The number a is prime, and both a + 10 and a + 14 are prime. What is the number a?

① When a = 3k, only 3 satisfies the problem; when a = 3K + 1, a + 14 = 3K + 15 = 3 (K + 5), so a + 14 is not prime; when a = 3K + 2, P + 10 = 3K + 12 = 3 (K + 4), so a + 10 is not prime; to sum up, a = 3

RELATED INFORMATIONS

1. How to prove that a number is prime?
2. How to prove whether a number is prime or not in many ways To prove whether a number is a prime, for example, to prove whether the integer n is a prime, let I = 2 and do the divisor in turn until I
3. How to quickly verify whether a number is prime Find out a random number, how to quickly determine whether it is a prime? The main idea of the algorithm can be required
4. Is there such a prime number, which is still prime if it is added with 10 and 14 respectively? If so, there are () prime numbers
5. If a ^ n - 1 is a prime, prove that a = 2 and N is a prime
6. How to prove that P = n! - 1 is a prime number
7. Prime guess prime = 2 * prime + prime,
8. Given that n > 1, a > 1 and an-1 is a prime number, find the value of a, and explain that n is also a prime number Is the n-th power of a - 1 is a prime number, not an-1 is a prime number, the above type is wrong
9. P is prime 2 ^ P + 3 ^ P = a ^ n prove n = 1
10. Let a = (11 111), (a total of N 1), find all N, so that a is prime
11. A number a is prime, and a + 10, a + 14 are also prime. How much is a? A number a is prime, and a + 10, a + 14 are also prime. How much is a? Use elementary formula Help me
12. Find such a prime number, when it adds 10 and 14, it is still prime
13. Prove that prime numbers are infinite
14. How to prove that there are infinitely many primes?
15. Who can help me explain how to prove that there are infinitely many primes Let a = p1p2 × ×pn+1 But a cannot be replaced by P1, P2 So a is a prime, But 2 * 3 * 5 * 7 * 11 * 13 + 1 = 30031 can be divisible. How is this proof right
16. How to prove that there are infinitely many primes It's urgent
17. It is proved that there are infinitely many primes in the form of 6K + 5 Write specific process, hope to list different ways to prove. The best way to prove the contrary!
18. Please prove that there are infinitely many prime numbers
19. It is proved that there are infinitely many prime numbers of type 4k-1 I'm studying and researching the mathematical thought of group theory and studying Zhang Guangxiang's book. I can't do this exercise I believe that the essence of mathematical research is no different from other knowledge. The key point of problem solving lies in the depth of our understanding of existing simple and similar problems. In fact, there are many examples to illustrate the essential characteristics and laws of an abstract concept. Mathematicians need to study every aspect carefully in order to deeply grasp a concept, thought and method I'm not a professional mathematician, and I lack this kind of environment and energy. But I'm born with a very deep understanding and passion for mathematics. For example, group, such concepts and ideas are really amazing I want 4k-1, not 4K + 1. For example, 7 is not 4K + 1. My knowledge of number theory is very limited,
20. It is known that the sum of two natural numbers is 900, and the product of their greatest common divisor and least common multiple is 432