The Solitute Of Prime Numbers Quotes

You'll get used to it. In the end you won't even notice it anymore," he said.
"How is that possible? It will always be there, right before my eyes."
"Exactly," said Mattia. "Which is precisely why you won't see it anymore. ~ Paolo Giordano

My work on prime gaps lead to lots of media coverage, some good, some bad, some ugly, and some merely ridiculous. For example, a reporter of our university newspaper, who admitted that he is still learning English, wrote that "Prof. Goldston solved one of the most controversial problems in the prime number theory last month with support from his Turkish partner." ~ Daniel Goldston

I've got a few ideas," (Amy) admitted. "But I don't know where we're going in the long term. I mean - have you ever thought about what this ultimate treasure could be?"
"Something cool." (Dan)
"Oh, that's real helpful. I mean, what could make somebody the most powerful Cahill in history? And why thirty-nine clues?"
Dan shrugged. "Thirty-nine is a sweet number. It's thirteen times three. It's also the sum of five prime numbers in a row - 3,5,7,11,13. And if you add the first three powers of three, 3 to the first, 3 to the second, and s to the third, you get thirty-nine."
Amy stared at him. "How did you know that?"
"What do you mean? It's obvious. ~ Rick Riordan

Quadratic reciprocity is the song of love in the land of prime numbers. ~ Kato

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate. ~ Leonhard Euler

I, Galileo, son of the late Vicenzo Galilei, swear that I never said that the prime numbers are useless. What I said was that you cannot count lunar craters by counting 2, 3, 5, 7 ... ~ Galileo Galilei

The worst solitute is to be destitute of true friendship. ~ Francis Bacon

Twin primes: pairs of prime numbers that are close to each other, almost neighbors, but between them there is always an even number that prevents them from truly touching. If you have the patience to go on counting, you discover that these pairs gradually become rarer. You encounter increasingly isolated primes, lost in that silent, measured space made only of ciphers, and you develop a distressing presentiment that the pairs encountered up until that point were accidental, that solitude is the true destiny. Then, just when you're about to surrender, when you no longer have the desire to go on counting, you come across another pair of twins, clutching each other tightly. ~ Paolo Giordano

He treated Root exactly as he treated prime numbers. For him, primes were the base on which all other natural numbers relied; and children were the foundation of everything worthwhile in the adult world ~ Yoko Ogawa

Mathematicians call them twin primes: pairs of prime numbers that are close to each other, almost neighbors, but between them there is always an even number that prevents them from truly touching. Numbers like 11 and 13, like 17 and 19, 41 and 43. If you have the patience to go on counting, you discover that these pairs gradually become rarer. You encounter increasingly isolated primes, lost in that silent, measured space made only of ciphers, and you develop a distressing presentiment that the pairs encountered up until that point were accidental, that solitude is the true destiny. Then, just when you're about to surrender, when you no longer have the desire to go on counting, you come across another pair of twins, clutching each other tightly. There is a common conviction among mathematicians that however far you go, there will always be another two, even if no one can say where exactly, until they are discovered.

Mattia thought that he and Alice were like that, twin primes, alone and lost, close but not close enough to really touch each other. He had never told her that. When he imagined confessing these things to her, the thin layer of sweat on his hands evaporated completely and for a good ten minutes he was no longer capable of touching anything. ~ Paolo Giordano

3 is a prime, 5 is a prime, and 7 is a prime. Why bother with non-prime numbers when the primes can do everything? ~ William Of Ockham

Prime numbers are divisible only by 1 and by themselves. They hold their place in the infinite series of natural numbers, squashed, like all numbers, between two others, but one step further than the rest. They are suspicious, solitary numbers, which is why Mattia thought they were wonderful. Sometimes he thought that they had ended up in that sequence by mistake, that they'd been trapped, like pearls strung on a necklace. Other times he suspected that they too would have preferred to be like all others, just ordinary numbers, but for some reason they couldn't do it. This second thought struck him mostly at night, in the chaotic interweaving of images that comes before sleep, when the mind is too weak to tell itself lies. ~ Paolo Giordano

[Rhyme is] but the invention of a barbarous age, to set off wretched matter and lame Meter; ... Not without cause therefore some both Italian and Spanish poets of prime note have rejected rhyme, ... as have also long since our best English tragedies, as ... trivial and of no true musical delight; which [truly] consists only in apt numbers, fit quantity of syllables, and the sense variously drawn out from one verse into another, not in the jingling sound of like endings, a fault avoided by the learned ancients both in poetry and all good oratory. ~ John Milton

