Number Theory – Page 15

Find-the-natural-number-n-such-n-7-a-17-b-a-N-b-N-and-the-sum-of-all-its-divisors-1-and-n-included-is-2456-

Tinku Tara June 4, 2023 Number Theory 0 Comments

Question Number 183998 by JDamian last updated on 01/Jan/23 $Find the natural number n s u c h$ $n = 7^{a} \cdot 17^{b} a \in N, b \in N$ $and the sum of all its divisors (1 and$ $n included) is 2456 .$ Commented by Rasheed.Sindhi last updated…

Prove-that-is-an-irrational-number-

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Question Number 118362 by Ar Brandon last updated on 17/Oct/20 $Prove that π is an irrational number$ Answered by MJS_new last updated on 17/Oct/20 $search the www$ $there are several proofs, no “ {easy}^{″} one .$ …

Find-the-sum-of-the-prime-factors-of-20-5-21-

Tinku Tara June 4, 2023 Number Theory 0 Comments

Question Number 118357 by conclaude last updated on 17/Oct/20 $Find the sum of the prime factors of$ $20^{5} + 21 .$ Answered by MJS_new last updated on 17/Oct/20 $$\mathrm{20}^{\mathrm{5}} +\mathrm{21}=\mathrm{3200021}=\mathrm{11}×\mathrm{421}×\mathrm{691} \…

find-the-laplace-invesrse-for-I-s-I-s-2000s-2-s-2-200-2-s-2-400s-2-10-5-

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Question Number 183678 by ali009 last updated on 28/Dec/22 $f i n d t h e l a p l a c e i n v e s r s e f o r I (s)$ $I (s) = \frac{2000 s^{2}}{(s^{2} + 200^{2}) (s^{2} + 400 s + 2 \times 10^{5})}$ Terms of Service Privacy Policy Contact:…

Determine-all-functions-f-R-R-such-that-the-equality-f-x-y-f-x-f-y-holds-for-all-x-y-R-Here-by-x-we-denote-the-greatest-integer-not-exceeding-x-

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Question Number 117848 by john santu last updated on 14/Oct/20 $D e t e r m i n e a l l f u n c t i o n s f : R \to R$ $s u c h t h a t t h e e q u a l i t y f ([x] y) = f (x) [f (y)]$ $h o l d s f o r a l l x, y \in R . H e r e b y [x] w e$ $d e n o t e t h e g r e a t e s t i n t e g e r n o t e x c e e d i n g x .$ Terms of Service Privacy…

Find-the-units-digit-of-2013-1-2013-2-2013-3-2013-2013-

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Question Number 117369 by bemath last updated on 11/Oct/20 $Find the units digit of 2013^{1} + 2013^{2} + 2013^{3} + \dots + 2013^{2013}$ Answered by JDamian last updated on 11/Oct/20 $${S}=\mathrm{2013}^{\mathrm{1}} +\mathrm{2013}^{\mathrm{2}} +\:\centerdot\centerdot\centerdot\:+\:\mathrm{2013}^{\mathrm{2013}}…

If-x-is-a-complex-number-satisfying-x-2-x-1-0-what-is-the-value-of-x-53-x-52-x-51-x-50-x-49-

Tinku Tara June 4, 2023 Number Theory 0 Comments

Question Number 117045 by bobhans last updated on 09/Oct/20 $If x is a complex number satisfying$ $x^{2} + x + 1 = 0, what is the value of$ $x^{53} + x^{52} + x^{51} + x^{50} + x^{49} ?$ Answered by john…

739-is-a-prime-number-and-its-reversed-number-937-is-also-prime-Determine-4-digit-prime-numbers-whose-reversed-be-also-prime-If-number-of-such-primes-is-a-function-of-number-of-digits-determ

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Question Number 51507 by Rasheed.Sindhi last updated on 27/Dec/18 $^{∙} 739 i s a p r i m e n u m b e r a n d$ $i t s r e v e r s e d n u m b e r 937 i s a l s o$ $p r i m e .$ $D e t e r m i n e 4 - d i g i t p r i m e n u m b e r s$ $w h o s e r e v e r s e d b e a l s o p r i m e .$ $^{∙} I f n u m b e r o f s u c h p r i m e s i s a$ $${function}\:{of}\:{number}\:{of}\:{digits}, \…

Question-182374

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Question Number 182374 by rs4089 last updated on 08/Dec/22 Commented by Rasheed.Sindhi last updated on 08/Dec/22 $a = 10, b = 13, n = 3197$ $OR$ $a = 13, b = 10, n = 3197$ Answered by…

what-the-value-of-log-10-1-in-complex-number-

Tinku Tara June 4, 2023 Number Theory 0 Comments

Question Number 116725 by bemath last updated on 06/Oct/20 $what the value of \log_{10} (- 1) in$ $complex number$ Commented by bemath last updated on 06/Oct/20 $thank you prof$ …

Category: Number Theory