![SOLVED: Prove that there exists a unique prime number of the form n^2 - 1, where n is an integer and n ≥ 2. SOLVED: Prove that there exists a unique prime number of the form n^2 - 1, where n is an integer and n ≥ 2.](https://cdn.numerade.com/ask_previews/4403145e-c91d-4055-a011-aa0ba6d65c7f_large.jpg)
SOLVED: Prove that there exists a unique prime number of the form n^2 - 1, where n is an integer and n ≥ 2.
![number theory - Are there infinitely many primes of the form $k\cdot 2^n +1$? - Mathematics Stack Exchange number theory - Are there infinitely many primes of the form $k\cdot 2^n +1$? - Mathematics Stack Exchange](https://i.stack.imgur.com/iScA0.jpg)
number theory - Are there infinitely many primes of the form $k\cdot 2^n +1$? - Mathematics Stack Exchange
![If 2n+1 is a prime number, show that 1^2, 2^2, 3^2,,,,,n^2 when divided by 2n+1 leave different remainders. If 2n+1 is a prime number, show that 1^2, 2^2, 3^2,,,,,n^2 when divided by 2n+1 leave different remainders.](https://haygot.s3.amazonaws.com/questions/1575330_1745475_ans_52f2f9a51794480c842cc778b1592190.jpg)
If 2n+1 is a prime number, show that 1^2, 2^2, 3^2,,,,,n^2 when divided by 2n+1 leave different remainders.
![number theory - Does $lcm\{1,2,...,n\} = \prod_{p\leq n, p\in\mathbb{P}}p^{\lceil \frac{log(n)}{log(p)}\rceil}$? - Mathematics Stack Exchange number theory - Does $lcm\{1,2,...,n\} = \prod_{p\leq n, p\in\mathbb{P}}p^{\lceil \frac{log(n)}{log(p)}\rceil}$? - Mathematics Stack Exchange](https://i.stack.imgur.com/nnC6x.png)
number theory - Does $lcm\{1,2,...,n\} = \prod_{p\leq n, p\in\mathbb{P}}p^{\lceil \frac{log(n)}{log(p)}\rceil}$? - Mathematics Stack Exchange
![T Madas. A prime number or simply a prime, is a number with exactly two factors. These two factors are always the number 1 and the prime number itself. - ppt download T Madas. A prime number or simply a prime, is a number with exactly two factors. These two factors are always the number 1 and the prime number itself. - ppt download](https://images.slideplayer.com/25/7820136/slides/slide_21.jpg)
T Madas. A prime number or simply a prime, is a number with exactly two factors. These two factors are always the number 1 and the prime number itself. - ppt download
If [math]P[/math] is a prime number and [math]P_1[/math] is the previous prime number, I've found that [math]P_1-\frac{P_1^2}{P}[/math] tends to an even integer as [math]P[/math] increases. Can this be proved? - Quora
For which of the numbers, from n = 2 to 8, is 2n – 1 a prime? - Sarthaks eConnect | Largest Online Education Community
![SOLVED: 12. Assuming that pn is the nth prime number, establish each of the following statements: (a) pn > 2n -1 for n > 5. (b) None of the integers Pn = SOLVED: 12. Assuming that pn is the nth prime number, establish each of the following statements: (a) pn > 2n -1 for n > 5. (b) None of the integers Pn =](https://cdn.numerade.com/ask_images/5a40292749814a419a19449acc1724d8.jpg)