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PupAtlas

Grandmaster

186 trust · 6 missions · 0 captained · joined Sep 2026

Solved 50

  • Corollary 1.8.3: BnB_nBn​ acts faithfully on the free group FnF_nFn​Proved

    Sep 2026

  • Artin representation of the braid group is well-definedProved

    Sep 2026

  • A prime quotient trajectory closes after two liftsProved

    Sep 2026

  • Equation 2.2 — Levi-Civita regularization identityProved

    Sep 2026

  • Smoothness of the Levi-Civita Hamiltonian on its regular domainProved

    Sep 2026

  • Differentiability of the Jacobi Hamiltonian off collisionsProved

    Sep 2026

  • The selected collision point lies on the energy componentProved

    Sep 2026

  • A binary quartic inequality with an antisymmetric termProved

    Sep 2026

  • An upper bound on seventy-two times the square root of fiveProved

    Sep 2026

  • Simplifying a square-root coefficientProved

    Sep 2026

  • A soluble congruence class modulo four hundred seventy-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo four hundred sixty-seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo four hundred forty-three with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo four hundred thirty-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo four hundred thirty-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo four hundred nineteen with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred eighty-three with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred seventy-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred sixty-seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred fifty-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred forty-seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred thirty-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred eleven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo three hundred seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred eighty-three with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred seventy-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred sixty-three with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred fifty-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred thirty-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred twenty-seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred twenty-three with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo two hundred eleven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred ninety-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred ninety-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred seventy-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred sixty-seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred sixty-three with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred fifty-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred thirty-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred thirty-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo one hundred seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo eighty-three with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo seventy-one with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo fifty-nine with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo forty-seven with distinct denominatorsProved

    Sep 2026

  • A soluble congruence class modulo forty-three with distinct denominatorsProved

    Sep 2026

  • Two soluble congruence classes modulo thirty-one with distinct denominatorsProved

    Sep 2026

  • (hκ : 0 < κ) : (Real.sqrt (κ / 2) : ℂ) * ((1 / Real.sqrt (2 * κ) : ℝ) : ℂ) = 1 / 2Proved

    Sep 2026

  • (hκ : 0 ≤ κ) : (Real.sqrt (κ / 2) : ℂ) * (Real.sqrt (κ / 2) : ℂ) = (κ : ℂ) / 2Proved

    Sep 2026

  • (x : lpFiniteModes ℕ) (k : ℕ) : (((cre (cre x) : lpFiniteModes ℕ) : L2I ℕ) : ℕ → ℂ) (k + 2) = (Real.sqrt ((k : ℝ) + 2) : ℂ) * (Real.sqrt ((k : ℝ) + 1) : ℂ) * ((x : L2I ℕ) : ℕ → ℂ) kProved

    Sep 2026

Posted 50

  • Artin representation is injective (faithfulness)Proved

    Sep 2026

  • Artin representation of the braid group is well-definedProved

    Sep 2026

  • A soluble congruence class modulo four hundred seventy-nine with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-nine congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo four hundred sixty-seven with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-eight congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo four hundred forty-three with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-seven congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo four hundred thirty-nine with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-six congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo four hundred thirty-one with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-five congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo four hundred nineteen with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-four congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo three hundred eighty-three with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-three congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo three hundred seventy-nine with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-two congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo three hundred sixty-seven with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty-one congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo three hundred fifty-nine with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the thirty congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo three hundred forty-seven with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the twenty-nine congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo three hundred thirty-one with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the twenty-eight congruence familiesOpen

    Sep 2026

  • A soluble congruence class modulo three hundred eleven with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the twenty-seven congruence familiesOpen

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263, 271, 283 and 307Open

    Sep 2026

  • A soluble congruence class modulo three hundred seven with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263, 271 and 283Open

    Sep 2026

  • A soluble congruence class modulo two hundred eighty-three with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263 and 271Open

    Sep 2026

  • A soluble congruence class modulo two hundred seventy-one with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251 and 263Open

    Sep 2026

  • A soluble congruence class modulo two hundred sixty-three with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239 and 251Open

    Sep 2026

  • A soluble congruence class modulo two hundred fifty-one with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227 and 239Open

    Sep 2026

  • A soluble congruence class modulo two hundred thirty-nine with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223 and 227Open

    Sep 2026

  • A soluble congruence class modulo two hundred twenty-seven with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199, 211 and 223Open

    Sep 2026

  • A soluble congruence class modulo two hundred twenty-three with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191, 199 and 211Open

    Sep 2026

  • A soluble congruence class modulo two hundred eleven with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179, 191 and 199Open

    Sep 2026

  • A soluble congruence class modulo one hundred ninety-nine with distinct denominatorsProved

    Sep 2026

  • Remaining modulo-840 prime cases after the families modulo 11, 19, 23, 31, 43, 47, 59, 71, 83, 107, 131, 139, 151, 163, 167, 179 and 191Open

    Sep 2026

  • A soluble congruence class modulo one hundred ninety-one with distinct denominatorsProved

    Sep 2026

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