Acta Mathematica Universitatis Ostraviensis - DML-CZ
... From the above theorem it follows that for any positive integer M , there exist infinitely many pseudoprimes with at least M distinct prime divisors. In a joint note with Sierpiński [30] we proved that the equation 2x − xy = 2 has one solution with both x and y prime, infinitely many with both x an ...
... From the above theorem it follows that for any positive integer M , there exist infinitely many pseudoprimes with at least M distinct prime divisors. In a joint note with Sierpiński [30] we proved that the equation 2x − xy = 2 has one solution with both x and y prime, infinitely many with both x an ...
Quiz 2 Solutions
... As with all induction-type problems, begin by doing mindless work. Verify that the base case is correct, write the induction hypothesis, and state what you are attempting to prove. In this problem, we note a simplifying step however. This step is optional. There are two options: (a) We run through i ...
... As with all induction-type problems, begin by doing mindless work. Verify that the base case is correct, write the induction hypothesis, and state what you are attempting to prove. In this problem, we note a simplifying step however. This step is optional. There are two options: (a) We run through i ...
Vertex Form of Quadratic Equations
... Is there a way to tell how many x-intercepts a parabola will have without solving the equation? Yes, use the discriminant (also called the radicand of the quadratic formula – see page 293 of textbook) ...
... Is there a way to tell how many x-intercepts a parabola will have without solving the equation? Yes, use the discriminant (also called the radicand of the quadratic formula – see page 293 of textbook) ...
On the Sum and Product of Distinct Prime Factors of an Odd Perfect
... between Descartes and Mersenne [5], and has remained unsuccessful to this day; at present, the nonexistence of odd perfect numbers has not been proved either although it is known that if an odd perfect number exists it has to exceed 10300 [2]. Over the last 350 years a significant body of work by so ...
... between Descartes and Mersenne [5], and has remained unsuccessful to this day; at present, the nonexistence of odd perfect numbers has not been proved either although it is known that if an odd perfect number exists it has to exceed 10300 [2]. Over the last 350 years a significant body of work by so ...