CLAT Sample Paper CLAT Sample Paper-12

  • question_answer
    If \[{{2}^{P}}+1\] is a prime number, then P must be power of

    A)  2                                

    B)  3                    

    C)  5                    

    D)         6

    Correct Answer: A

    Solution :

    Since, \[{{2}^{P}}+1\] a prime number. So, \[{{2}^{1}}+1=3\] \[{{2}^{2}}+1=5\] \[{{2}^{{{(2)}^{2}}}}={{2}^{4}}+1=17\] \[{{2}^{{{(2)}^{3}}}}={{2}^{8}}+1=257\] Here, the value of P is 2 or the power of 2.


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