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Forum: Miscellaneous Math 2013-03-28, 01:58
Replies: 1
Views: 546
Posted By soumya
Next perfect square after 2^n.

What will be the next (nearest) perfect square after 2^n (where n is a positive odd integer)? Can you suggest a formula or an algorithm for finding the next perfect square after 2^n?
Forum: Miscellaneous Math 2013-03-27, 19:13
Replies: 2
Views: 597
Posted By soumya
All mersenne primes greater than 3 will end with either 1 or 7?

All mersenne primes greater than 3 will end with either 1 or 7.
Q1. Is the above statement true?
Q2. Why is it so?
Forum: Miscellaneous Math 2013-03-27, 19:07
Replies: 17
Views: 999
Posted By soumya
One of my friends suggested a simpler proof which...

One of my friends suggested a simpler proof which I want to share. Let's presume all factors of C are greater than 'i'. Therefore, all such factors can be written in the form i+k. Let's presume the...
Forum: Miscellaneous Math 2013-03-25, 19:54
Replies: 17
Views: 999
Posted By soumya
Is there any such theorem that states this?

Is there any such theorem that implies/states that if C is a composite number, so that it is greater than an integer i and less than i^2 (i.e. the square of i), then C must have at least one factor...
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