Advertisements
Advertisements
प्रश्न
The sum of two prime number is always a prime number (True/ False).
उत्तर
The sum of two prime numbers is always a prime number.
False
Reason:
Let us prove the above by taking an example.
Let the two given prime numbers be 2 and 7.
Thus, their sum, i.e; 9 is not a prime number.
Hence the above statement is false
APPEARS IN
संबंधित प्रश्न
Use Euclid's Division Algorithm to show that the cube of any positive integer is either of the 9m, 9m + 1 or 9m + 8 for some integer m
Define HOE of two positive integers and find the HCF of the following pair of numbers:
32 and 54
Define HOE of two positive integers and find the HCF of the following pair of numbers:
18 and 24
Define HOE of two positive integers and find the HCF of the following pair of numbers:
105 and 120
Express each of the following as a rational number in its simplest form:
(i`) 0.bar (8)`
Express each of the following integers as a product of its prime factors:
420
The LCM of two numbers is 1200. Which of the following cannot be their HCF?
If n is a natural number, then 92n − 42n is always divisible by ______.
Show that the cube of a positive integer of the form 6q + r, q is an integer and r = 0, 1, 2, 3, 4, 5 is also of the form 6m + r.
Prove that if x and y are both odd positive integers, then x2 + y2 is even but not divisible by 4.
