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A primorial x# is the product of all primes from 2 to x. The first: 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 7420738134810 (sequence A002110 in the OEIS). 1# = 1 is sometimes included. A factorial x! is the product of all numbers from 1 to x.
In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors. For example, 21 is the product of 3 and 7 (the result of multiplication), and x ⋅ ( 2 + x ) {\displaystyle x\cdot (2+x)} is the product of x {\displaystyle x} and ( 2 + x ) {\displaystyle ...
The n th term describes the length ... is the number of times n occurs, starting ... 16, 18, 20, 24, 28, 30, 32, 36, 40, ... All smaller positive integers can be ...
Since the greatest prime factor of + = is 157, which is more than 28 twice, 28 is a Størmer number. [ 3 ] Twenty-eight is a harmonic divisor number , [ 4 ] a happy number , [ 5 ] the 7th triangular number , [ 6 ] a hexagonal number , [ 7 ] a Leyland number of the second kind [ 8 ] ( 2 6 − 6 2 {\displaystyle 2^{6}-6^{2}} ), and a centered ...
For instance, to find the product of 13 and 21 one had to double 21 three times, obtaining 2 × 21 = 42, 4 × 21 = 2 × 42 = 84, 8 × 21 = 2 × 84 = 168. The full product could then be found by adding the appropriate terms found in the doubling sequence: [ 16 ]
If one of the factors is composite, it can in turn be written as a product of smaller factors, for example 60 = 3 · 20 = 3 · (5 · 4). Continuing this process until every factor is prime is called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem.
The 28/36 rule says your total housing costs shouldn’t exceed 28% of your gross income, and your total debt shouldn’t exceed 36%. But what does this mean, and how does the rule work in ...
where is the th successive prime number, and all omitted terms (a 22 to a 228) are factors with exponent equal to one (i.e. the number is ). More concisely, it is the product of seven distinct primorials: