User:Roderick MacPhee
A loser who apparently knows more about Grimm's conjecture, twin prime conjecture, Goldbach's conjecture, Collatz conjecture, Legendre's conjecture, and more.
Collatz Conjecture
[edit]A sequence of form follows the same iteration pathway through the Collatz function that has until gets used up as the lead coefficient.
Legendre's conjecture
[edit]Legendre's conjecture, states there is always a prime between and . This is the same as saying that for any Has a prime between itself and
Goldbach's conjecture
[edit]Goldbach's conjecture is p+q=2n has solution where p,q are primes. You can also state it, as all composites are the arithmetic mean, of 4 not necessarily distinct semiprimes. Either (p,2n-p) is a pair that works or distances n,-n congruent modulo p can be ruled out.
Grimm's Conjecture
[edit]Grimm's conjecture is: a set of composite numbers, has a bijective mapping for prime divisors. This only works if the nth prime gap, is less than n.
Twin prime conjecture
[edit]The twin prime conjecture is that there infinitely many twin prime pairs (pairs of primes that differ by 2). Because:
and as well as we can say natural numbers not of these forms must exist or twin prime conjecture would be false.