Odd Spoof Multiperfect Numbers
Abstract
We generalize the definition of spoof perfect numbers to multiperfect numbers and study their characteristics. As a result, we find several new odd spoof multiperfect numbers, akin to Descartes' number. An example is 8999757, which would be an odd multiperfect number, if one of its prime factors, 61, was a square. We briefly describe an algorithm for searching for such numbers and discuss a few of their properties.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.