# Congruence properties of indices of triangular numbers multiple of other triangular numbers

@article{Pletser2021CongruencePO, title={Congruence properties of indices of triangular numbers multiple of other triangular numbers}, author={Vladimir Pletser}, journal={Open Journal of Mathematical Sciences}, year={2021} }

For any non-square integer multiplier \(k\), there is an infinity of triangular numbers multiple of other triangular numbers. We analyze the congruence properties of indices \(\xi\) of triangular numbers multiple of triangular numbers. Remainders in congruence relations \(\xi\) modulo \(k\) come always in pairs whose sum always equal \((k-1)\), always include 0 and \((k-1)\), and only 0 and \((k-1)\) if \(k\) is prime, or an odd power of a prime, or an even square plus one or an odd square…

## One Citation

### Investigation of General Power Sum-Connectivity Index for Some Classes of Extremal Graphs

- MathematicsComplex.
- 2021

<jats:p>In this work, we introduce a new topological index called a general power sum-connectivity index and we discuss this graph invariant for some classes of extremal graphs. This index is defined…

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