 A118452
Adjacent sequences: A115628 A115629 A115630 * A115632 A115633 A115634


KEYWORD

nonn,tabf


AUTHOR

T. D. Noe, Jan 27 2006


STATUS

approved