While a great many other ideas and measures are of prime importance for the good life of the community, that which concerns its architectural expression is the notion of the community as limited in numbers, and in area ... To express these relations clearly, to embody them in buildings and roads and gardens in which each individual structure will be subordinated to the whole - this is the end of community planning. ~ Lewis Mumford

Technical speaking one is a beautiful number. One is its own factorial, its own square, its own cube. It is neither a prime number nor a composite number. It is the first two numbers of the Fibonacci sequence. It is the empty product. Any number raised to the zero power is one. It might be argued that one is the most independent number known to man. It can do things no other number is capable of. ~ Michelle Richmond

Q5. Have not I merely shown that it is possible to outdo just a particular algorithmic procedure, A, by defeating it with the computation Cq(n)? Why does this show that I can do better than any A whatsoever?

The argument certainly does show that we can do better than any algorithm. This is the whole point of a reductio ad absurdum argument of this kind that I have used here. I think that an analogy might be helpful here. Some readers will know of Euclid's argument that there is no largest prime number. This, also, is a reductio ad absurdum. Euclid's argument is as follows. Suppose, on the contrary, that there is a largest prime; call it p. Now consider the product N of all the primes up to p and add 1:

N=2*3*5*...*p+1.

N is certainly larger than p, but it cannot be divisible by any of the prime numbers 2,3,5...,p (since it leaves the remainder 1 on division); so either N is the required prime itself or it is composite-in which case it is divisible by a prime larger than p. Either way, there would have to be a prime larger than p, which contradicts the initial assumption that p is the largest prime. Hence there is no largest prime. The argument, being a reductio ad absurdum, does not merely show that a particular prime p can be defeated by finding a larger one; it shows that there cannot be any largest prime at all. Likewise, the Godel-Turing argument above does not merely show that a particular algorithm A can be defeated, it shows that there ~ Roger Penrose

The brain is the only kind of object capable of understanding that the cosmos is even there, or why there are infinitely many prime numbers, or that apples fall because of the curvature of space-time, or that obeying its own inborn instincts can be morally wrong, or that it itself exists. ~ David Deutsch

The prime ideal is a princess of the world of ideals. Her father is the prince 'Point' in the world of geometry. Her mother is the princess 'Prime Numbers' in the world of numbers. She inherits the purity from her parents. ~ Kato

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

3 is prime, 5 is prime, 7 is prime. According to some ancient manuscripts 9 is not a prime number, but beyond the distant horizon of the oceans, in the New World that I am going to discover, there are surely lots of them. ~ Christopher Columbus

In a great number of the cosmogonic myths the world is said to have developed from a great water, which was the prime matter. In many cases, as for instance in an Indian myth, this prime matter is indicated as a solution, out of which the solid earth crystallized out. ~ Svante Arrhenius

My self-imposed solitude, at first a punishment I inflicted upon myself, became a kind of solace. I was apart from the city, my only reality the thoughts inside myself. Slowly, without the distractions of other companions and the need to mold and modify my ideas in their company, I came to know my own mind and the kind of purpose I might find in my work. ~ Pamela Sargent

Gather the rose of love whilst yet is time. ~ Edmund Spenser

'Kane and Abel' is the best popular fiction of all time. As a kid, I wanted to be prime minister when I read 'First Among Equals.' ~ Louise Mensch

Great. There was no scenario in this whole damn thing where Jack didn't come off looking as awesome as the love child of Thor and Optimus Prime. ~ Brodi Ashton

In our researches on the likely economic apocalypse it's become clear what is the prime survival tool for hard times: friends. Good friends. Lots of them. ~ Stewart Brand

In Pierre Trudeau, Canada has finally produced a Prime Minister worthy of assassination. ~ John Diefenbaker

Nothing you've been through has been wasted. I know at times you feel you've wasted time, moments, and years over what you can't regain again - a job, a marriage, a relationship, your health, the sacrifices, your time and service, and giving up something you love for God, that broke your heart. You sit back and wonder, "Will I ever be happy again? Was everything I've been through worth the pain, the tears, the sleepless nights, the embarrassment." The Lord is saying, "It's just preparation." Where you are now is no accident.


