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Find a closed formula for b(n) for an arbitrary n belongs

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Reference no: EM131027497

1- For n belongs to N (set of natural numbers) let B(n) denote the number of digits used in the binary representation of n. For example
B(1) = 1;
B(2) = 2;
B(3) = 2;
B(4) = 3:

Find a closed formula for B(n) for an arbitrary n belongs to N.

2: Prove that if gcd(a, b) = d then a/d and b/d are relatively prime.

3- Find the smallest prime factor of (p1)(p2)...(pk) +1, where p1, p2, ... pk are the kth smallest primes for all positive integers k not exceeding 50.

Reference no: EM131027497

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