Category: Number Theory

PART 1: PRIME NUMBER THEORY Do we have a mathematical formula for calculating the order or sequence of prime numbers? For example, if we look at even numbers, 2, 4, 6, 8, …, you could repeat the pattern because the next number is always 2 more than the previous one. What if you were given…

Let n be a positive integer such that both 2n+12n+1 and 3n+13n+1 are perfect squares. Find all possible values of n. PS: Will need more tutoring in the future, if you do this question well and its correct when I submit, I am willing to discuss and on going tutoring for a discussed price.