Home
Class 7
MATHS
For what value fo n are 2^(n)-1 and 2^(n...

For what value fo n are `2^(n)-1` and `2^(n)+1` prime?

A

7

B

5

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NUMBERS

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET-1|10 Videos
  • NUMBERS

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET-1|10 Videos
  • LINES AND ANGLES

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET |10 Videos
  • PERCENTAGE AND ITS APPLICATIONS

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 10|10 Videos

Similar Questions

Explore conceptually related problems

Given that N = 2^(n)(2^(n+1) -1) and 2^(n+1) - 1 is a prime number, which of the following is true, where n is a natural number.

What is the first value of n for which n^(2)+n+41 is not a prime? 1 (b) 10(c)20 (d)

The value of (2^(n) + 2^(n -1))/(2^(n+1) -2^(n)) is equal to

If the value of (n + 2) . ""^(n)C_(0) *2^(n+1) - (n+1) * ""^(n)C_(1)*2^(n) + n* ""^(n)C_(2) * 2^(n-1) -... is equal to k(n +1) , the value of k is .

If N is natural number less than 100, then for how many values of N are the numbers 6N+1and15N+2 relatively prime?

What will be the value of n ^(4) -10 n ^(3) + 36 n ^(2) - 49 n + 24 if n =1 ?

Find the value of n if 2n+1,n^(2)+n+1,3n^(2)-3n+3 are consecutive terms of an AP

S CHAND IIT JEE FOUNDATION-NUMBERS-QUESTION BANK -1
  1. Consider the following statements: The number 23 is A. a prime num...

    Text Solution

    |

  2. What is the units digit of the product of all prime numbers between 1 ...

    Text Solution

    |

  3. For what value fo n are 2^(n)-1 and 2^(n)+1 prime?

    Text Solution

    |

  4. In a six digit number, the sum of the digits in the even places is 9 a...

    Text Solution

    |

  5. Which of the following numbers is divisible by 15?

    Text Solution

    |

  6. The difference of a number consisting of two digits and the number ...

    Text Solution

    |

  7. The number 89715938* is divisible by 4. The unknown non-zero digit ...

    Text Solution

    |

  8. An integer is divisible by 16 if and only if its last X digits are ...

    Text Solution

    |

  9. (4^(61)+4^(62)+4^(63)+4^(64)) is divisible by (a) 3 (b) 11 (c) 1...

    Text Solution

    |

  10. If n is any natural number then n^(2)(n^(2)-1) is always divisible

    Text Solution

    |

  11. The sum of all possible two digit numbers formed from three different ...

    Text Solution

    |

  12. A 6-digit number is formed by repeating a 3-digit number: for examp...

    Text Solution

    |

  13. The smallest number to be added to 1000, so that 45 divides the sum ex...

    Text Solution

    |

  14. In the product 459 xx 46 xx 28* xx 484, the digit in the unit place is...

    Text Solution

    |

  15. How many of the following numbers are divisible by 3 but not by 9? ...

    Text Solution

    |

  16. When a number is divided by 893 , the remaineder is 193 . What will be...

    Text Solution

    |

  17. What is the least natural number which leaves no remainder when div...

    Text Solution

    |

  18. Positive integers

    Text Solution

    |

  19. Consider the following statements: A. The product of an integer and ...

    Text Solution

    |

  20. The rational number lying between 5/6 and 6/7 is

    Text Solution

    |