A050275 Largest value c for Diophantine 1-triples (a,b,c) ordered by smallest c,b.

8, 12, 15, 16, 20, 21, 24, 24, 24, 28, 30, 32, 33, 35, 36, 39, 40, 40, 40, 42, 44, 45, 48, 48, 48, 51, 52, 55, 56, 56, 56, 57, 60, 60, 60, 63, 64, 65, 66, 68, 69, 70, 72, 72, 72, 75, 76, 77, 78, 80, 80, 80, 84, 84, 84, 85, 87, 88, 88, 88, 90, 91, 92, 93, 95, 96, 96, 96, 99

Offset

1,1

Links

Table of n, a(n) for n=1..69.

Trajan Hammonds, Seoyoung Kim, Steven J. Miller, Arjun Nigam, Kyle Onghai, Dishant Saikia, and Lalit M. Sharma, k-Diophantine m-tuples in Finite Fields, arXiv:2201.06232 [math.NT], 2022.

Eric Weisstein's World of Mathematics, Diophantus Property.

Prog

(PARI) list(lim)=my(v=List()); for(b=8, lim, for(a=2, b-1, if(!issquare(a*b+1), next); for(c=1, a-1, if(issquare(a*c+1) && issquare(b*c+1), listput(v, b); next(2))))); Vec(v) \\ Charles R Greathouse IV, Feb 09 2025

Crossrefs

Cf. A050273, A050274.

Sequence in context: A032455 A342809 A279963 * A363863 A033949 A175594

Adjacent sequences: A050272 A050273 A050274 * A050276 A050277 A050278

Keyword

nonn

Author

Eric W. Weisstein

Status

approved