In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the same base.

2024年2月29日 · A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization. Examples: not 6. Therefore, 6 is not a smith number. The idea is first find all prime numbers below a limit using Sieve of Sundaram (This is especially useful when we want to check multiple numbers for Smith).

2025年1月31日 · A Smith number is a composite number the sum of whose digits is the sum of the digits of its prime factors (excluding 1). (The primes are excluded since they trivially satisfy this condition). One example of a Smith number is the beast number 666=2·3·3·37, (1) since 6+6+6=2+3+3+(3+7)=18.

A Smith number is a composite number whose sum of digits equals to the sum of digits of its prime factors, excluding 1. It is also known as a joke number. It is a sequence of OEIS A006753. Let's understand it through an example. Example 1: …

A Smith number is a composite number for which the sum of its digits is equal to the sum of the digits in its prime decomposition. Sequence of Smith Numbers. The sequence of Smith numbers begins: $4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346, 355, 378, 382, 391, 438, 454, \ldots$ Also known as

A generalized -Smith number can also be defined as a number satisfying , where is the sum of prime factors and is the sum of digits. There are 47 1-Smith numbers, 21 2-Smith numbers, three 3-Smith numbers, and one 7-Smith, 9-Smith, and 14-Smith number .

2005年3月10日 · Smith numbers, which are perfect cubes, can be termed as Smith Cubic Numbers (Sloane's A098838).