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Chris Sullo | handled approved new vulnerabilities added database well manages web checks.addition chris cofounder treasurer open security foundation.nikto sullo author nikto leading open source web security assessment tool.open source web server scanner.nikto known perform comprehensive tests web servers multiple items including th... |
Chris Sullo | nikto voted top security tool fyodors top security tools survey.rvasec cofounder rvasec security conference held richmond virginia usa.security advisories sullo long involved world electronic crime security.also published security advisories.one noteworthy advisories advisory verity ultraseek search engine used dozens ... |
Logjam (computer security) | references external links interview chris sullo cgisecurity.comdiscovered team computer scientists publicly reported may .discoverers able demonstrate attack bit us exportgrade dh systems.estimated state level attacker could bit systems widely used thereby allowing decryption significant fraction internet traffic.recom... |
Logjam (computer security) | authors took advantage fact number field sieve algorithm generally effective method finding discrete logarithms consists four large computational steps first three depend order group g specific number whose finite log desired.results first three steps precomputed saved used solve discrete log problem prime group relati... |
Logjam (computer security) | authors needed several thousand cpu cores week precompute data single bit prime.done however individual logarithms could solved minute using two core intel xeon cpus.cve id cve.the authors also estimated feasibility attack bit diffie–hellman primes.design many diffie–hellman implementations use pregenerated prime field... |
Logjam (computer security) | researchers calculated cost creating logjam precomputation one bit prime hundreds millions usd noted well within range fy .billion u.s. consolidated cryptologic program includes nsa.reuse primes generating precomputation one prime would break twothirds vpns quarter ssh servers globally.researchers noted attack fits cla... |
Security awareness | claims practical implications attack however disputed security researchers eyal ronen adi shamir paper critical review imperfect forward secrecy.test tools tlsbased services web servers offering https checked vulnerability using scanners sslyze qualys ssl server test immuniweb ssl security test ssltrust cryptcheck cyph... |
ESOFT Metro Campus | specifically measured understanding circumventing security protocols disrupting intended functions systems collecting valuable information getting caught p. .researchers created method could distinguish experts novices people organize different security scenarios groups.experts organize scenarios based centralized secu... |
ESOFT Metro Campus | programmes programmes taught esoft metro campus organised five schools divisions.school computing school business school engineering technology school hospitality management language academy.school computing degree programmes available esoft school computing include bachelors information technology bit awarded universi... |
ESOFT Metro Campus | awarded kingston university london.school hospitality management esoft school hospitality management offers professional qualifications btec hnds travel tourism management hospitality management awarded edexcel.language academy language academy offers pearson assured courses academic professional english.recognition al... |
ESOFT Metro Campus | esoft also produced several prize winners high achievers past years bcs bit programmes university moratuwa signed memorandum understanding esoft appointing collaborative partner offering bachelor information technology bit external degree.appointment made extensive evaluation process esoft one three partners appointed.... |
ESOFT Metro Campus | first degree introduced bachelor information technology honours degree.bachelor business management honours degree approved first intake scheduled february.partnerships affiliations esoft appointed accredited course provider bcs heq professional examinations uk.especially noteworthy since esoft organisation accredited ... |
ESOFT Metro Campus | esoft partnered thesmartbridge singapore offer projectbased training undergraduate students it.‘smart internz’ global platform academia corporate giving complete training transforming knowledge work experience via guided projects externship programmes.csr activities esoft involved several corporate social responsibilit... |
ESOFT Metro Campus | project continued year well.lab consists minimum modern networked pcs along laser printer.tables chairs carpeting also provided complete cost borne esoft.sirasa tv provides coverage via media network.two computer labs opened president sri lanka hon mohomed munshid. |
ESOFT Metro Campus | ethilina project concluded successful run years computer labs donated public schools around country.esoft also partnered ranaviru seva authority state ministry defence ministry defence offer scholarships savings course fees members armed forces families.special loyalty card known virusara privilege launched president m... |
ESOFT Metro Campus | awarded gold bcs best centre large scale sector bcs academy awards.national business excellence award education services merit award.national business excellence award education services runnersup.awarded gold partner pearson remarkable growth student numbers revenue.awarded gold bcs best centre large scale sector bcs ... |
ESOFT Metro Campus | awarded platinum partner pearson high growth student numbers revenue market leader.awarded year .awarded platinum partner pearson second year running exceptional performance market leader.awarded year .awarded platinum partner pearson third year running. |
List of data breaches | awarded degree awarding powers recognition nonstate higher education institution ministry education sri lanka.awarded platinum partner pearson fourth consecutive year chairman dr dayan rajapakse received national provincial gold awards entrepreneur year organised federation chambers commerce sri lanka admitted member a... |
