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
![Set of the Mersenne numbers 2^n - 1 within the first 512 x 512 = 2^18 =... | Download Scientific Diagram Set of the Mersenne numbers 2^n - 1 within the first 512 x 512 = 2^18 =... | Download Scientific Diagram](https://www.researchgate.net/publication/350373840/figure/fig2/AS:1009351535898624@1617659567049/Set-of-the-Mersenne-numbers-2n-1-within-the-first-512-x-512-218-262144-prime.png)
Set of the Mersenne numbers 2^n - 1 within the first 512 x 512 = 2^18 =... | Download Scientific Diagram
![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)
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 =
![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
![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)