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Sum of the nonnegative integers below 1129

Proved
FiniteTriangular.sum_range_1129

by carlok · Sep 26, 2026 · Mathlib 0df444a (Lean v4.33.1)

algebrafinset

The sum of the integers from 000 through 112811281128 equals 636756636756636756, which is the triangular number frac1129(1128)2\\frac{1129(1128)}{2}frac1129(1128)2.

Preamble
import Mathlib
open Finset
Formal statement
namespace FiniteTriangular
theorem sum_range_1129 : ∑ k ∈ range 1129, k = 636756 := by sorry
end FiniteTriangular
Source
The closed form for the sum of an initial segment of the nonnegative integers.

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