1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AURORKA [14]
3 years ago
5

There is more than one integer greater than 1 which leaves a reminder of1 when divided by each of the four smallest primes

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

210

Complete question found at brainly(ID): 18678557 is stated below.

There is more than one integer, greater than 1, which leaves a remainder of 1 when divided by each of the four smallest primes. What is the difference between the two smallest such integers?

Step-by-step explanation:

Prime numbers are numbers that can only be divided by itself and 1

The smallest of the prime numbers we have = 2, 3, 5, 7

Since the integers greater than 1 are said to be divided by the four smallest prime numbers, we would assume the number of integers are 4 in total.

Let the integers be T

From the question:

Integer/(prime number) = quotient + (remainder/prime number)

Integer/(prime number) = Q + R/P

Let the different quotients derived from all 4 prime number = w, x, y, z

For prime 2:

T/2 = w + 1/2

T/2 - 1/2 = w

(T-1)/2 = w

T = 2w + 1

T-1 = 2w

Following the above solution

For prime 3:

T = 3x + 1

T-1 = 3x

For prime 5:

T = 5y + 1

T-1 = 5y

For prime 7:

T = 7z + 1

T-1 = 7z

T-1= T-1 = T-1 = T-1

2w = 3x = 5y = 7z

T-1 = LCM of all the prime numbers

T- 1 = 2×3×5×7

T-1 = 210

T = 210+1 = 211

T = 211

The smallest of the integer greater than 1 that leaves a remainder of 1 = 1(T-1) + 1 = 211

The next after the smallest number: 2(T-1) +1= 2(210) + 1 = 421

The two smallest number = 1(T-1) + 1 and 2(T-1) +1 respectively

The difference between the two smallest such integers = 421-211 = 210

You might be interested in
Answer to get the most points all multiples of 2,3,4 and 5
Taya2010 [7]

Answer:

Step-by-step explanation:

1:    1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10....

2:   2, 4, 6, 8, 10....

3:  3, 6, 9, 12, 15, 18, 21, 24, 27....

4:   4, 8, 12, 16, 20, 24, 28, 30....

5:   5, 10, 15, 20, 25, 30, 35 40, 45...

8 0
3 years ago
Read 2 more answers
Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if yo
spin [16.1K]

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

6 0
3 years ago
Fill in the blanks below.
Crank
The slope for the first one would be:
y2-y1/x2-x1, so replace those with the coordinates and you'll get:
-3-1/-7-(-7) => -4/0 so I guess the slope is zero

the slope for the second one would be:
-3-(-3)/5-(-4)=> 0/9 I think this one would be undefined.
Check to make sure, though!
4 0
3 years ago
Read 2 more answers
Pls, help me with this function table in the screenshot below...
Y_Kistochka [10]

Answer:

-17

Step-by-step explanation:

Every number x goes up, the f(x) goes up by 9. -8+9=1 and 1+9=10. Therefore if the number goes down, you subtract. -8-9=-17

7 0
3 years ago
Please help ASAP, No links or report, Tysm!
Margarita [4]

Answer:

<u>96 ft</u> is the perimeter of the figure.

Step-by-step explanation:

9 + 9 + 9 + 9 + 9 + 9 + 12 + 30 = 96

Have a nice day!

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help as soon as possible ​
    9·1 answer
  • I need help with 3,4,5 please someone
    15·1 answer
  • The two opposite vertices of a square are (-2,2) and (1,-1). What are the other two vertices of the square?
    15·1 answer
  • Point Q is the midpoint of GH. GQ=2x+3, and GH=5x−5 .
    11·1 answer
  • The cost of C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?
    13·1 answer
  • A paper company ships one 110.4 tons of paper in four trucks if Eachtruck carries the same weight how many tons of
    8·2 answers
  • Earlier in this course, you explored Euclidean geometry, which is the study of flat space. This approach follows the teachings o
    14·1 answer
  • Iron makes up 4.5% of the Earth's crust. Which is another way to write 4.5% of a value?
    10·1 answer
  • PLEASE NEED HELP PROPOTION AND PERCENTS !!!WILL GIVE BEST RATE​
    7·2 answers
  • Make sure your answer is in
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!