Answer:
A) It's not a prime number.
B) 31, 127
Step-by-step explanation:
Given:
Mersenne primes are prime numbers that can be written in the form 2^n - 1, where n is a positive whole number. For example, 3 can be written as 2^2 - 1, which is a Mersenne prime.
Steps:
a) 2^4 - 1 is not a Mersenne prime because 2^4 = 16, and 16 - 1 = 15, which is not a prime number.
b) To identify Mersenne primes from the given list, we need to check which numbers can be expressed as 2^n - 1 for some positive whole number n, and whether the resulting value is prime.
From Evaluation;
- 31 can be expressed as 2^5 - 1, which is prime.
- 127 can be expressed as 2^7 - 1, which is also prime.
Define terms:
- Prime number: A natural number greater than 1 that is only divisible by 1 and itself.
- Mersenne prime: A prime number of the form 2^n - 1, where n is a positive whole number.
Related topics:
Prime number theory - https://brainly.com/question/40514410
Number sequences - https://brainly.com/question/37122407
Modular arithmetic - https://brainly.com/question/14464318
