hanugm

Questions (89)

 11 Expressing a factorial as difference of powers: $\sum_{r=0}^{n}\binom{n}{r}(-1)^r(l-r)^n=n!$? 9 Is there any polynomial function $f$ such that If $\gcd(p,q)=1$ then $\gcd(f(p),f(q))=1$ for all such $p,q$? 7 Example for $\dfrac{p_1p_2-1}{p_1+p_2}$ being odd natural number . 6 Order of derivation 4 Carmichael Number

Reputation (890)

 +10 Definition for terms in probability +3 Understanding sorts in many sorted logic intuitively +5 Sorts in many sorted logic +5 Problem on total probability

 3 basic question on integration 2 Prove that $133$ divides $11^{n+1} + 12^{2n−1}$ for all $n > 1$? 2 Please just tell me if my working is correct. 2 If $z > 3$ is an integer, is there an integer $a > z$ such that $(z-j) \mid (a-j)$ for every $1 \leq j \leq z-1$? 0 In the principle of Mathematical Induction, why do we take the base case as $P(1)$ only?

Tags (57)

 4 elementary-number-theory × 16 2 divisibility × 3 3 calculus 0 prime-numbers × 15 3 integration 0 definition × 12 2 induction × 8 0 notation × 9 2 probability-theory × 3 0 logic × 8

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