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Number TheoryQuestion and Answers: Page 2

Question Number 211943    Answers: 2   Comments: 1

2^(m−1) =1+mn m, n ∈Z

2m1=1+mnm,nZ

Question Number 211635    Answers: 1   Comments: 0

Question Number 211595    Answers: 1   Comments: 0

Question Number 211456    Answers: 2   Comments: 0

Question Number 211455    Answers: 2   Comments: 0

Question Number 211454    Answers: 2   Comments: 0

Question Number 211453    Answers: 1   Comments: 0

Question Number 211445    Answers: 1   Comments: 0

Question Number 211443    Answers: 1   Comments: 0

Question Number 208506    Answers: 2   Comments: 0

What is the smallest number which must added to 9454351626 so that it will become divisible by 11?

What is the smallest number which must added to 9454351626 so that it will become divisible by 11?

Question Number 207713    Answers: 2   Comments: 0

Question Number 207436    Answers: 1   Comments: 2

a, b∈N_+ , ((b+1)/a)+((a+1)/b)∈Z. Prove that (a, b)≤(√(a+b.))

a,bN+,b+1a+a+1bZ.Provethat(a,b)a+b.

Question Number 207423    Answers: 2   Comments: 0

Question Number 207060    Answers: 2   Comments: 0

Question Number 207021    Answers: 1   Comments: 1

If a_(n+1) =2−5a_n and a_4 = −8 prove that a_(43) −a_(30) divisible by 5

Ifan+1=25ananda4=8provethata43a30divisibleby5

Question Number 206999    Answers: 3   Comments: 1

Prove that 6^(20) −1 = 0 (mod 7)

Provethat6201=0(mod7)

Question Number 206912    Answers: 3   Comments: 0

Question Number 205922    Answers: 2   Comments: 0

x = 2 (mod 7) x=3 (mod 4) x=?

x=2(mod7)x=3(mod4)x=?

Question Number 204568    Answers: 1   Comments: 0

how to convert 31230 in base 60? pls help

howtoconvert31230inbase60?plshelp

Question Number 203509    Answers: 0   Comments: 0

Find the value of: Π_(n=1) ^∞ ((2^n +1)/(2^n −1))

Findthevalueof:n=12n+12n1

Question Number 203146    Answers: 1   Comments: 0

Determine ab^(−) (a>b) such that( ab^(−) +ba^(−) ) and (ab^(−) −ba^(−) ) are both perfect squares.

Determineab(a>b)suchthat(ab+ba)and(abba)arebothperfectsquares.

Question Number 202716    Answers: 1   Comments: 0

abcd ^(−) is a four digit number such that a^2 +b^2 +c^2 +d^2 = cd ^(−) and cd ^(−) − d ^(−) = ab ^(−) . Find the number.

abcdisafourdigitnumbersuchthata2+b2+c2+d2=cdandcdd=ab.Findthenumber.

Question Number 201418    Answers: 2   Comments: 0

2025^(2025) = x (mod 17 )

20252025=x(mod17)

Question Number 201352    Answers: 3   Comments: 0

2023^(2023) = ... (mod 13)

20232023=...(mod13)

Question Number 200836    Answers: 1   Comments: 4

Let abc ^(−) + bca ^(−) + cab ^(−) = defg ^(−) where a,b,...,g are decimal digits (may be equal to 0) Show that (i) dg ^(−) =a+b+c (ii) e=f=d+g

Letabc+bca+cab=defgwherea,b,...,garedecimaldigits(maybeequalto0)Showthat(i)dg=a+b+c(ii)e=f=d+g

Question Number 200834    Answers: 1   Comments: 0

Show that abc ^(−) + bca ^(−) + cab ^(−) is divisible by 37

Showthatabc+bca+cabisdivisibleby37

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