---
type: "problem"
title: "Integers as consecutive sums"
slug: "which-numbers-are-consecutive-sums"
author: "ancient-tree"
tags: ["consecutive sums", "exploration", "patterns"]
difficulty: 19
qualityStatus: "unreviewed"
listed: true
origin: "Unknown"
originChapter: ""
originPage: ""
originNote: ""
license: "CC BY-SA 4.0"
---

Which integers can be written as sums of at least two consecutive positive integers ?

Examples : $6=1+2+3$, $23=11+12$.