What has happened to you didn't take God by surprise. He already initiated a plan of escape before you were formed; mistakes, setbacks, disappointments, things outside your control.. The plan was already made! I don't know your story but only you and God know your story. He took you from bad company, He took you from suicide, He took you when you were at your lowest, He took you when nobody wanted you, He took you when your money was low, Why? Because He saw potential in you!

As God as my witness it gets lonely at times. Life can be fearful when you don't know what to expect. When you feel everything has been stripped away...When you feel there's no hope... When you wonder how much longer do I have to wait. Who wants to feel rejection or disappointments.. But it's in those moments when we experience the faithfulness of God!

I want to encourage whoever I'm speaking to, to hold on! Before Joseph became Prime Minist ~ Susan Samaroo

Right now with blogs and the flood of internet access, a multitude of aspiring writers think they're ready for prime time. They're not. Be great. Read. Write. Bust your ass. Learn and find your voice. As hard as you think it is, it's a hundred times harder. ~ Steven Pressfield

The election of Shinzo Abe as the leader of Japan's ruling Liberal Democratic party and now prime minister will have profound repercussions for Japan and East Asia. Most western commentary during the premiership of Junichiro Koizumi has been concerned with the extent to which Japan has allowed a freer rein to market forces. ~ Martin Jacques

In time, after a dozen years of centering their lives around the games boys play with one another, the boys' bodies change and that changes everything else. But the memories are not erased of that safest time in the lives of men, when their prime concern was playing games with guys who just wanted to be their friendly competitors. Life never again gets so simple. ~ Frank Pittman

Of course I'd have loved to be Prime Minister. But I'm not nursing a grievance. ~ Kenneth Clarke

His mind was completely occupied with the image of Aline by the river, the rich mass of her pinned-up hair, the exquisite lines of her body and throat.
Time had only made Aline's beauty more eloquent. Her body was ripe and fully developed, the form of a woman in her prime. With maturity, her face had become more delicately sculpted, the nose thinner, the lips faded from deep rose to the pale shade of pink that tinted the inside of a seashell. And there was that damned, never-forgotten beauty mark, the festive dark fleck that lured his attention to the tender corner of her mouth. ~ Lisa Kleypas

The prime minister of Israel is welcome to speak in the United States, obviously. But we don't want to see this turned into some great political football ~ Benjamin Netanyahu

I serve at the discretion of the prime minister. ~ George Osborne

One reason Elvis mattered, she said, was that in his prime, pop music had still been politically innocent, therefore deeply life-affirming, therefore relevant. By the time he died, most pop songs had become, usually without the conscious intention of those who wrote and sang them, anthems endorsing the values of fascism, which remains the case to this day. ~ Dean Koontz

The kind of acting I used to enjoy no longer exists because your prime consideration is the budget, running time, the cost - and whether they'll understand it in Milwaukee. ~ Dirk Bogarde

Let your life continuously unfold & evolve your thought process, awareness & perceptions so that you can enjoy deeper understanding of the universe, your trueself & your aspects of life. Let each moment serve you suffiently & remind you of who you really are, your abilities & your divine purpose. Let everyday & every moment your life be a journy from unconsciousness to higher consciousness. Let you remain committed to aristocracy, goodness, kindness, to be a non-judgemental personality & to be the best version of yourself. Let prime objective of your life be to positive influence & affect the energy & feelings of your world in every moment. Let you be so much more than what you think you are & gain more & more opportunities to tune your body, mind & spirit to sustain your existence & remain fulfilled. Let your each choice, resolve, deliberation & action bring forth the joy, peace, aliveness & success you so deeply long for. Stay Sincere, Open, Affirmative & Blessed! ~ Rajesh Goyal

I noticed - and this is one of the people don't understand of Tony [Abbot] - he grew. To me he grew as opposition leader. He come in - he wasn't really good at the beginning when he was opposition leader. He won the confidence of the Australian people and got the job as Prime Minister. He grew in Indigenous affairs. To me, we just totally disagreed in it, but now we're very much one on one on it. ~ Warren Mundine

The main reason why historians have skated over the relationship of Victorian PMs with the press is that they haven't been looking for it. It takes a lecturer in media studies such as Paul Brighton to point out that media management was part of the job of a Victorian prime minister. ~ Jane Ridley

Practice "zero-based thinking" in every part of your life. Ask yourself continually, "If I were not doing this already, knowing what I now know, would I start doing it again today?" If it is something you would not start again today, knowing what you now know, it is a prime candidate for abandonment or creative procrastination. ~ Brian Tracy