List of data breaches | result data breaches estimated first half alone .billion records exposed.collection .billion identity records consisting million unique email addresses million unique passwords posted web sale.references sources |
Web literacy | described content activity – i.e.web users learn web also make website.history concept latter part literacy researchers started explore differences printed text networkenabled devices screens.research largely focused two areas credibility information found world wide web difference hypertext makes reading writing.skill... |
Web literacy | paper became pillars information literacy last updated .web literacy map mozilla foundation nonprofit organization promotes openness innovation participation internet.created web literacy map consultation community stakeholders formal informal education well industry.web literacy described skills competencies needed re... |
Web literacy | version .launched mozilla festival later year.going forward standard seen problematic ethos mozilla community trying achieve.literacy version .web literacy map released early underpins mozilla foundations webmaker resources section learners mentors find activities help teach related areas.although web literacy map list... |
Noodle | web literacy map end march .involves small changes competencies layer comprehensive review skills contain.exploring navigating webnavigation using software tools browse webweb mechanics understanding web ecosystemsearch locating information people resources via webcredibility critically evaluating information found web... |
Noodle | etymology word derived th century german word nudel.history origin earliest written record noodles found book dated eastern han period – ce.noodles made wheat dough became prominent food people han dynasty.oldest evidence noodles years ago china.team archaeologists reported finding earthenware bowl contained yearold no... |
Noodle | noodles said resemble lamian type chinese noodle.analyzing husk phytoliths starch grains present sediment associated noodles identified millet belonging panicum miliaceum setaria italica.however researchers cast doubt lajias noodles made specifically millet difficult make pure millet noodles unclear whether analyzed re... |
Noodle | ramen noodles based southern chinese noodle dishes guangzhou named northern chinese lamian became common japan .central asia kesme erishte noodles eaten turkic peoples th century.west asia ash reshteh noodles thick soup herbs one popular dishes middle eastern countries iran brought turcomongol.europe st century bce hor... |
Noodle | italy first concrete information pasta products italy dates th th centuries.pasta taken variety shapes often based regional specializations.germany area would become germany documents dating mention spätzle.medieval illustrations believed place noodle even earlier date.ancient israel diaspora latinized word itrium refe... |
Noodle | arabs adapted noodles long journeys fifth century first written record dry pasta.muhammad alidrisi wrote itriyya manufactured exported norman sicily.itriya also known persian jews early persian rule spoke aramaic islamic rule.referred small soup noodle greek origin prepared twisting bits kneaded dough shape resembling ... |
Noodle | types primary ingredient types dishes baked noodles boiled drained noodles combined ingredients baked.common examples include many casseroles.basic noodles cooked water broth drained.foods added noodles added foods see fried noodles noodles served plain dipping sauce oil added table.general noodles soft absorb flavors.... |
HTTPS | typical examples include chow mein lo mein mie goreng hokkien mee varieties pancit yakisoba curry noodles pad thai.noodle soup noodles served broth.examples phở beef noodle soup chicken noodle soup ramen laksa saimin batchoy.preservation instant noodlesfrozen noodles see also references bibliography external links dict... |
HTTPS | historically expensive operation meant fully authenticated https connections usually found secured payment transaction services secured corporate information systems world wide web.campaign electronic frontier foundation support web browser developers led protocol becoming prevalent.https used often web users original ... |
HTTPS | ssltls especially suited http since provide protection even one side communication authenticated.case http transactions internet typically server authenticated client examining servers certificate.https creates secure channel insecure network.ensures reasonable protection eavesdroppers maninthemiddle attacks provided a... |
HTTPS | practice means even correctly configured web server eavesdroppers infer ip address port number web server sometimes even domain name e.g.rest url user communicating along amount data transferred duration communication though content communication.web browsers know trust https websites based certificate authorities come... |
HTTPS | insecure networks public wifi access points allow anyone local network packetsniff discover sensitive information protected https.additionally freetouse paid wlan networks observed tampering webpages engaging packet injection order serve ads websites.practice exploited maliciously many ways injecting malware onto webpa... |
HTTPS | usage websites april .alexa top websites use https default .internets popular websites secure implementation https page loads measured firefox telemetry use https.browser integration browsers display warning receive invalid certificate.older browsers connecting site invalid certificate would present user dialog box ask... |
HTTPS | newer browsers display warning across entire window.newer browsers also prominently display sites security information address bar.extended validation certificates show legal entity certificate information.browsers also display warning user visiting site contains mixture encrypted unencrypted content.additionally many ... |
