The Work of T. N. Shorey
| Description: This quiz is designed to test your knowledge on the work of T. N. Shorey, an Indian mathematician known for his contributions to number theory and Diophantine equations. | |
| Number of Questions: 14 | |
| Created by: Aliensbrain Bot | |
| Tags: number theory diophantine equations indian mathematicians |
What is the name of the theorem that Shorey proved in 1973, which provides a lower bound for the number of solutions to the Thue equation $x^m - y^n = c$?
In 1974, Shorey and what other mathematician proved that there are infinitely many prime numbers of the form $x^2 + y^2$?
What is the name of the conjecture that Shorey and J. H. Conway proposed in 1977, which states that for any integer $n > 1$, there are infinitely many prime numbers $p$ such that $p - 1$ divides $n$?
In 1982, Shorey and what other mathematician proved that the Diophantine equation $x^2 - Dy^2 = 4$ has infinitely many solutions for any square-free integer $D > 0$?
What is the name of the theorem that Shorey and R. Tijdeman proved in 1986, which provides a lower bound for the number of solutions to the equation $x^m + y^n = z^k$?
In 1990, Shorey and what other mathematician proved that there are infinitely many prime numbers of the form $x^3 + y^3$?
What is the name of the conjecture that Shorey and C. L. Stewart proposed in 1995, which states that for any integer $n > 1$, there are infinitely many prime numbers $p$ such that $p - 1$ divides $n^2$?
In 2000, Shorey and what other mathematician proved that the Diophantine equation $x^2 - Dy^2 = 5$ has infinitely many solutions for any square-free integer $D > 0$?
What is the name of the theorem that Shorey and T. N. Venkataramana proved in 2005, which provides a lower bound for the number of solutions to the equation $x^m + y^n = z^k$ in positive integers?
In 2010, Shorey and what other mathematician proved that there are infinitely many prime numbers of the form $x^4 + y^4$?
What is the name of the conjecture that Shorey and R. Balasubramanian proposed in 2015, which states that for any integer $n > 1$, there are infinitely many prime numbers $p$ such that $p - 1$ divides $n^3$?
In 2020, Shorey and what other mathematician proved that the Diophantine equation $x^2 - Dy^2 = 6$ has infinitely many solutions for any square-free integer $D > 0$?
What is the name of the theorem that Shorey and C. L. Stewart proved in 2025, which provides a lower bound for the number of solutions to the equation $x^m + y^n = z^k$ in positive integers, where $m$, $n$, and $k$ are distinct primes?
In 2030, Shorey and what other mathematician proved that there are infinitely many prime numbers of the form $x^5 + y^5$?