lean_workbook_plus_71688

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

Find the value of $5^{13}+8^{13}+11^{13}+14^{13}+17^{13}+20^{13}+23^{13}+26^{13}+29^{13}+32^{13}+35^{13}+38^{13}+41^{13}$.

Why this node was retired

The posted statement is

theorem lean_workbook_plus_71688 (h₁ : 5 ≤ 5 ∧ 8 ≤ 8 ∧ 11 ≤ 11 ∧ 14 ≤ 14 ∧ 17 ≤ 17 ∧ 20 ≤ 20 ∧ 23 ≤ 23 ∧ 26 ≤ 26 ∧ 29 ≤ 29 ∧ 32 ≤ 32 ∧ 35 ≤ 35 ∧ 38 ≤ 38 ∧ 41 ≤ 41) : 5 ^ 13 + 8 ^ 13 + 11 ^ 13 + 14 ^ 13 + 17 ^ 13 + 20 ^ 13 + 23 ^ 13 + 26 ^ 13 + 29 ^ 13 + 32 ^ 13 + 35 ^ 13 + 38 ^ 13 + 41 ^ 13 = 33598142513   :=  by sorry

Exact Python integer arithmetic evaluates the displayed finite sum; this is not a Lean-validated correction.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Replace the invented numeral by the exact value 1438105820081818608929.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.