prime factorization in a sentence

Examples

1. The prime factorization method can be applied by adding a new prime number for every additional layer of infinity ( 2 ^ s 3 ^ c 5 ^ f, with f the ferry ).
2. It can be represented by the exponent vector ( 3, 2, 0, 1 ), which gives the exponents of 2, 3, 5, and 7 in the prime factorization.
3. You can figure out the totient from the prime factorization of n + 1 and ( just guessing ) you have higher chances of a match when n + 1 is made of small factors.
4. However, it is possible to trick a verifier into accepting a composite number by giving it a " prime factorization " of " n " & minus; 1 that includes composite numbers.
5. It considers the connection between perfect numbers and Mersenne primes ( known as the Euclid Euler theorem ), the prime factorizations ), and the Euclidean algorithm for finding the greatest common divisor of two numbers.
6. For instance the statement " an integer's prime factorization is unique " up to ordering " ", means that the prime factorization is unique if we disregard the order of the factors.
7. For instance the statement " an integer's prime factorization is unique " up to ordering " ", means that the prime factorization is unique if we disregard the order of the factors.
8. Any function in the library can be executed from a regular BASIC program by using GOTO " LIB0 : NNNN " where NNNN is the function number ( e . g . 5010 for prime factorization ).
9. An "'equidigital number "'is 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.
10. Iteratively dividing by the " p " factors shows that each " p " has an equal counterpart " q "; the two prime factorizations are identical except for their order.