I came across this question today.

Given an initial integer n0 > 1, two players, A and B, choose integers n1, n2,
n3, . . . alternately according to the following rules:
Knowing n2k, A chooses any integer n2k+1 such that
n2k · n2k+1 · n2
2k:
Knowing n2k+1, B chooses any integer n2k+2 such that
n2k+1
n2k+2
is a prime raised to a positive integer power.
Player A wins the game by choosing the number 1990; player B wins by choosing
the number 1. For which n0 does:
(a) A have a winning strategy?
(b) B have a winning strategy?
(c) Neither player have a winning strategy?

Maybe you can help
Cannot find Anwers.

Arithmetic Langlands, Topology, and Geometry: What is the role of homotopy theory in the classical, geometric, and quantum Langlands programs?

1. Which number should come next in this series?
25,24,22,19,15
 
A. 4
B. 5
C. 10
D. 14

Que 1.

6+3+5 = 183033

4+8+3= 321265

3+9+4= 271236

Then

5+6+5=??