Goldbach Conjecture redefined – number responsibility

Definition 1.:Integer n is p-responsible iff u(2n-p)=1.
Definition 2.:Integer n is responsible iff \exists{p}: u(2n-p)=1

Example: 9 and 6 are 7-responsible, because 18-7=11 (prime) and 12-7=5 (prime), but 11 is not 7-responsible 22-7=15 (u(15)=2, because 15=3*5)

Hence, new (modified) definition of Goldbach Conjecture in terms of new definition:

“Every integer n>1 is responsible.”

Advertisements

About misha

Imagine a story that one can't believe. Hi. Life changes here. Small things only.
This entry was posted in Mathematics. Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s