Amicable numbers to Some conjectures about ranks of…

• Amicable numbers
• Andrica's conjecture
• Artin's conjecture on primitive roots
• Balanced prime conjecture
• Bateman-Horn Conjecture
• Beal conjecture
• Betrothed numbers
• Brocard's Conjecture
• Büchi's problem
• Bunyakovsky conjecture
• Carmichael's totient function conjecture
• Catalan's conjecture and related Diophantine equations
• Class number problem for real quadratic fields
• Collatz conjecture
• Congruent Number
• Dickson's conjecture
• Diophantine \(m\)-tuples
• Dirichlet divisor problem
• Elliott–Halberstam conjecture
• Some conjectures about ranks of elliptic curves over ℚ

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