Home
Class 11
MATHS
P(n):2^n - 1, for n = ……………it is a prime...

`P(n):2^n - 1`, for n = ……………it is a prime number.

Text Solution

Verified by Experts

The correct Answer is:
n = 2
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Complex numbers and Quadratic Equations (Fill in the Blanks)|40 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Complex numbers and Quadratic Equations (True/False Statement)|18 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Trigonometric Functions (True /False Statement)|40 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

Suppose P(n) : n^2 - n + 101 is prime number ....... is not true .

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

Knowledge Check

  • P(n) : 2n + 1 , for n = …………it is not a prime number.

    A
    1
    B
    2
    C
    3
    D
    4

  • P(n) : 4n + 1 , for n = ………….it is not a prime number

    A
    1
    B
    3
    C
    7
    D
    11

  • P(n):n^2 - n +41 , for n = ……, it is not prime number .

    A
    1
    B
    2
    C
    3
    D
    41

    • Similar Questions

    Explore conceptually related problems

    P(n) : 2^n gt n^2 , for n = ………it is true.

    P(n) : 2^(2^n) + 1 is a prime number . For n = ………., it is not true .

    One number is selected from the set S={1,2,3, …., 50} A={n in S//n +(50)/(n) gt 27} B={n in S//n " is prime number"} C={n in S//n " is perfect square"} Then ………of the following probability relation is valid

    If S= {x |x is a positive multiple of 3 less than 100} and P= {x | x is a prime number less than 20} then n(S)+n(P) is equal to

    For P(n):2^n = 0 ………..is true .

    Home
    Profile