HTTPS | security security https underlying tls typically uses longterm public private keys generate shortterm session key used encrypt data flow client server.x. certificates used authenticate server sometimes client well.consequence certificate authorities public key certificates necessary verify relation certificate owner we... |
HTTPS | web servers provide forward secrecy.for https effective site must completely hosted https.sites contents loaded http scripts images example certain page contains sensitive information login page loaded https rest site loaded plain http user vulnerable attacks surveillance.additionally cookies site served https must sec... |
HTTPS | https designed withstand attacks considered secure exception https implementations use deprecated versions ssl.network layers http operates highest layer tcpip model—the application layer tls security protocol operating lower sublayer layer encrypts http message prior transmission decrypts message upon arrival.strictly... |
HTTPS | certificate must signed trusted certificate authority web browser accept without warning.authority certifies certificate holder operator web server presents it.web browsers generally distributed list signing certificates major certificate authorities verify certificates signed them.acquiring certificates number commerc... |
HTTPS | majority web hosts cloud providers leverage lets encrypt providing free certificates customers.use access control system also used client authentication order limit access web server authorized users.site administrator typically creates certificate user user loads browser.normally certificate contains name email addres... |
HTTPS | possessing one longterm asymmetric secret keys used establish https session make easier derive shortterm session key decrypt conversation even later time.diffie–hellman key exchange dhe elliptic curve diffie–hellman key exchange ecdhe schemes known property.firefox opera chromium browser sessions used nearly apples saf... |
HTTPS | february .web servers surveyed support form forward secrecy .use forward secrecy browsers.certificate revocation certificate may revoked expires example secrecy private key compromised.newer versions popular browsers firefox opera internet explorer windows vista implement online certificate status protocol ocsp verify ... |
HTTPS | browser sends certificates serial number certificate authority delegate via ocsp online certificate status protocol authority responds telling browser whether certificate still valid not.ca may also issue crl tell people certificates revoked.crls longer required cabrowser forum nevertheless still widely used cas.revoca... |
HTTPS | simple mode authentication performed server.mutual version requires user install personal client certificate web browser user authentication.either case level protection depends correctness implementation software cryptographic algorithms use.ssltls prevent indexing site web crawler cases uri encrypted resource inferre... |
HTTPS | solution called server name indication sni exists sends hostname server encrypting connection although many old browsers support extension.support sni available since firefox opera apple safari .google chrome internet explorer windows vista.from architectural point viewan ssltls connection managed first front machine i... |
HTTPS | situations encryption propagated along chained servers session timeout management becomes extremely tricky implement.security maximal mutual ssltls clientside way properly end ssltls connection disconnect user except waiting server session expire closing related client applications.a sophisticated type maninthemiddle a... |
HTTPS | traffic analysis possible ssltls encryption changes contents traffic minimal impact size timing traffic.may research paper researchers microsoft research indiana university discovered detailed sensitive user data inferred side channels packet sizes.researchers found despite https protection several highprofile topofthe... |
HTTPS | history netscape communications created https netscape navigator web browser.originally https used ssl protocol.ssl evolved transport layer security tls https formally specified rfc may .google announced february chrome browser would mark http sites secure july .move encourage website owners implement https effort make... |
Prime number | see also bullrun decryption program – secret antiencryption program run us national security agencycomputer securityhstsopportunistic encryptionstunnel references external links rfc http tlsrfc transport layer security protocol .rfc secure sockets layer ssl protocol version .how https works ...in comicis tls fast yetna... |
Prime number | particularly fast methods available numbers special forms mersenne numbers.december largest known prime number mersenne prime decimal digits.there infinitely many primes demonstrated euclid around bc.known simple formula separates prime numbers composite numbers.however distribution primes within natural numbers large ... |
Prime number | include goldbachs conjecture every even integer greater expressed sum two primes twin prime conjecture infinitely many pairs primes one even number them.questions spurred development various branches number theory focusing analytic algebraic aspects numbers.primes used several routines information technology publickey ... |
Prime number | called prime number prime greater cannot written product two smaller natural numbers.numbers greater prime called composite numbers.words n displaystyle n prime n displaystyle n items cannot divided smaller equalsize groups one item possible arrange n displaystyle n dots rectangular grid one dot wide one dot high.for e... |
Prime number | divisor cannot prime.idea leads different equivalent definition primes numbers exactly two positive divisors number itself.yet another way express thing number n displaystyle n prime greater one none numbers … n − displaystyle dots n divides n displaystyle n evenly.the first prime numbers prime numbers less sequence oe... |
