does the following statement always give a prime no. for all values of n

Asked by neelsid | 13th Aug, 2010, 11:24: PM

Expert Answer:

consider the expression n2+n+11=n2+2n+11-n                  = n2+2n+1+10-n                  =n+12+10-nThus for n=10, it will be a perfect square.n2+n+11=102+10+11=121=11x11Therefore it is not a prime number.In Mathematics, one example is sufficient to disprove a statement.Thus the statement is not true.">

Answered by  | 14th Aug, 2010, 10:18: AM

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