login
A113833
Triangle read by rows: row n (n>=2) gives a set of n primes such that the averages of all subsets are distinct primes, having the smallest largest element.
3
3, 7, 7, 19, 67, 5, 17, 89, 1277, 209173, 322573, 536773, 1217893, 2484733
OFFSET
2,1
COMMENTS
If there is more than one set with the same smallest last element, choose the lexicographically earliest solution.
Note that, in each row, the n primes are equal modulo 4, 12, 12 and 120, respectively. - Row 5 from T. D. Noe, Aug 08 2006
REFERENCES
Antal Balog, The prime k-tuplets conjecture on average, in "Analytic Number Theory" (eds. B. C. Berndt et al.) Birkhäuser, Boston, 1990, pp. 165-204. [Background]
LINKS
Jens Kruse Andersen, Primes in Arithmetic Progression Records [May have candidates for later terms in this sequence.]
Andrew Granville, Prime number patterns
EXAMPLE
Triangle begins:
3, 7
7, 19, 67
5, 17, 89, 1277
CROSSREFS
KEYWORD
nonn,tabf,more
AUTHOR
N. J. A. Sloane, Jan 25 2006
EXTENSIONS
Row 5 from T. D. Noe, Aug 08 2006
STATUS
approved