Published March 15, 2026 | Version v1
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THE PERFECT R-NARCISSISTIC NUMBERS

Authors/Creators

  • 1. Universite de Toulouse

Description

A brief definition of perfect r-narcissistic numbers (or rppdi), a natural extension of the classic Armstrong numbers (or perfect narcissistic numbers or ppdi), a demonstration of their finiteness and the list of 15 rppdi greater than 1 currently calculated.

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Additional details

Dates

Available
2026-03-15

References

  • [1] Armstrong numbers, <a href="https://oeis.org/A005188">OEIS A005188 </a>.<br/> [2] R.L.Clerc, Les transformations agréables et une nouvelle classe de nombres narcissiques parfaits, p.1-17, 2022 (<a href="https://zenodo.org/records/19004709">zenodo.org/records/19004709</a>, 2026).<br/>