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A pronic number is a number that is the product of two consecutive integers, that is, a number of the form (+). [1] The study of these numbers dates back to Aristotle.They are also called oblong numbers, heteromecic numbers, [2] or rectangular numbers; [3] however, the term "rectangular number" has also been applied to the composite numbers.
A number n that has more divisors than any x < n is a highly composite number (though the first two such numbers are 1 and 2). Composite numbers have also been called "rectangular numbers", but that name can also refer to the pronic numbers, numbers that are the product of two consecutive integers.
with π (x) being the number of prime numbers less than or equal to x. The end points of these two ranges are a square between two pronic numbers, with each of the pronic numbers being twice a pair triangular number. The sum of the pair of triangular numbers is the square.
42 is a pronic number, [1] an abundant number [2] as well as a highly abundant number, [3] a practical number, [4] an admirable number, [5] and a Catalan number. [6]The 42-sided tetracontadigon is the largest such regular polygon that can only tile a vertex alongside other regular polygons, without tiling the plane.
The Biblia pauperum (Latin for "Paupers' Bible") was a tradition of picture Bibles beginning probably with Ansgar, and a common printed block-book in the later Middle Ages to visualize the typological correspondences between the Old and New Testaments. Unlike a simple "illustrated Bible", where the pictures are subordinated to the text, these ...
With 2, 3, and 5 as its prime factors, it is a regular number and the first sphenic number, the smallest of the form , where r is a prime greater than 3. It has an aliquot sum of 42 ; within an aliquot sequence of thirteen composite numbers (30, 42 , 54 , 66 , 78 , 90 , 144 , 259 , 45 , 33 , 15 , 9 , 4 , 3 , 1 , 0) to the Prime in the 3 ...
A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758: Extravagant numbers: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30, 33, 34, 36, 38, ... A number that has fewer digits than the number of digits in its prime factorization (including ...
This led to his conversion to Christianity, as attested to by his publication in 1891 of The Structure of the Bible: A Proof of the Verbal Inspiration of Scripture. [ citation needed ] Until his death in 1942, Ivan Panin labored continuously on searching for numerical patterns in the Hebrew language of the Old Testament and the Greek language ...