RE: Can You Help My Grandfather ?

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a number whose square root gives the first two odd numbers.

All powers of 5 end in 5 but I have no idea how a square root gives a number. I was thinking maybe 13 * 13 = 169 . I did not find the name of a famous scientist clockmaker born in 1695.

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All powers of 5 end in 5

I think that needs a tiny proof. I would use induction but maybe it can be done simpler.

f(k) = 5^k for k=1 ends in a 5.
assume f(n) ends in a 5
then f(n+1) ends in a 5 since f(n+1) = 5 * f(n) with the final digit of f(n) ending in a 5.

But perhaps I am overcomplicating stuff.

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(Edited)

I did not find the name of a famous scientist clockmaker born in 1695.

Not born but death, you probably didn't read the article well.

But due certain circumstances such as old age, he seemed to have forgotten the year this particular historical figure died

You seem not too confident about your answer. Make up your mind

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Thank you. I was tired when I read the question and clearly misread it.

Asking for the last digit of a random power of five was a fun twist to a question. I probably shouldn't be curating after midnight.

The real kicker was that you spoke about the 17th century. A person born in 1695 is unlikely to have much influence in the 1600s.

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