if `P(n)` be the statement `10n+3` is a prime number", then prove that P(1) and P(2) are true but P(3) is false.

Let P(n) be the statement : 10n + 3 is prime. Is P(3) true ?

Let P (n) be the statement (n - 4) is a whole number. Then P (3) true

If P(n) is the statement n^(2)-n+41 is prime. Prove that P(1),P(2) and P(3) are true. Prove also that P(41) is not true.

If P(n) is the statement n(n+1)(n+2) is divisible is 12 prove that the statements P(3) and P(4) are true,but that P(5) is not true.

If P_(n) is the set of first n prime numbers, then underset(n=3)overset(10)capP_(n) is

If P(n) is the statement 2^(n)>=3n, and if P(r) is true,prove that P(r+1) is true.

If P(n) is the statement n^(3)+n is divisible by 3, prove that P(3) is true but P(4) is not true.

Let P(n) be the statement : 2^(n)gt 1 . Is P(1) true ?

If p_(n) is the set of first n prime numbers, then underset(n=2)overset(10)(U)P_(n)=