Representing the United States, Noam Elkies won a gold medal with a perfect paper at the age of 14 in 1981.

At age 14, Elkies received a gold medal with a perfect score ( one of the 26 participants with the score of 42 ) at the 22nd, 1981 International Mathematical Olympiad, the youngest ever to do so.

Note that both Elkies and Tao could have participated in the IMO multiple times following their success, but entered university and therefore became ineligible.

< tr >< td > Noam D. Elkies </ td >< td > Columbia </ td >< td > 1982 </ td >< td > 1983 </ td >< td > 1984 </ td >< td ></ td ></ tr >

< tr >< td > Noam D. Elkies ( Columbia ) </ td >< td > 1982, 1983, 1984 </ td ></ tr >

Noam Elkies gives an exposition of this result.

This can be understood in terms of the formula for the zeta function Why is so close to 10 ?, Noam Elkies This coincidence was used in the design of slide rules, where the " folded " scales are folded on rather than because it is a more useful number and has the effect of folding the scales in about the same place.

A collection of patterns for the Seeds rule collected by Jason Summers includes patterns found by Stephen Wright, Mirek Wójtowicz, Noam Elkies, Mark Niemiec, Peter Naszvadi, and David Eppstein.

Noam David Elkies ( born August 25, 1966 ) is an American mathematician and chess master.

Elkies graduated from Stuyvesant High School in 1982 and went on to Columbia University, where he won the Putnam competition at the age of sixteen years and four months, making him one of the youngest Putnam Fellows in history.

* Noam D. Elkies, mathematician

Schoof – Elkies – Atkin algorithm •

* Schoof – Elkies – Atkin algorithm

A brace of pistols, holstered on belts, hung from a peg, along with ammunition pouches.

Then, with a glory that almost wiped out the deep, downward sags in her careworn face, Matilda leaned over the wheel and shouted to Hez, who was stumbling along in the heat and the dust on the opposite side of the wagon `` Pa!!

At these words of sympathy and understanding, Harmony said generously, `` I don't mind setting here along with Gran while you go out and join in the games ''.

Already a few hardy folk from their own train were zealously chipping away at the register rocks, leaving their own records along with those made by the earlier trains.

The only drawback now to the plan he'd decided on was that someone else might fail to do his work, too, and the teacher would have that person stay late along with Jack.

Probably a larger percentage of Virginians and South Carolinians remain unreconstructed than elsewhere, with Georgia, North Carolina, and Alabama following along after them.

When the Revolution broke out, he, along with Jefferson and Jay, abandoned his career at the bar, with considerable financial sacrifice.

Dictionaries, as we have seen, still cite this government, along with the Articles of Confederation of 1781, as an example of a confederacy.

In agriculture, for example, despite the advances in biology, elaborate rituals tend to persist along with a continued sense of the imminence of some natural disaster.

she filled the waste spots of the yard with common things like the garden heliotrope in a corner by the woodshed, and the plantain lilies along the west side of the house.

The first sentence, with its platitudinous irony, announces an emblematic intent: `` The way to the churchyard ran along beside the highroad, ran beside it all the way to the end ; ;

These new pictures focussed on the familiar and commonplace objects that he had heard the men in his prison camp talking about as the things they missed most, hence associated with the sense of lost freedom: the cafe at the corner, the newspaper kiosk, the girls in doorways and windows along the street, the golden-crusted French bread they lacked, the cigarettes denied them.

To you, for instance, the word innocence, in this connotation, probably retained its Biblical, or should I say technical sense, and therefore I suppose I must make myself quite clear by saying that I lost -- or rather handed over -- what you would have considered to be my innocence two weeks before I was legally entitled, and in fact by oath required, to hand it over along with what other goods and bads I had.

Swift, in the Dublin edition of A Preface to the Bishop of Sarum's Introduction, indicated his feelings by including Molesworth, along with Toland, Tindal, and Collins, in the group of those who, like Burnet, are engaged in attacking all Convocations of the clergy.

From his playmates in Savannah, Mercer had picked up, along with a soft Southern dialect, traces also of the Gullah dialects of Africa.

Much to Damon Runyon's amazement, as well as my own, I got along splendidly with the Hetman ; ;

In the range and variety of characters who, in their literary lives, get along all right with life styles one never imagined possible, there is an implicit lesson in differentiation.

In this essay, we are, along with most historians, interested in the more general or more inclusive ideas, that are so to speak `` writ large '' in history of literature where they recur continually.

A horse needed twenty pounds of food a day but the infantryman got along with two pounds.

along the Danube and among the Carpathians, in alliance with the Emperor Joseph's armies ; ;

Having done so, he began to experience all the frustrations of others who attempted to get along with Serenissimus and do a job at the same time.

The selective and directional qualities of basic value-orientations are clearly evident in these data: the `` success-oriented '' students choose vocational preparation, the `` other-directed '' choose goals of social adjustment ( `` getting along with people '' ), the `` intellectuals '' choose a liberal arts emphasis.

In all the talk of feudal rights, the knights and bishops must never forget the woolworkers, nor was it easy to do so, for all along the road to Italy they passed the Florentine pack trains going home with their loads of raw wool from England and rough Flemish cloth, the former to be spun and woven by the Arte Della Lana and the latter to be refined and dyed by the Arte Della Calimala with the pigment recently discovered in Asia Minor by one of their members, Bernardo Rucellai, the secret of which they jealously kept for themselves.

He could not afford to lose a drop of the precious water, so he spent most of his waking hours along the ditches in his meadows.

He scuttled in shadow along the east wall of the stockade and then followed the south wall until he was at the rear of the two frame buildings.

Once we get over the mountains others will come along.

They walked the horses, heading along the river, Barton and Emmett Foster in the lead, seven men riding quietly through the night.

Pamela felt calm and peaceful as she walked along.

The car lurched along at a snail's crawl, the left-front mudguard banging and scraping against the tire, occasionally scraping against the road itself.

The Ramirez brothers were also along.

Red, come along.

They rode to the Rockfork House, a little farther along the opposite side of the street.

`` Just come along '', Brannon told him.

You're coming along peacefully, or I'll put a bullet in your leg ''.

`` Not that it matters to me, being this far along ''.

`` Sally and her ma want to trade off on account of Harmony being so far along '', Dan explained.

`` Gyp'll be holdin' forth in some bar if he's here at all '', Cobb declared, glancing along the street as they stretched their legs.

`` I'll shove along home ''.

Cricket took eight ships and went south across the Straits and along the north coast of Mindanao to Cagayan.

I suspected why he brought it along.

He opened the myth book again and there ( along the margin next to Robert Graves' imaginative interpretation of the creation of the Dactyls from Rhea's fingertips ) were the names of four Munich bars and Meredith Wilder's address.

It's all over now, the driver thought as he saw the patrolman turn and walk rapidly down along the trailer toward them.

There was a measure of protection in its concrete walls and ceiling, but the engineers who hastily installed it were well aware that concrete is not much better than prayer, if as efficacious, when a direct hit comes along.

I've helped him along ever since he was a youngster hanging around his brother's tackle shop.