The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers.

"If you don't have a consensus that it's nonsense, you don't have a breakthrough."
burt rutanOne of the most spiritual things that can happen to you is a human breakthrough.
steve maraboliThe art of concentrating strength at one point, forcing a breakthrough, rolling up and securing the flanks on either side, and then penetrating like lightning, before the enemy has time to react, deep into his rear.
erwin rommelThe record of the rocks contains very little, other than bacteria and onecelled plants until, about a billion years ago, after some three billion years of invisible progress, a major breakthrough occurred. The first manycelled creatures appeared on earth.
robert jastrowThe obvious mathematical breakthrough would be development of an easy way to factor large prime numbers.
The Arab name for the mountain above Jericho where the monastery is built into the side of the cliff, Jebel Quruntu, means “Mountain of the Forty Days” and it derives from the Crusaders; French word for Lent. If we take our bearings for our Lent from this ancient monastic outpost we will once again be pointed in the direction of the quest for a breakthrough to solidarity.
Martin L. SmithYou never know where a breakthrough might occur, so please pursue various possibilities for potential research. You may not see results as quickly as you wish, but always remember to respect your ideas when you research.
makoto kobayashi