数学上の未解決問題
準完全数は存在するか。
Do any odd weird numbers exist?
リクレル数は存在するか。
Is 10 a solitary number?
Catalan–Dickson conjecture on aliquot sequences
Do any Taxicab(5, 2, n) exist for n>1?
ブロカールの問題(Brocard's problem: existence of integers, (n,m), such that n!+1 = m other than n=4, 5, 7)
Beilinson conjecture
Littlewood conjecture
スピロ予想(en:Szpiro's conjecture)
ヴォイタ予想(en:Vojta's conjecture)
ゴールマハティヒ予想(en:Goormaghtigh conjecture)
Congruent number problem (a corollary to Birch and Swinnerton-Dyer conjecture, per Tunnell's theorem)