Quant Question Of The Day: 84

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Numbers

Find the prime number p such that 71p + 1 is a perfect square.

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Quant Question Of The Day: 83
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4 comments

  2. Abhishek Tandon

    I never thought this would happen the solution came in my dream.

    P=73

    71p+1
    71 is also a prime no. So if p=71 then it will be p^2 +1 this is not a perfect square

    If (p+2)*p+1 =p^2+2p+1=(p+1)^2
    Next prime is 73
    73=71+2

    73*71+1= 72^2=5184

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