3
From Number
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Summary
Factorization
The number 3 is a prime number.
Properties and families
Property or family | Parameter values | First few numbers | Proof of satisfaction/membership/containment |
---|---|---|---|
prime number | second prime number | 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, [SHOW MORE]View list on OEIS | divide and check |
Sophie Germain prime | second Sophie Germain prime | 2, 3, 5, 11, 23, 29, 41, 53, 83, 89, [SHOW MORE]View list on OEIS | divide and check |
Mersenne number | , i.e., | plug and check | |
Mersenne prime (both a prime number and a Mersenne number) | same as for Mersenne number | combine above | |
regular prime | first regular prime | 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, [SHOW MORE]View list on OEIS | |
twin primes (lesser member of pair) | first lesser member twin prime | 3, 5, 11, 17, 29, 41, 59, 71, 101, [SHOW MORE]View list on OEIS | 3 + 2 = 5 is prime |