130k views
0 votes
What prime is 4 greater than a perfect square and 7 less than the next perfect square?

User Evaldaz
by
7.8k points

1 Answer

5 votes

Answer:

29

Explanation:

The squares cannot be very big. For example the difference between 10^ and 11^2 = 100 to 121 which is a difference of 21.

What you are talking about is x + 4 prime + 7 next square.

Write the squares

1

4

9

16

25

36

add 4 to get to the prime, add 7 to get to the next square. That's 12

1 and 4 have a difference of 3 too small

4 and 9 have a difference of 5 too small

9 and 16 have a difference of 7 which is too small

16 and 25 have a difference of 9 which just a little too small.

25 and 36 has a difference of 11. Just right

25 + 4 = 29

29 + 7 = 36

Just right.

User Ziyad
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories