e chose two prime numbers p = 17, q = 11, and e = 7. calculate d and show the public and private keys.

Answers

Answer 1

The public key is (187, 7) and the private key is (187, 23).

What is the modular multiplicative inverse?

To find d, we need to calculate the modular multiplicative inverse of e modulo φ(n), where n = p * q and φ(n) = (p - 1) * (q - 1).

First, we calculate φ(n):

φ(n) = (p - 1) * (q - 1) = 16 * 10 = 160

Next, we need to find d such that:

d * e ≡ 1 (mod φ(n))

To solve this equation, we can use the extended Euclidean algorithm. We start by dividing φ(n) by e and finding the remainder:

160 = 7 * 22 + 6

Then we divide e by 6 and find the quotient and remainder:

7 = 6 * 1 + 1

Next, we express 1 as a linear combination of φ(n) and e using the quotients and remainders we found:

1 = 7 - 6 * 1

= 7 - (160 - 7 * 22) * 1

= 7 * 23 - 160

So, we have d = 23.

Now we can calculate the public and private keys:

Public key: (n, e) = (17 * 11, 7) = (187, 7)

Private key: (n, d) = (17 * 11, 23) = (187, 23)

The public key is given to anyone who wants to send a message to the receiver. The sender uses this key to encrypt the message by raising it to the power of e modulo n.

The private key is kept secret by the receiver and is used to decrypt the message. The receiver raises the encrypted message to the power of d modulo n to recover the original message.

In summary, the public key is (187, 7) and the private key is (187, 23).

Learn more about private key

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Related Questions

You have to solve the problem \frac{3}{4}-\frac{1}{8} ​4 ​ ​3 ​​ − ​8 ​ ​1 ​​ . After you make the denominators the same, what do you do?


FOR ALL MY POINTS

Answers

Answer:

If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other

ex. 1/2 - 1/3

make a common denominator (or find the least common multiple)

3/6 - 2/6

subtract the numerators

take 2 from 3 and put that on top.

Solution 1/2-1/3= 3/6-2/6= 1/6

5-c=-9c-6
Anyone know the answer?

Answers

Answer:

c=-8/11

Step-by-step explanation:

PLEASE HELP!!!!!!!! Identify the angle of elevation.

Answers

Answer:

8

Step-by-step explanation:

Hope it helps you in your learning process.

Solve the expression:
14. What is 3y +4; when y=2
15. What is 4x + x-10; whenx=6
ASAP pls

Answers

Answer:

3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30

Logan ran a 200-meter rase in 25.24 seconds, and Scott ran 0.4 kilometer in 52.77 seconds. Who ran faster, Logan or Scott? And at what rate did they run meters per second

Answers

Neither Logan or Scott ran farther than the other they were in the same miles at the same time.

Which expression is represented by the model?


4X43
-4X-3
-4x+3

Answers

4x43 im pretty sureeeeeeeeeeeeee
4x43 I think yeppppppppp

5y=2x+5 Y=-x +6
( x, y)

Answers

Answer:

Step-by-step explanation:

6/5 + 2x/5= y

3+ 5y/2 = x

4x - 8 - 6x + 10 = ?

Answers

Answer:

-2x + 2

Step-by-step explanation:

Answer:

-2x+2

Step-by-step explanation:

This is the farthest this expression can be reduced to, there is no way to solve it

Hope this helps (:

Find the measure of Angles A, C, D

Answers

Answer:

A= 65 C= 65 and D= 115

Step-by-step explanation:

given a parallelogram .

interior angles sum is 360 degree.

sum of adjacent angles is 180degree.

opposite angles are congruent (B=D).

A + B + C + D = 360

(A + D) + C + 115 = 360 since A and D are adjacent angles .

180 + 115 + C = 360

295 + C = 360

C = 360 - 295

C = 65

D = 115

A = 65

a+b+c+d=360

65 + 65 + 115 + 115 = 360

130 + 230 = 360

360 = 360

If someone can help that would be great

Answers

Answer:

x = 16

Step-by-step explanation:

For the triangle to be isosceles then AB = CB , that is

5x - 9 = 4x + 7 ( subtract 4x from both sides )

x - 9 = 7 ( add 9 to both sides )

x = 16

I am going to repeat myself ONE LAST TIME. Please help!

What is the domain of the function y = StartRoot x EndRoot?

Answers

It’s C!

Hope this helps :)

Si para introducirun producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200

Answers

Complete question :

si para introducir un producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200 ¿que porcentaje se cobra por impuesto?

Responder:

18,75%

Explicación paso a paso:

Dado que:

Monto cobrado por impuestos = $ 225

Costo del producto sujeto a impuestos = $ 1200

El porcentaje del precio de costo del producto que se grava:

Sea porcentaje = x%

x% * precio de coste = importe de impuestos

0.01x * $ 1200 = $ 225

12x = 225

x = 225/12

x = 18,75

Por tanto, porcentaje de impuesto = 18,75%

Choose the statement that describes a way to solve the equation x – 23 = 18.

Answers

Answer:

x-23=18

x=18+23

x=41

Step-by-step explanation:

go to - 23 on the other side after equal to the changed sign and find x

Kadin and Silas went to a movie that started at 1:55 p.m. and got out at 4:10 p.m.
How long was the movie?
O A. 3 hr. 15 min.
O B. 2 hr. 55 min.
C. 3 hr. 45 min.
O D. 2 hr. 15 min.
E. 2 hr. 65 min.

