Entries 41 to 60

• 41. Catalan.pillais_conjecture (research open), in Catalan's conjecture and related Diophantine equations
• 42. Hadamard.HadamardConjecture (research open), in Hadamard's conjecture
• 43. VaughtConjecture.vaught_conjecture (research open), in Vaught conjecture
• 44. AlgebraicNormality.irrational_algebraic_absolutely_normal (research open), in Normality of Irrational Algebraic Numbers
• 45. LehmerMahlerMeasureProblem.lehmer_mahler_measure_problem (research open), in Lehmer's Mahler measure problem
• 46. RiemannZetaValues.irrational_odd (research open), in Particular values of the Riemann zeta function
• 47. BeckFiala.beck_fiala_conjecture (research open), in Beck–Fiala theorem and conjecture
• 48. RamanujanTau.lehmer_ramanujan_tau (research open), in Ramanujan τ-function
• 49. UnionClosed.union_closed (research open), in Union-closed sets conjecture
• 50. Erdos28.erdos_28 (research open), in Erdős Problem 28
• 51. GaussCircleProblem.error_isBigO (research open), in Gauss circle problem
• 52. PrimesAndPerfectSquares.infinite_prime_sq_add_one (research open), in Primes and perfect squares
• 53. BabaiSeressConjectures.babai_seress_conjecture (research open), in Babai–Seress Conjectures on the Diameter of Finite Groups
• 54. TarskiExponentialFunctionProblem.tarski_exponential_function_problem (research open), in Tarski's exponential function problem
• 55. Margulis.conjecture_1_1 (research open), in A conjecture by Margulis on matrix groups
• 56. Exponentials.four_exponentials_conjecture (research open), in Exponentials conjectures and theorems
• 57. HopfAlgebraCohomology.cohomologyRing_finiteType (research open), in Finite generation of the cohomology of finite-dimensional Hopf algebras
• 58. Erdos723.erdos_723 (research open), in Erdős Problem 723: The prime power conjecture.
• 59. AndrewsCurtis.andrews_curtis_conjecture (research open), in The Andrews-Curtis conjecture
• 60. GapConjecture.gap_conjecture (research open), in Gap conjecture

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