Links on Diophantine m-tuples

• 1, 3, 8, 120, ... A Diophantine Problem (Phil Gibbs)
• Some Rational Diophantine Sextuples (Phil Gibbs)
• A Generalised Stern-Brocot Tree from Regular Diophantine Quadruples (Phil Gibbs)
• Diophantine Quadruples and Cayley's Hyperdeterminant (Phil Gibbs)
• Extending Ten Squares (Jon Perry)
• Diophantus Property (Eric Weisstein)
• Diophantine quintuple (Wikipedia) (Russian) (Croatian) (Romanian) (French)
• One hundred twenty (Wikipedia)
• Numbers Expressible As (a^2 - 1)(b^2 - 1) (Kevin Brown)
• If ab+1, ac+1, bc+1 are squares, ... (Kevin Brown)
• Clouds, Shy Squares, and Diophantus (Kevin Brown)
• Four Squares From Three Numbers (Kevin Brown)
• Geodesic Diophantine Boxes (Kevin Brown)
• Triangles and Diophantine n-tuples (Kevin Brown)
• Diophantine n-tuples and Their Duals (Kevin Brown)
• Diophantine Quadruples (H. Nakao)
• Sequences A001078, A006454, A030063, A045899, A050269, A050270, A050273, A050274, A050275, A051047, A051048, A098602, A192629, A192630, A192631, A192632, A245031, A274694, A274696 (Encyclopedia of Integer Sequences)
• all x*y are z^2-1 (Dave Rusin)
• all x*y are a^2-1 (Dave Rusin)
• high rank (Dave Rusin)
• Diofanto di Alessandria (Storia delle matematiche elementari)
• Diophantus of Alexandria (Michael Lahanas)
• Supertezky problem
• Diophantine quintuple conjecture (Open Problem Garden)
• A Collection of Algebraic Identities (Tito Piezas III)
• Quadruples (a,b,c,d); product of any two plus 1 is a square (Fun With Num3ers)
• (a,b,c); ab+1,ac+1,bc+1,abc+1 are all squares (Fun With Num3ers)
• Quadrati (Mauro Fiorentini)
• Diophantine quadruple conjecture (integers blog)
• Trojki Diofantyczne
• Ideas y vizualizaciones matematicas. La arithmetica de Diofanto (Merche Sanchez)
• A Holiday Brain Teaser (Solving Sunday Times Teasers)
• Ciag Fibonacciego - dwie ciekawostki, o ktorych prawdopodobnie nie wiedziales (Tomasz Kosnowicz, YouTube)
• Diophantine array (Dongcheng Jushi)
• Diophantine quintuples that have eluded mathematicians for nearly 2000 years (Math isn't for everyone)
• Diofantovy pyaterki (Matematicheskiy forum Math Help Planet)
• Les quadruplets diophantiens (Diophante.fr)
• Special arithmetic progressions involving perfect squares (MathOverflow)
• a family of Pellian equations (MathOverflow)
• Conjectures on perfect squares (MathOverflow)
• Generalizing a pattern for the Diophantine m-tuples problem? (MathOverflow)
• Extending rational Diophantine triples to sextuples (MathOverflow)
• A set, product of any two elements minus one is a perfect square (MathOverflow)
• A generalization of the Diophantine m-tuple problem (MathOverflow)
• Diophantine Quintuple? (Mathematics Stack Exchange)
• A question on elementary number theory (Mathematics Stack Exchange)
• Multiples that are one less than Squares (Mathematics Stack Exchange)
• Find integers (w,x,y,z) such that the product of each two of them minus 1 is square (Mathematics Stack Exchange)
• Quadruples of integers (a,b,c,d) such that for any two distinct elements, n,m, nm+1 is a square (Mathematics Stack Exchange)
• how to parameterize diophant triples on the elliptic curve? (Mathematics Stack Exchange)
• Diophantine D(12)-quadruple (Mathematics Stack Exchange)
• How do you solve this problem of square numbers? (Mathematics Stack Exchange)
• An Almost-squarish set of numbers (Puzzling Stack Exchange)
• Conference on Diophantine m-tuples and Related Problems, Westville, USA, 13.-15.11.2014.
• Conference on Diophantine m-tuples and Related Problems II, Westville, 15.-17.10.2018.
• Conference on Diophantine m-tuples and Related Problems III, Zagreb, 23.-25.9.2020.

1. Introduction
2. Diophantine quintuple conjecture
3. Sets with the property D(n)
4. Connections with Fibonacci numbers
5. Rational Diophantine m-tuples
6. Connections with elliptic curves
7. Various generalizations
8. References