Inegalitate - distributia numerelor prime

Moderator: Filip Chindea

Post Reply
User avatar
Cezar Lupu
Site Admin
Posts: 612
Joined: Wed Sep 26, 2007 2:04 pm
Location: Bucuresti sau Constanta
Contact:
Contact Cezar Lupu

Inegalitate - distributia numerelor prime

Post by Cezar Lupu »

Sa se arate ca pentru orice \( n\geq 1 \) numar natural are loc inegalitatea

\( p_{1}p_{2}\ldots p_{n}> p_{p_{n}} \), unde \( p_{n} \) este al \( n \)-lea numar prim.

Dragos Popescu, GMA 1970
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
Top
Post Reply

Return to “Teoria analitica a numerelor”