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All integers are either even or odd. A square has even multiplicity for all prime factors (it is of the form a 2 for some a). The first: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 (sequence A000290 in the OEIS). A cube has all multiplicities divisible by 3 (it is of the form a 3 for some a).
This is a list of articles about prime numbers.A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers.
35 is a tetrahedral number. The 35 free hexominoes. 35 is the sum of the first five triangular numbers, making it a tetrahedral number. [1]35 is the 10th discrete semiprime [2] and the first with 5 as the lowest non-unitary factor, thus being the first of the form (5.q) where q is a higher prime.
The same prime factor may occur more than once; this example has two copies of the prime factor When a prime occurs multiple times, exponentiation can be used to group together multiple copies of the same prime number: for example, in the second way of writing the product above, 5 2 {\displaystyle 5^{2}} denotes the square or second power of 5 ...
For n ≥ 2, a(n) is the prime that is finally reached when you start with n, concatenate its prime factors (A037276) and repeat until a prime is reached; a(n) = −1 if no prime is ever reached. A037274
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
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67 is: the 19th prime number (the next is 71). a Chen prime. [1] an irregular prime. [2] a lucky prime. [3] the sum of five consecutive primes (7 + 11 + 13 + 17 + 19). a Heegner number. [4] a Pillai prime since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18. [5] palindromic in quinary (232 5) and senary (151 6). a ...