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 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 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A113827-A113831, A113832, A113834, A088430. Sequence in context: A229521 A263337 A160994 * A212286 A157102 A226512 Adjacent sequences: A113830 A113831 A113832 * A113834 A113835 A113836 KEYWORD nonn,tabf,more AUTHOR N. J. A. Sloane, Jan 25 2006 EXTENSIONS Row 5 from T. D. Noe, Aug 08 2006 STATUS approved

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Last modified March 21 06:10 EDT 2023. Contains 361392 sequences. (Running on oeis4.)