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What is the next number of the following sequence - 13, 34, 74, 170, 290, ??

+1 vote
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What is the next number of the following sequence - 13, 34, 74, 170, 290, ??
posted Feb 16, 2015 by anonymous

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1 Answer

+1 vote

13 = 4 + 9 = 2^2 + 3^2
34 = 9+25 = 3^2 + 5^2
74 = 25 + 49 = 5^2 + 7^2
170 = 49 + 121 = 7^2 + 11^2
290 = 121 + 169 = 11^2 + 13^2

Similarly

458 = 169+289 = 13^2 + 17^2

answer Feb 17, 2015 by Salil Agrawal
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