Which triangular numbers are products of three consecutive integers? (Q1187288)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Which triangular numbers are products of three consecutive integers? |
scientific article; zbMATH DE number 39062
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Which triangular numbers are products of three consecutive integers? |
scientific article; zbMATH DE number 39062 |
Statements
Which triangular numbers are products of three consecutive integers? (English)
0 references
28 June 1992
0 references
Verf. zeigt, daß die positiven Lösungen von \(x(x+1)=2y(y+1)(y+2)\) durch \(x=3, 15, 20, 44, 608, 22736\) mit dazugehörigen \(y=1, 4, 5, 9, 56, 636\) gegeben werden. Die verwandten Gleichungen \(x(x+1)=y(y+1)(y+2)\) und \(3x(x+1)=y(y+1)(y+2)\) wurden von \textit{L. J. Mordell} [Pac. J. Math. 13, 1347--1351 (1963; Zbl 0124.27402)] resp. \textit{È. T. Avanesov} [Acta Arith. 12, 409--420 (1967; Zbl 0153.06403)] vollständig diskutiert.
0 references
cubic diophantine equation
0 references
triangular numbers
0 references
products of three consecutive integers
0 references
0.82115966
0 references
0.7809826
0 references
0.7646695
0 references
0.7635025
0 references
0 references
