Number Theory

    

Proof for Why 12 = 3 · 4 and 56 = 7 · 8 Are the Only Products in the Decimal System Where a Sequence is Formed by the Digits Under the Mod 10 System

Authors: Suryansh Singh Shekhawat

In the decimal number system we can find some interesting products, such as 12 = 3 · 4. What is interesting about these products is that if you remove the symbols, the digits form a sequence 1, 2, 3, 4. Another example is 56 = 7 · 8, where the sequence is 5, 6, 7, 8. The objective of this paper is to prove that, within the constraints of the decimal number system, these are the only two cases in which this happens. In this paper we also consider a general case which considers subsequences of mod 10, i.e., 0123456789012345..

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2025-02-11 23:11:27

Unique-IP document downloads: 127 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus