--- title: "Meaning & Key Takeaway of: Why add prime numbers? Prime numbers are…" description: "\"Why add prime numbers? Prime numbers are made to be multiplied, not added.\" — Lev Landau" image: "https://sms4smile.com/quotes/i/c4d/lev-landau-44045_add_why-add-prime-numbers-prime-numbers-are_2054779.jpg" --- # Why add prime numbers? Prime numbers are made to be… ![“Why add prime numbers? Prime numbers are made to be multiplied, not added.” quote by Lev Landau](https://sms4smile.com/quotes/i/c4d/lev-landau-44045_add_why-add-prime-numbers-prime-numbers-are_2054779.jpg) [Download](https://sms4smile.com/quotes/i/c4d/lev-landau-44045_add_why-add-prime-numbers-prime-numbers-are_2054779.jpg) [Open image](https://sms4smile.com/quotes/i/c4d/lev-landau-44045_add_why-add-prime-numbers-prime-numbers-are_2054779.jpg) > “Why add prime numbers? Prime numbers are made to be multiplied, not added.” [Lev Landau](https://sms4smile.com/quotes/author/lev-landau/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Prime numbers are fundamentally multiplicative, not additive. **In simple terms:** Primes belong to multiplication. Key Takeaway Focus on multiplicative properties of primes. Themes mathematics number theory structure Mood analytical inquisitive Type educational philosophical When to use this quote - cryptography - algorithm design - educational curricula Key Concepts multiplication prime utility Questions to Reflect On - How does multiplicative view affect cryptographic design? - Can additive properties of primes be leveraged in new algorithms? A Different Perspective Primes also appear in additive contexts like Goldbach’s conjecture. ★ ★ ★ ★ ★ No ratings yet [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Prime Number](https://sms4smile.com/quotes/about/prime-number/) [Prime numbers](https://sms4smile.com/quotes/about/prime-numbers/) ## Related quotes > [Although the prime numbers are rigidly determined, they somehow feel like experimental data.](https://sms4smile.com/quotes/timothy-gowers/although-the-prime-numbers-are-rigidly-determined-they-somehow-feel/) [Timothy Gowers](https://sms4smile.com/quotes/author/timothy-gowers/) > [Nature never uses prime numbers. But mathematicians do.](https://sms4smile.com/quotes/frank-drake/nature-never-uses-prime-numbers-but-mathematicians-do/) [Frank Drake](https://sms4smile.com/quotes/author/frank-drake/) > [The largest known prime number is 2^32582657-1. I am proud to say that I memorized all its digits-in binary.](https://sms4smile.com/quotes/carl-pomerance/the-largest-known-prime-number-is-2-32582657-1-i-am-proud-to-say-that/) Carl Pomerance > [It never happens that, when we go home and open the refrigerator, we see all infinitely many prime numbers there.](https://sms4smile.com/quotes/kato/it-never-happens-that-when-we-go-home-and-open-the-refrigerator-we/) [Kato](https://sms4smile.com/quotes/author/kato/) > [My work on prime gaps lead to lots of media coverage, some good, some bad, some ugly, and some merely ridiculous. For example, a…](https://sms4smile.com/quotes/daniel-goldston/my-work-on-prime-gaps-lead-to-lots-of-media-coverage-some-good-some/) Daniel Goldston > [The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers.](https://sms4smile.com/quotes/bill-gates/the-obvious-mathematical-breakthrough-would-be-development-of-an-easy/) [Bill Gates](https://sms4smile.com/quotes/author/bill-gates/) > [Twin primes: pairs of prime numbers that are close to each other, almost neighbors, but between them there is always an even number that…](https://sms4smile.com/quotes/paolo-giordano/twin-primes-pairs-of-prime-numbers-that-are-close-to-each-other/) [Paolo Giordano](https://sms4smile.com/quotes/author/paolo-giordano/) > [“I’m not sure what prime numbers have to do with anything,” I say in a gentle voice. “Prime numbers have to do with everything.