Answers

Answer:

D

Step-by-step explanation:

4.10pm-1.55pm

=3.70pm-1.55pm

=2hr15min

libro de matemáticas 1 de secundaria pag 108

porfavor es para hoy ಠ﹏ಠ​

Answers

con repuesta y todo para mi friend, no mas que las demas no pude contestarlas ya que estava en clase y ahorita estoy haciendo tarea ok

pregón de servicio
kjjj​

Answers

Answer:

what

Step-by-step explanation:

cooli don’t understand what you’re saying sorry you’re a good one lol I love your mom I don’t want you to be like you I mean you mean I don’t want you to be mad at me I mean it’s not funny I don’t want you to be mad at me I mean I don’t know why I didn’t say that I mean it’s nothing like I mean it’s like a good job I just want you know what to say

If the formula for finding the area of a rectangle is A=bh, then how could you describe the formula for finding the area of a triangle

Answers

Answer:

A=LxW

Step-by-step explanation:

Answer:

El perímetro de un triángulo es igual a la suma de sus tres lados.

b   x h

 2

Si tenemos un cuadrado cuyos lados miden 1/3 en 7 partes iguales, ¿Cuál es su área?

Answers

Answer:

English please?

Step-by-step explanation:

...........

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=47(0.63)
x

Answers

It represents decay because the term inside the parentheses (which is “b”) is less than one. To find the percentage rate, subtract b from 1 and multiply it by 100.

1-0.63=0.37
0.37(100)=37

So the final answer is 37% decrease.

Answer:

decay function

percent rate of decrease is 37%

Step-by-step explanation:

I assume the x is the exponent.

[tex] y = 47(0.63)^x [/tex]

The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.

Each unit more in x results in 0.63 being multiplied by the number.

Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.

Answer:

decay function

percent rate of decrease is 37%

A ladder is leaning against a building. The distance from the bottom of the
ladder to the building is 20 ft shorter than the length of the ladder. How high
up the side of the building is the top of the ladder if that distance is 10 ft less
than the length of the ladder?

Answers

i’m pretty sure it’s 2

What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula

Answers

Answer:

x= −5−11√13/2, −5+11√13/2

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x= −5−11√13/2, −5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Step-by-step explanation:

x(x+5)=387

Simplify

x(x+5).

x^2+5x=387

Subtract 387 from both sides of the equation.

x^2+5x−387=0

Use the quadratic formula to find the solutions.

−b±√b^2−4(ac)/2a

Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1

Simplify.

x=−5±11√13/2

The final answer is the combination of both solutions.

x=−5−11√13/2, −5+11√13/2

The result can be shown in multiple forms.

Exact Form:

x=−5−11√13/2,−5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Hope it is helpful....

Answer:

[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

x(x + 5) = 387

Step 2: Identify Variables

Rewrite

[Distributive Property] Distribute x:                                                               x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides:                  x² + 5x - 387 = 0Part:                                                                                                                 a = 1, b = 5, c = -387

Step 3: Solve for x

Substitute in variables [Quadratic Formula]:                                                [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply:                                                                                         [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply:                                                                  [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify:                                                                        [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]

Help me it is an hw due soon please

Answers

Answer:

1st is 1/4 and 2nd is 1/10

[tex]\sqrt{2x-3} =5[/tex]

Answers

X=14

How to:
Square both sides then solve the equation

Plz help me with this

Answers

B is the correct answer

HELP ME!!!!!!!!!!! Its the one in the middle

Answers

Answer:

[tex]\frac{x3(p+5)}{10p(p-1)}[/tex]

Step-by-step explanation:

BRAINLIEST PLEASE

3x - 2y= 5, 4x + 3y= 1​

Answers

Answer:

x=17 and y=23 DONT SUE ME IF I GET THIS WRONG PLZZ ;-;

Step-by-step explanation:

Answer:

(1, - 1 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 5 → (1)

4x + 3y = 1 → (2)

Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y- term

9x - 6y = 15 → (3)

8x + 6y = 2 → (4)

Add (3) and (4) term by term to eliminate y

17x + 0 = 17

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

4(1) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

solution is (1, - 1 )

When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).​

Answers

Answer:

About 51.6 feet

Step-by-step explanation:

50^2+13^2

Square root of 2669 is 51.66236541

Write an equation that models the linear relationship in the graph below

Answers

Answer:

y=-4/7x+4

Step-by-step explanation:

hope this helps

Answer:

4/7+4=y

Step-by-step explanation:

y=mx+b

what is the answer. (11 x -8) + 7(x - 1) can you explain the answer in a sensible way. Thank you
Algebra question

Answers

Answer:

11x-8+7x-7

11x+7x-8-7

18x-15

Step-by-step explanation:

10 this dodge is good

Which of the relations has a domain of {-5, 0, 5}?

A. {(-5, 5), (0, 5), (5,5)}
B. {(0, -5), (0, 0), (0, 5)}
C. {(-5, 0), (0, 5), (1, 0)}

Answers

Answer:

B

Step-by-step explanation:

its that how you would look like if you were anime sorry was looking at your pf. have a nice day

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