This project presents a new algorithm for identifying perfect numbers by leveraging beautiful triangular numbers. By discovering and implementing a unique pattern in the geometric structure of ...

for i in xrange(2, math.floor(math.sqrt(K) + 1)): if (K % i == 0): if (i**2 == K): # don't count sqrt twice.

Abstract: Fuzzy number type data is a typical class of fuzzy data, and it can be regarded as a general form of the interval data and the crisp data. This paper studies fuzzy clustering algorithm for ...

Figuring out Figurate Numbers The figure below shows the visual pattern for the first few triangular, square, pentagonal, and hexagonal numbers. These numbers are called figurate numbers. The number ...

Ten is a triangular number, because 10 objects can be neatly arranged in an equilateral triangle. In general, a triangular number is a number that can be represented as a triangle with one object in ...

1 School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China. 2 ...

Ross HE & Knott BI (2019) Dicuil (9th century) on triangular and square numbers. British Journal for the History of Mathematics, 34 (2), pp. 79-94. https://doi.org/10 ...