MathDB

gcd of the elements of P, numbers of 2-digits, product of 8 consecutive

Source: Netherlands - Dutch NMO 1975, year 1975-76 (also named as 1975 -2) p2

January 27, 2023

number theoryconsecutive

Problem Statement

Let

T = \{n \in N|

n consists of

2

digits

\}

and

P = \{x|x = n(n + 1)... (n + 7); n,n + 1,..., n + 7 \in T\}.

Determine the gcd of the elements of

P