This reminds me of a discovery I made some years ago. I tried to find a 'continuation' to the well-know Pythagorean numbers 32 + 42 = 52, which is the only solution (with natural numbers) to the problem in the equation:

x2  +  (x+1)2  =  (x+2)2

The 'continuation' I tried was:

x2  +  (x+1)2  +  (x+2)2  =  (x+3)2  +  (x+4)2

Here also there was only one solution: 102 + 112 + 122  = 132 + 142. Remarkably this gives the sum 365.

Fired by this discovery I searched for more coincidences and could make this little table:

3 + 4 + 5 = 12 10 + 11 + 12 + 13 + 14  = 60
3 * 4 * 5 = 60 10 * 11 * 12 * 13 * 14 = 240,240 = 60 * 4,004
32 + 42 + 52 = 50 102 + 112 + 122 + 132 + 142 = 730 = 10 * 73

73 (of course) is 365 / 5 (miraculously connected to the period of Venus) and 4,004 is the number of years BC when (according to Bishop Usher) Earth had been created by God.