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Find all P that make p + 14 and P + 28 prime numbers
So I stroked the floor,
I'm dreaming
Milne (88-956) is a famous British playwright, novelist, fairy tale writer and children's poet. He graduated from Cambridge University. His main fairy tales include Winnie the Pooh (96), Bodhisattva's Cabin (98) and other children's poetry anthologies, when we were very young (94), we were six years old (97). Light comedies, Mr. PIM is past, Michael and Mary In addition, there are detective story the secret of the red house and so on
His cry went away with him
They hold their heads high
Slowly spread out after a thick fragrance, ha ha
Given that P, P + 2, P + 6, P + 8 and P + 14 are prime numbers, then such prime numbers P have the same number______ One
Obviously, P = 2 and P = 3 do not meet the requirements. When p = 5, it is easy to see that 5, 7, 11, 13 and 19 are prime numbers. When p > 5, they are classified according to the remainder of P divided by 5: when p = 5N, P is not prime; when p = 5N + 1, P + 14 = 5 (n + 3) is not prime; when p = 5N + 2, P + 8 = 5 (n + 2) is not prime; when p = 5N + 3, P + 2 = 5 (n + 1
We find that P, P + 10 and P + 14 are all prime numbers
When p = 3k, only 3 is prime; when p = 3K + 1, P + 14 = 3K + 15 = 3 (K + 5), not prime; when p = 3K + 2, P + 10 = 3K + 12 = 3 (K + 4), not prime
RELATED INFORMATIONS
- 1. If the natural numbers P, P + 10 and P + 14 are prime numbers, how many arrays (P, P + 10 and P + 14) are there? If the natural numbers P, P + 10 and P + 14 are prime numbers, then how many numbers (P, P + 10 and P + 14) are there?
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