…](https://sms4smile.com/quotes/julie-buxbaum/i-m-not-sure-what-prime-numbers-have-to-do-with-anything-i-say-in-a/) [Julie Buxbaum](https://sms4smile.com/quotes/author/julie-buxbaum/) > [If all sentient beings in the universe disappeared, there would remain a sense in which mathematical objects and theorems would continue to exist even…](https://sms4smile.com/quotes/martin-gardner/if-all-sentient-beings-in-the-universe-disappeared-there-would-remain/) [Martin Gardner](https://sms4smile.com/quotes/author/martin-gardner/) > [“All prime numbers are one more or less than a multiple of 6.”](https://sms4smile.com/quotes/matt-parker/all-prime-numbers-are-one-more-or-less-than-a-multiple-of-6/) [Matt Parker](https://sms4smile.com/quotes/author/matt-parker/) > [“An anonymous sponsor has put up the cash via an organization called the Electronic Frontier Foundation as a bounty on prime numbers: $100,000 for…](https://sms4smile.com/quotes/matt-parker/an-anonymous-sponsor-has-put-up-the-cash-via-an-organization-called/) [Matt Parker](https://sms4smile.com/quotes/author/matt-parker/) > [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?](https://sms4smile.com/quotes/william-of-ockham/3-is-a-prime-5-is-a-prime-and-7-is-a-prime-why-bother-with-non-prime/) [William of Ockham](https://sms4smile.com/quotes/author/william-of-ockham/) > [The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of…](https://sms4smile.com/quotes/carl-friedrich-gauss/the-problem-of-distinguishing-prime-numbers-from-composite-numbers/) [Carl Friedrich Gauss](https://sms4smile.com/quotes/author/carl-friedrich-gauss/) > [“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…](https://sms4smile.com/quotes/rick-riordan/i-ve-got-a-few-ideas-amy-admitted-but-i-don-t-know-where-we-re-going/) [Rick Riordan](https://sms4smile.com/quotes/author/rick-riordan/) > [I, Galileo, son of the late Vicenzo Galilei, swear that I never said that the prime numbers are useless. What I said was that…](https://sms4smile.com/quotes/galileo-galilei/i-galileo-son-of-the-late-vicenzo-galilei-swear-that-i-never-said/) [Galileo Galilei](https://sms4smile.com/quotes/author/galileo-galilei/) ## More by Lev Landau > [A method is more important than a discovery, since the right method will lead to new and even more important discoveries.](https://sms4smile.com/quotes/lev-landau/a-method-is-more-important-than-a-discovery-since-the-right-method/) [Lev Landau](https://sms4smile.com/quotes/author/lev-landau/) > [We mathematicans are all a bit crazy.](https://sms4smile.com/quotes/lev-landau/we-mathematicans-are-all-a-bit-crazy/) [Lev Landau](https://sms4smile.com/quotes/author/lev-landau/) > [Most important part of doing physics is the knowledge of approximation.](https://sms4smile.com/quotes/lev-landau/most-important-part-of-doing-physics-is-the-knowledge-of-approximation/) [Lev Landau](https://sms4smile.com/quotes/author/lev-landau/) > [Cosmologists are often in error, but never in doubt](https://sms4smile.com/quotes/lev-landau/cosmologists-are-often-in-error-but-never-in-doubt/) [Lev Landau](https://sms4smile.com/quotes/author/lev-landau/) > [Everybody has a capacity for a happy life. All these talks about how difficult times we live in, that's just a clever way to…](https://sms4smile.com/quotes/lev-landau/everybody-has-a-capacity-for-a-happy-life-all-these-talks-about-how/) [Lev Landau](https://sms4smile.com/quotes/author/lev-landau/) > [“Cosmologists are often in error but seldom in doubt.”](https://sms4smile.com/quotes/lev-landau/cosmologists-are-often-in-error-but-seldom-in-doubt/) [Lev Landau](https://sms4smile.com/quotes/author/lev-landau/) > [Money is in the exponent. 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The well-adapted drop off the…](https://sms4smile.com/quotes/elias-canetti/a-modern-man-has-nothing-to-add-to-modernism-if-only-because-he-has/) [Elias Canetti](https://sms4smile.com/quotes/author/elias-canetti/) > [Observation and theory get on best when they are mixed together, both helping one another in the pursuit of truth. It is a good…](https://sms4smile.com/quotes/arthur-eddington/observation-and-theory-get-on-best-when-they-are-mixed-together-both/) [Arthur Eddington](https://sms4smile.com/quotes/author/arthur-eddington/) > [I may add that we have more than once stated our willingness to conclude nonaggression pacts with the states neighboring our own!](https://sms4smile.com/quotes/adolf-hitler/i-may-add-that-we-have-more-than-once-stated-our-willingness-to/) [Adolf Hitler](https://sms4smile.com/quotes/author/adolf-hitler/) > [The American Constitution declares 'All men are born equal.' 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Once they get outside their own heads and their own communities and see themselves in a broader…](https://sms4smile.com/quotes/kathy-calvin/global-is-a-unifying-bond-for-people-once-they-get-outside-their-own/) [Kathy Calvin](https://sms4smile.com/quotes/author/kathy-calvin/) Browse all 2,710 Add quotes ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "Why add prime numbers? 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