But in every other order, up to the 12th inclusive, magic squares have been constructed with the lowest series of primes theoretically possible.
Similarly, in the case of the fourth order, the lowest series of primes that are "theoretically suitable" will not serve.
But primes of the second form can never be expressed as the sum of two squares in any way whatever.
In order that a number may be expressed as the sum of two squares in several different ways, it is necessary that it shall be a composite number containing a certain number of primes of our first form.
Now, primes of the first form can always be expressed as the sum of two squares, and in only one way.
No more Primes at six o'clock in the morning," concluded Juanita, suddenly allowing Cousin Peligros to sit again.
Do you ever go to Primes at six o'clock in the morning, Cousin Peligros?
Each cylinder is provided with a relief valve, both at the top and at the bottom, to relieve the cylinder from a heavy charge of water, such as may occur if the boiler primes heavily.
They are most needed when the boiler primes heavily, and the water might knock out the cylinder heads or covers.
Fao and Deggi were the only other Primes they had ever talked to in their lives.
For a time which would not have been considered polite in Tellurian social circles the four Primes stood still, each couple facing the other with blocks set tight, studying each other with their eyes.
All usPrimes have to get hell knocked out of us before we amount to a whoop in Hades.
Illustration: In an unparalleled blast of Gunther power the primes of many worlds head toward the meeting on Tellus.
In about two weeks the Primes of many worlds will meet in person on Tellus.
Many of them had not really believed that any Primes abler than themselves existed.
However, since Operators and Primes are automatically stacked like Tennick Towers, I don't suppose your recruits will be unduly perturbed at, or will squawk too much about, overexposure.
Only sixty-one of the planets, however, have Primes old enough for us to detect.
What's the use of beingPrimes if we can't get any good out of it?
You Primes don't really have to have any Operators at all, you know; but all your Operators together would be perfectly helpless without at least one Prime.
Faster and faster the explosions came as the Operator and the Primes learned the routine and the rhythm of the job.
ComOff Flurnoy had less than a quarter of one roll of recorder-tape left unused, and the Primes had enough information to start the project they had in mind.
Perchloric acid, composed of seven primes of oxygen and one of chlorine, is obtained from chlorate of potassa, treated in a particular manner.
The gun-lock is calculated for firing cannon as well as musquetry; it is contrived to hold forty primings of such powder; and the act of raising the cock primes the piece.
The primes indicate the ends of the windings at the socket end, and the letters without the primes indicate the ends of the windings at the switch end of the heater.
When the orders of all the factor-groups are primes the group is said to be soluble.
The Traveling Salesman Constant The Tribonacci constant The twinprimes constant.
She thinks such superstitions aren't good for the minds of the Primes and Infants," and the story-teller laughed.
From the first, there was rigid Federal control and laws regulating the use of Primesright down to the local level.
The nitre contains five primes of oxygen, of which three, combining with the three of charcoal, will furnish three of carbonic oxide gas, while the remaining two will convert the one prime of sulphur into sulphurous acid gas.
When two primes of the electro-negative member combine with one prime of the electro-positive, a supersalt is formed, as bichloride of tin, or bisulphate of potassa.
A salt called in modern chemistry sesquicarbonate, to denote its being composed of one and a half equivalent primes of carbonic acid, and one of ammonia.
When water primes badly, it is liable to break cylinder packing rings, knock out cylinder heads, break bolts in the steam chest and cut the valves.
If it primes well, but breaks when the steam is turned on wide, where would you look for the trouble?
The primes include all those adapted to general first-class trade, while the seconds include the smaller and more irregular stock which goes to a lower priced trade.
They had been sitting about him, the night this opinion was announced, in the parlor of the suite of rooms the Primes had taken.
Here are the Primesand Amy Lawrence--then the regiments must be coming!
Another thing was speedily apparent, the entente cordial between her radiant self and the Primes was at an end, if indeed it ever existed.
Knowing all this, the colonel queried further: "You went in town, as I remember, late that evening and called on the Primes and other people at the Palace.
I wish I had known about him earlier--before the Primes came," said Armstrong thoughtfully, knocking the ashes off his cigar.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "primes" in a variety of sentences. We hope that you will now be able to make sentences using this word.
