ekvinumerini

Ekvinumerini is a term used primarily in online puzzle circles and some speculative fiction to denote a class of integers associated with a balancing property of numeral representations. It is not a term from standard mathematics, and there is no single formal definition accepted by mainstream sources. The etymology is informal and disputed; the word appears to be a neologism combining elements that readers have interpreted as relating to equality and numbers, but there is no universally agreed origin.

In its most common informal usage, a number is described as ekvinumerini with respect to a chosen set of numeral bases B if the sum of the digits of the number expressed in base b is the same for all bases in B. The choice of B strongly influences which numbers qualify, making the concept highly contextual rather than objective. Because the definition is informal, there is no established list of properties or theorems, and discussions typically treat ekvinumerini as a puzzle constraint or a world-building device rather than a formal mathematical category.

Examples of ekvinumerini are usually provided within puzzle forums or fictional texts, where authors use the idea to illustrate cross-system symmetry or balance. However, outside these contexts, the term lacks standardized meaning, and what counts as ekvinumerini can vary between authors or communities.

See also: digit sum, base representation, recreational mathematics, cross-base puzzles.