Pronic Number

Number Theory Level 1

Which of the following numbers are pronic numbers?

Clarifications : A pronic number is a number which can be expressed as a product of two consecutive integers.

Also check Automorphic Number

All the four 12 20 30 42

Ram Mohith by Ram Mohith , 18, India

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1 solution

Ram Mohith
Mar 23, 2018

The given four numbers are : 12 , 20 , 30 , 42

12 = 3 × 4 3 \times 4

20 = 4 × 5 4 \times 5

30 = 5 × 6 5 \times 6

42 = 6 × 7 6 \times 7

Therefore all the given numbers are Pronic Numbers .

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Bonus 1: Is there any negative pronic Numbers?

Bonus 2: Every pronic Number can be expressed as product of two consecutive Integers in how many ways?

Bonus 3: Can a pronic Number be perfect square?

Bonus 4: Let x be a pronic number, then which pronic number satisfies x = x(x+1) = x(x-1)?

Vaibhav Priyadarshi - 2 years, 11 months ago

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