Wednesday, March 6

Facts About 43 :

Facts About 43 :
► 43 is the smallest non-palindromic prime which on subtracting its reverse gives a perfect square: 43 - 34 = 3^2

► 43^(7/23) = 3.141539853... (a real accurate approximation of pi)

► 43 + 4^3 is prime.

► IMPORTANT FOR CAT-2013 : Let a(0) = a(1) = 1, and thenceforth

a(n) = (a(0)^2 + a(1)^2 + ... + a(n-1)^2) / (n-1).

Amazingly, a(43) is the first term of this sequence that is not an integer.





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