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A square number cannot be a perfect number. The sum of the n first square numbers is ... The Book of Numbers. New York: Springer-Verlag, pp. 30–32, 1996.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
30 is a square pyramidal number. 30 is an even, composite, pronic number.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.
2.30 Lucas primes. 2.31 Lucky primes. 2.32 ... The first 1000 prime numbers ... Primes p for which p − 1 divides the square of the product of all earlier terms. 2 ...
The smallest integer m > 1 such that p n # + m is a prime number, where the primorial p n # is the product of the first n prime numbers. A005235: Semiperfect numbers: 6, 12, 18, 20, 24, 28, 30, 36, 40, 42, ... A natural number n that is equal to the sum of all or some of its proper divisors. A005835: Magic constants
A different trick may be used to prove = = + or in words, the sum of the squares of the first Fibonacci numbers up to is the product of the n-th and (n + 1)-th Fibonacci numbers. To see this, begin with a Fibonacci rectangle of size F n × F n + 1 {\displaystyle F_{n}\times F_{n+1}} and decompose it into squares of size F n , F n − 1 , . . .
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Geometric representation of the square pyramidal number 1 + 4 + 9 + 16 = 30. In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the stacked spheres in a pyramid with a square base. The study of these numbers goes back to Archimedes and Fibonacci.