Famously inspired by baseball players Roger Maris, Mark McGwire, and Sammy Sosa, Maris–McGwire–Sosa pairs (or MMG pairs/numbers) are used in recreational mathematics to denote a particular situation concerning two consecutive natural numbers. The concept was named so by Mike Keith, an engineer and mathematician from the United States.
Ruth–Aaron pairs
Bulgarian numbers
Monastery-church pairs
Factor pairs
Mike Keith
Mikel Keith
Micheal Keith
Michael Keith
2
4
6
8
The same sum
A different value
The number greater than 10
The number less than 10
59
60
61
62
Yes
No
Yes, if and only if an integer is involved
Yes, if and only if a negative number is involved
(n, n + 1)
(n, n - 1)
2n
(2n + 1)
Yes
No
Yes, if and only if we have one negative number
Yes, if and only if we have at least one fraction
Zero
Smallest integer
Largest integer
The middle number
Whole number
Integer
Irrational number
Prime number