Full text
... (151) HPTs less than 108 as well as many larger ones having more than two prime factors. D. Buell [2] has found all (146) UHPTs less than 10 8 . More recently, W. Beck & R. Najar [1] have studied the properties of HP's and UHP's. One of the results they obtained was the following. Proposition 1: If ...
... (151) HPTs less than 108 as well as many larger ones having more than two prime factors. D. Buell [2] has found all (146) UHPTs less than 10 8 . More recently, W. Beck & R. Najar [1] have studied the properties of HP's and UHP's. One of the results they obtained was the following. Proposition 1: If ...
For screen
... A problem arising in the theory of finite groups and strongly connected to Equation (1) is to find prime numbers P and Q and rational integers n ≥ 3 and a ≥ 1 such that (Qn − 1)/(Q − 1) = P a , see e.g., [8]. Our Theorem 1 allows us to prove that the latter equation with a ≥ 2 is not solvable for Q ...
... A problem arising in the theory of finite groups and strongly connected to Equation (1) is to find prime numbers P and Q and rational integers n ≥ 3 and a ≥ 1 such that (Qn − 1)/(Q − 1) = P a , see e.g., [8]. Our Theorem 1 allows us to prove that the latter equation with a ≥ 2 is not solvable for Q ...
Remainder Theorem
... number then,pn-1 =1(mod n) Consider an example; Q.2) Find remainder of 741 is divided by 41. Here, 41 is a prime number. Therefore, [7 40 x 7 /41] (By Fermat’s theorem) which is equal to 7. TB – Wieferich prime: is a prime number p such that p2 divides 2p − 1 – 1 relating with Fermat little theorem, ...
... number then,pn-1 =1(mod n) Consider an example; Q.2) Find remainder of 741 is divided by 41. Here, 41 is a prime number. Therefore, [7 40 x 7 /41] (By Fermat’s theorem) which is equal to 7. TB – Wieferich prime: is a prime number p such that p2 divides 2p − 1 – 1 relating with Fermat little theorem, ...
