Number Theory – Page 52

Prove-that-n-n-k-1-1-p-k-n-Euler-totient-function-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 142880 by Dwaipayan Shikari last updated on 06/Jun/21 $P r o v e t h a t ϕ (n) = n \prod_{k} (1 - \frac{1}{p_{k}}) ϕ (n) : E u l e r t o t i e n t f u n c t i o n$ Answered by Snail last updated on 06/Jun/21 $I a m c o n s i d e r i n g t h a t u k n o w ϕ (n) i s m u l t i p l i c a t i v e$ $${function}\:{i}.{e}\:\phi\left({ab}\right)=\phi\left({a}\right)\phi\left({b}\right)..{where}\:{a}\:{and}\:{b}\:…

Prove-using-the-density-of-Q-in-R-that-every-real-number-x-is-the-limit-of-a-cauchy-sequence-of-rational-numbers-r-n-n-N-Give-a-sequence-of-irrational-numbers-S-n-such-that-S-n-x-

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Question Number 11799 by tawa last updated on 01/Apr/17 $Prove using the density of Q in R that every real number x is the limit of$ $a cauchy sequence of rational numbers {(r_{n})}_{n \in N} . Give a sequence of irrational$ $numbers (S_{n}) such that S_{n} \to x .$ Terms of Service Privacy Policy…

550-11-50-And-here-5-2-5-2-0-2-50-find-another-three-digit-number-which-is-divisible-by-11-and-the-quotient-is-the-sum-of-the-square-of-the-every-digit-of-the-dividend-

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Question Number 11664 by Nayon last updated on 29/Mar/17 $550 \div 11 = 50 A n d h e r e 5^{2} + 5^{2} + 0^{2} = 50$ $f i n d a n o t h e r t h r e e d i g i t n u m b e r$ $w h i c h i s d i v i s i b l e b y 11 a n d t h e$ $q u o t i e n t i s t h e s u m o f t h e$ $s q u a r e o f t h e e v e r y d i g i t o f$ $t h e d i v i d e n d .$ $$…

What-is-the-smallest-positive-integer-x-for-which-1-32-x-10-y-for-some-positive-integer-y-

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Question Number 11606 by Joel576 last updated on 29/Mar/17 $What is the smallest positive integer x for$ $which \frac{1}{32} = \frac{x}{10^{y}} for some positive integer y ?$ Answered by mrW1 last updated on 29/Mar/17 $$\mathrm{32}{x}=\mathrm{10}^{{y}} =\left(\mathrm{2}×\mathrm{5}\right)^{{y}} =\mathrm{2}^{{y}}…

n-n-1-n-Z-where-is-Eular-phi-function-True-or-false-And-explain-it-

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Question Number 11365 by agni5 last updated on 22/Mar/17 $\emptyset (n) = n - 1, n \in Z, where \emptyset is Eular phi function .$ $True or false . And explain it .$ Commented by bahmanfeshki1 last updated on 22/Mar/17 $i f n b e p r i m e n u m b e r i s t r u e o t h e r w i s e$ $${is}\:{false} \…

How-many-solution-x-y-z-that-fulfilled-x-y-z-99-x-y-z-N-

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Question Number 11321 by Joel576 last updated on 20/Mar/17 $How many solution {x, y, z} that fulfilled$ $x + y + z = 99 ?$ $x, y, z \in N$ Commented by prakash jain last updated on 22/Mar/17 $$\mathrm{Please}\:\mathrm{have}\:\mathrm{a}\:\mathrm{look}\:\mathrm{at}\:\mathrm{stars}\:\mathrm{and}\:\mathrm{bars}…

0-sin-x-0-0-0-sin-2x-0-0-0-sin-3x-0-0-n-th-term-

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Question Number 142263 by Dwaipayan Shikari last updated on 28/May/21 $(\begin{matrix} 0 s i n (x) \\ 0 0 \end{matrix})! + (\begin{matrix} 0 s i n (2 x) \\ 0 0 \end{matrix})! + (\begin{matrix} 0 s i n (3 x) \\ 0 0 \end{matrix})! + \dots n^{t h} t e r m$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-11139

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Question Number 11139 by Joel576 last updated on 13/Mar/17 Commented by Joel576 last updated on 13/Mar/17 $A real number t, so there is a three - ordered - pair$ $solution {x, y, z} that fulfilled$ $x^{2} + 2 y^{2} = 3 z and x + y + z = t$ $$\mathrm{Find}\:{t}…

Let-n-be-the-smallest-positive-integer-that-is-a-multiple-of-75-and-has-exactly-75-positive-integral-divisors-including-1-and-itself-Find-n-75-

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Question Number 11075 by Joel576 last updated on 10/Mar/17 $Let n be the smallest positive integer that is$ $a multiple of 75 and has exactly 75 positive$ $integral divisors, including 1 and itself .$ $Find \frac{n}{75}$ Commented by FilupS last updated on 11/Mar/17…

Which-one-is-largest-without-using-calculator-31-11-or-17-14-

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Question Number 11048 by Joel576 last updated on 09/Mar/17 $Which one is largest ? (without using calculator)$ $31^{11} or 17^{14} ? ?$ Answered by ajfour last updated on 09/Mar/17 Answered by…

Category: Number Theory