[ { "id": 1, "name": "millennium_prize", "display_name": "Millennium Prize Problems", "description": "Seven problems selected by the Clay Mathematics Institute in 2000, each with a $1,000,000 prize for solution.", "slug": "millennium-prize", "order_index": 1, "created_at": "2024-01-01T00:00:00Z" }, { "id": 2, "name": "hilbert_problems", "display_name": "Hilbert's 23 Problems", "description": "David Hilbert's list of 23 unsolved problems presented at the International Congress of Mathematicians in Paris in 1900.", "slug": "hilbert-problems", "order_index": 2, "created_at": "2024-01-01T00:00:00Z" }, { "id": 3, "name": "green_problems", "display_name": "Ben Green's 100 Open Problems", "description": "A collection of 100 open problems in additive combinatorics and related areas, compiled by Ben Green.", "slug": "green-problems", "order_index": 3, "created_at": "2024-01-01T00:00:00Z" }, { "id": 4, "name": "darpa_challenges", "display_name": "DARPA's 23 Mathematical Challenges", "description": "Mathematical challenges identified by DARPA to drive fundamental research in mathematics.", "slug": "darpa-challenges", "order_index": 4, "created_at": "2024-01-01T00:00:00Z" }, { "id": 5, "name": "smale_problems", "display_name": "Smale's Problems", "description": "Steve Smale's list of mathematical problems for the 21st century.", "slug": "smale-problems", "order_index": 5, "created_at": "2024-01-01T00:00:00Z" }, { "id": 6, "name": "landau_problems", "display_name": "Landau's Problems", "description": "Four basic problems about prime numbers posed by Edmund Landau at the 1912 International Congress of Mathematicians.", "slug": "landau-problems", "order_index": 6, "created_at": "2024-01-01T00:00:00Z" }, { "id": 7, "name": "hardy_littlewood_conjectures", "display_name": "Hardy-Littlewood Conjectures", "description": "A collection of fundamental conjectures on prime numbers, Goldbach-type problems, and Waring's problem from the \"Partitio Numerorum\" papers (1919-1923) by G.H. Hardy and J.E. Littlewood.", "slug": "hardy-littlewood-conjectures", "order_index": 7, "created_at": "2024-01-01T00:00:00Z" }, { "id": 8, "name": "erdos_problems", "display_name": "Erdős Problems", "description": "A collection of open problems posed by Paul Erdős, one of the most prolific mathematicians of the 20th century. These problems span combinatorics, number theory, graph theory, and analysis.", "slug": "erdos-problems", "order_index": 8, "created_at": "2024-01-01T00:00:00Z" }, { "id": 9, "name": "guy_prime_numbers", "display_name": "Richard Guy - A: Prime Numbers", "description": "Problems from Chapter A (Prime Numbers) of Richard Guy's \"Unsolved Problems in Number Theory\", a comprehensive collection of open questions in prime number theory.", "slug": "guy-prime-numbers", "order_index": 9, "created_at": "2024-01-01T00:00:00Z" } ]