There are an infinite number of composite numbers after 101.
101 is a prime number; it has no composite factors.
102 & 104
Out of those 100 numbers, 21 of them are prime numbers, so the remaining (100 - 21) = 79 are composite.
101 and 131
The numbers are 101 and 102.
Any numbers that don't have common prime factors will do; for example, 23 and 32; 2x3 and 5x7, 3x5 and 2x7, etc.Any two consecutive numbers will have no common factor, for example, 8 and 9 (the first example I gave above), or 100 and 101. However, in the second example, 101 is not a composite number.
Any odd number of consecutive numbers in which the center number is 100 will have this property. The simplest example is 99, 100, 101.
Consecutive means following one another. E and F are consecutive, as are Tuesday and Wednesday and 100 and 101. The number 15 is NOT between any consecutive whole numbers. However, it is between the whole numbers 14 and 16 --- which of course are not consecutive.
99, 100, and 101
The numbers are 101, 103 and 105.