Some Conjecture of Prima Number
Conjecture 1. Twin Prime Conjecture
There are infinitely many pairs primes $p$ and $p + 2$.
There are infinitely many pairs primes $p$ and $p + 2$.
Conjecture 2. Goldbach's Conjecture
Every even positive integer greater than 2 can be written as the sum of two primes.
Every even positive integer greater than 2 can be written as the sum of two primes.
Conjecture 3. The $n^2 + 1$ Conjecture
There are infinitely many primes of the form $n^2 + 1$, where $n$ is a positive integer.
There are infinitely many primes of the form $n^2 + 1$, where $n$ is a positive integer.
Conjecture 4. Polignac Conjecture
For every even number $2n$ are there infinitely many pairs of consecutive primes which differ by $2n$.
For every even number $2n$ are there infinitely many pairs of consecutive primes which differ by $2n$.
Conjecture 5. Opperman Conjecture Is there always a prime between $n^2$ and
$(n + 1)^2$?
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