Question

p, p + 2, p + 4 are called __________ if all numbers are primes.
(a) Pythagorean Triplet
(b) Prime Triplet
(c) Lucas number
(d) Fermat number

Answer 1

b) prime triplet
may be the answer

Answer 2

Answer:

The correct answer is Option B i.e. Prime Triplet.

Explanation:

i) Pythagorean triplets are a set of three numbers such that the sum of the squares of the smaller two number is the square of the third number.

$a^{2} + b^{2} = c^{2}$

It has nothing to do with prime numbers.

ii) Prime triplet is a set of prime numbers such that the difference between the smallest and the largest of them is 6. They are of the form p, (p+2) , (p+6) or p, (p+4) , (p+6).

Hence, Option B is the correct answer.

iii) Lucas numbers are a series of integers in which every term is the sum of the preceding two terms. The series is 2,1,3,4,7,11,18...

It has nothing to do with prime numbers.

iv)  Fermat number is given by

$F_{n} = 2^{2^{n} } + 1$

The series is given as 3, 5, 17, 257...

It has nothing to do with prime numbers.

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