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Jay thinks of a prime number. The sum of its digits is one more than a square number. Write down one number jay could be thinking of.

1 Answer

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Answer:

Jay could be thinking of 11

Explanation:

Prime numbers are the numbers that have two factors only, 1 and itself as

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, .................

All prime numbers can divide by 1 and itself only

∵ A number is a prime number

∵ The sum of its digits is 1 more a square number

The sum of its digits = 1 + x, where x is a square number

→ We will start with the first prime number of 2-digits

11 is a prime number

∵ The sum of its digits = 1 + 1 = 2

→ Substitute it in the equation above to find x

2 = 1 + x

→ Subtract 1 from both sides

∵ 2 - 1 = 1 - 1 + x

1 = x

1 is the square of 1

Jay could be thinking of 11

You can check some of the other prime numbers to find another number

User Vikas Gautam
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