Co-prime numbers are those that do not share a greatest common denominator larger than 1.
The list of single digit co-primes is below (note that each co-prime also has a conjunctive, where the terms are reversed)
(1, 1)(1, 2)(1, 3)(1, 4)(1, 5)(1, 6)(1, 7)(1, 8)(1, 9)(2, 1)(2, 3)(2, 5)(2, 7)(2, 9)(3, 1)(3, 2)(3, 4)(3, 5)(3, 7)(3, 8)(4, 1)(4, 3)(4, 5)(4, 7)(4, 9)(5, 1)(5, 2)(5, 3)(5, 4)(5, 6)(5, 7)(5, 8)(5, 9)(6, 1)(6, 5)(6, 7)(7, 1)(7, 2)(7, 3)(7, 4)(7, 5)(7, 6)(7, 8)(7, 9)(8, 1)(8, 3)(8, 5)(8, 7)(8, 9)(9, 1)(9, 2)(9, 4)(9, 5)(9, 7)(9, 8)
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The first two-digit prime number is 11.
The largest two-digit prime number is 97.
23
679 is the product of the largest single-digit prime number and the largest two-digit prime number.
No two digit prime number exists that is a multiple of 7. All two digit numbers that are multiples of 7 are compositenumbers.