MathDB

6

Part of 2024 Mathematical Talent Reward Programme

Problems(2)

MTRP OBJECTIVE Q6

Source: MTRP 2024

3/16/2024
Find the maximum possible length of a sequence consisting of non-zero integers, in which the sum of any seven consecutive terms is positive and that of any eleven consecutive terms is negative.
algebra
MTRP SUBJECTIVE Q6

Source: MTRP 2024

3/16/2024
Show that there exists an integer polynomial PP such that P(1)=2024P(1) = 2024 and the set of prime divisors of {P(2k)P(2^k)},k=0,1,2,.....k=0,1,2,..... is an infinite set.
algebrapolynomial