Talk:Grimm's conjecture

Grimm's implies?

I know that one thing it does is that there is a prime between m² and (m+1)² were n = m² and k = 2*m + 1.

See p 271 of this http://books.google.com/books?id=6VDDz7yXRGIC&pg=PA271&lpg=PA271&dq=%22Grimm's+Conjecture%22&source=web&ots=HZvfbzCs0u&sig=z70YlxiKl6799pGsBZ3DmwpimNs&hl=en&sa=X&oi=book_result&resnum=18&ct=result#PPA270,M1

If I am not mistaken it also, because of the above, implies that Andrica's is true if Grimm's is true.

What else? It would be nice if every conjecture article in Wikipedia's math had a section telling what implications are implied. And, with other conjectures, show how each other is related.

Reddwarf2956 (talk) 18:25, 19 July 2008 (UTC)

Grimm's implies that there's a prime between m and m plus the number of primes up to m Roderick MacPhee (talk) 18:33, 19 April 2023 (UTC)

You're confusing Legendre and Grimm Roderick MacPhee (talk) 19:07, 19 April 2023 (UTC)