Number Theory – Page 58

Show-that-3-5-7-9-2013-1-mod-11-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 5947 by Yozzii last updated on 07/Jun/16 $S h o w t h a t 3!^{5!^{7!^{9!^{\dots 2013!}}}} \equiv 1 (m o d 11) .$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Given-a-b-and-c-is-real-number-satisfy-a-b-c-4-and-ab-ac-bc-3-The-value-of-3c-2-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 136996 by EDWIN88 last updated on 28/Mar/21 $Given a, b and c is real number satisfy$ $a + b + c = 4 and ab + ac + bc = 3 . The value$ $of ⌈ 3 c + 2 ⌉ = ?$ Terms of Service Privacy Policy Contact: info@tinkutara.com

How-many-ways-can-you-express-30-030-as-the-product-of-4-positive-numbers-excluding-1-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 5796 by FilupSmith last updated on 28/May/16 $How many ways can you express$ $30, 030 as the product of 4 positive numbers ?$ $(excluding 1)$ Commented by Rasheed Soomro last updated on 28/May/16 $${I}\:{didn}'{t}\:{think}\:\:{k},{l},{m},{n}\:{to}\:{be}\:{necessarily}\:{prime}!…

Determine-all-solutions-in-the-integers-of-the-following-Diophantine-equations-a-56x-72y-40-b-24x-138y-18-c-221x-35y-11-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 136830 by bramlexs22 last updated on 26/Mar/21 Determine all solutions in the integers of the following Diophantine equations: (a)56x+72y=40 (b)24x+138y=18 (c)221x+35y=11…

if-a-b-mod-c-does-b-a-mod-c-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 5749 by FilupSmith last updated on 26/May/16 $if a \equiv b (\mod c)$ $d o e s :$ $b \equiv a (\mod c)$ $? ? ?$ Commented by Rasheed Soomro last updated on…

How-do-you-solve-the-diophantine-equation-1-3xy-2x-y-12-2-x-3-4y-2-4y-3-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 136792 by EDWIN88 last updated on 26/Mar/21 $How do you solve the diophantine equation$ $(1) 3 xy + 2 x + y = 12 ?$ $(2) x^{3} = {4 y}^{2} + 4 y - 3 ?$ Answered by mindispower last updated on 26/Mar/21…

Let-p-j-represent-the-j-th-prime-number-Now-define-the-number-n-whose-decimal-representation-is-written-out-in-terms-of-p-j-j-N-in-the-following-way-n-0-p-1-p-2-p-3-p-4-p-5-p-j-p-j-1-p-j-

Tinku Tara June 3, 2023 Number Theory 0 Comments

Question Number 5216 by Yozzii last updated on 01/May/16 $L e t p_{j} r e p r e s e n t t h e j - t h p r i m e n u m b e r .$ $N o w, d e f i n e t h e n u m b e r n w h o s e$ $d e c i m a l r e p r e s e n t a t i o n i s w r i t t e n o u t$ $i n t e r m s o f p_{j} (j \in N) i n t h e f o l l o w i n g$ $w a y :$ $${n}=\mathrm{0}.{p}_{\mathrm{1}} {p}_{\mathrm{2}} {p}_{\mathrm{3}} {p}_{\mathrm{4}}…

Category: Number Theory

Show-that-3-5-7-9-2013-1-mod-11-

Given-a-b-and-c-is-real-number-satisfy-a-b-c-4-and-ab-ac-bc-3-The-value-of-3c-2-

How-many-ways-can-you-express-30-030-as-the-product-of-4-positive-numbers-excluding-1-

Determine-all-solutions-in-the-integers-of-the-following-Diophantine-equations-a-56x-72y-40-b-24x-138y-18-c-221x-35y-11-

if-a-b-mod-c-does-b-a-mod-c-

How-do-you-solve-the-diophantine-equation-1-3xy-2x-y-12-2-x-3-4y-2-4y-3-

Let-p-j-represent-the-j-th-prime-number-Now-define-the-number-n-whose-decimal-representation-is-written-out-in-terms-of-p-j-j-N-in-the-following-way-n-0-p-1-p-2-p-3-p-4-p-5-p-j-p-j-1-p-j-

If-2-x-and-3-x-are-integers-for-some-x-R-must-x-be-an-integer-

what-is-i-1-

Find-the-value-of-2023-mod-2027-