Seminar on Hilbert`s Tenth Problem Homework, due October 14
... d) Show that Ab (n) ≡ ± (Ab (j))±1 mod v. e) Prove the second congruence property, i.e. αb (n) ≡ ±αb (j) mod v. For d) and e), please note that the ±-sign(s) do(es) not necessarily correspond with the one in n = 2lm ± j. Exercise 2. Let b ≥ 2 and x be natural numbers. a) Prove that x = αb (m) for so ...
... d) Show that Ab (n) ≡ ± (Ab (j))±1 mod v. e) Prove the second congruence property, i.e. αb (n) ≡ ±αb (j) mod v. For d) and e), please note that the ±-sign(s) do(es) not necessarily correspond with the one in n = 2lm ± j. Exercise 2. Let b ≥ 2 and x be natural numbers. a) Prove that x = αb (m) for so ...
Consecutive Odd Numbers
... Plan to investigate and solve: I will solve an equation to find the least of five consecutive odd numbers whose sum is 3055. I will choose the variable x to represent the least number of the five numbers. My equation will be x + (x+2) + (x+4) + (x+6) + (x+8) = 3055. If x is a odd number , the next c ...
... Plan to investigate and solve: I will solve an equation to find the least of five consecutive odd numbers whose sum is 3055. I will choose the variable x to represent the least number of the five numbers. My equation will be x + (x+2) + (x+4) + (x+6) + (x+8) = 3055. If x is a odd number , the next c ...
