Entries 41 to 60

• 41. Erdos409.erdos_409.parts.i.isBigO (research open), in Erdős Problem 409
• 42. Arxiv.«2501.03234».conjecture_4_1 (research open), in An Arithmetic Sum Associated with the Classical Theta Function
• 43. MonochromaticQuantumGraph.eqSystem10_no_solution_d3 (research open), in Monochromatic quantum graphs (inherited vertex colorings)
• 44. PoincareConjecture.poincare_conjecture.variants.smooth_dimension_four (research open), in The Poincaré Conjecture
• 45. Transcendental.pi_pow_sqrt_two_transcendental (research open), in Open questions on transcendence of numbers
• 46. OeisA303656.conjecture (research open), in Sum of two squares, a power of 3, and a power of 5
• 47. Erdos517.erdos_517 (research open), in Erdős Problem 517
• 48. MonochromaticQuantumGraph.eqSystem16_no_solution_d3 (research open), in Monochromatic quantum graphs (inherited vertex colorings)
• 49. Arxiv.«0912.2382».curling_number_conjecture (research open), in The Curling Number Conjecture
• 50. Grimm.grimm_conjecture (research open), in Grimm's conjecture
• 51. Erdos272.erdos_272.variants.szabo_strong (research open), in Erdős Problem 272
• 52. UnionClosed.union_closed.variants.cardinality_even_of_union_closed_tight (research open), in Union-closed sets conjecture
• 53. MonochromaticQuantumGraph.eqSystem12_no_solution_d3 (research open), in Monochromatic quantum graphs (inherited vertex colorings)
• 54. Erdos1097.erdos_1097 (research solved), in Erdős Problem 1097
• 55. MonochromaticQuantumGraph.eqSystem_no_solution_ge6_ge3_real (research open), in Monochromatic quantum graphs (inherited vertex colorings)
• 56. Erdos952.erdos_952 (research solved), in Erdős Problem 952
• 57. Green58.green_58 (research open), in Ben Green's Open Problem 58
• 58. Erdos329.erdos_329.variants.converse_implication (research open), in Erdős Problem 329: Maximum Density of Sidon Sets
• 59. Mandelbrot.MLC (research open), in Conjectures about the Mandelbrot and Multibrot sets
• 60. Erdos890.erdos_890.parts.a (research open), in Erdős Problem 890

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