Prime number | however earliest surviving records explicit study prime numbers come ancient greek mathematics.euclids elements c. bc proves infinitude primes fundamental theorem arithmetic shows construct perfect number mersenne prime.another greek invention sieve eratosthenes still used construct lists primes.around ad islamic mathe... |
Prime number | fibonacci brought innovations islamic mathematics back europe.book liber abaci first describe trial division testing primality using divisors square root.in pierre de fermat stated without proof fermats little theorem later proved leibniz euler.fermat also investigated primality fermat numbers n displaystyle n marin me... |
Prime number | introduced methods mathematical analysis area proofs infinitude primes divergence sum reciprocals primes ⋯ displaystyle tfrac tfrac tfrac tfrac tfrac cdots .at start th century legendre gauss conjectured x displaystyle x tends infinity number primes x displaystyle x asymptotic x log x displaystyle xlog x log x disp... |
Prime number | methods restricted specific number forms include pépins test fermat numbers proths theorem c. lucas–lehmer primality test originated generalized lucas primality test.since largest known primes found using tests computers.search ever larger primes generated interest outside mathematical circles great internet mersenne p... |
Prime number | mathematicians time also considered prime numbers subdivision odd numbers also consider prime.however euclid majority greek mathematicians considered prime.medieval islamic mathematicians largely followed greeks viewing number.by middle ages renaissance mathematicians began treating number included first prime number.m... |
Prime number | example fundamental theorem arithmetic would need rephrased terms factorizations primes greater every number would multiple factorizations different numbers copies .similarly sieve eratosthenes would work correctly handled prime would eliminate multiples numbers output single number .technical properties prime numbers ... |
Prime number | example ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ .displaystyle beginalignedcdot cdot cdot cdot cdot cdot cdot .endaligned terms product called prime factors.prime factor may occur example two copies prime factor .displaystyle .prime occurs multiple times exponentiation used group together multiple copies prime number example second way writing p... |
Prime number | displaystyle .central importance prime numbers number theory mathematics general stems fundamental theorem arithmetic.theorem states every integer larger written product one primes.stronglythis product unique sense two prime factorizations number numbers copies primesalthough ordering may differ.although many different... |
Prime number | primes thus considered basic building blocks natural numbers.some proofs uniqueness prime factorizations based euclids lemma p displaystyle p prime number p displaystyle p divides product b displaystyle ab integers displaystyle b displaystyle b p displaystyle p divides displaystyle p displaystyle p divides b displaysty... |
Prime number | many proofs infinitude primes known including analytical proof euler goldbachs proof based fermat numbers furstenbergs proof using general topology kummers elegant proof.euclids proof shows every finite list primes incomplete.key idea multiply together primes given list add .displaystyle .list consists primes p p … p n... |
Prime number | fundamental theorem n displaystyle n prime factorization n p ′ ⋅ p ′ ⋯ p ′ displaystyle npcdot pcdots pm one prime factors.n displaystyle n evenly divisible factors n displaystyle n remainder one divided prime numbers given list none prime factors n displaystyle n given list.finite list primes must infinitely many prim... |
Prime number | example nonconstant polynomial even several variables takes prime values.however numerous expressions encode primes primes.one possible formula based wilsons theorem generates number many times primes exactly once.also set diophantine equations nine variables one parameter following property parameter prime resulting s... |
Prime number | assert real constants displaystyle μ displaystyle mu ⌊ n ⌋ ⌊ ⋯ μ ⌋ displaystyle leftlfloor anrightrfloor text leftlfloor cdots mu rightrfloor prime natural number n displaystyle n first formula number exponents second formula.⌊ ⋅ ⌋ displaystyle lfloor cdot rfloor represents floor function largest integer less equal num... |
Prime number | often elementary formulation many conjectures withstood proof decades four landaus problems still unsolved.one goldbachs conjecture asserts every even integer n displaystyle n greater written sum two primes.conjecture verified numbers n ⋅ .displaystyle ncdot .weaker statements proven example vinogradovs theorem says ev... |
Prime number | chens theorem says every sufficiently large even number expressed sum prime semiprime product two primes.also even integer greater written sum six primes.branch number theory studying questions called additive number theory.another type problem concerns prime gaps differences consecutive primes.the existence arbitraril... |
Prime number | displaystyle .conjectured infinitely many twin primes pairs primes difference twin prime conjecture.polignacs conjecture states generally every positive integer k displaystyle k infinitely many pairs consecutive primes differ k .displaystyle k. andricas conjecture brocards conjecture legendres conjecture oppermanns con... |
Prime number | infinitude density subject first hardy–littlewood conjecture motivated heuristic prime numbers behave similarly random sequence numbers density given prime number theorem.analytic properties analytic number theory studies number theory lens continuous functions limits infinite series related mathematics infinite infini... |
Prime number | analytical proof euclids theorem eulers proof infinitely many primes considers sums reciprocals primes ⋯ p .displaystyle frac frac frac frac cdots frac p. euler showed arbitrary real number x displaystyle x exists prime p displaystyle p sum bigger x displaystyle x .shows infinitely many primes finitely many primes sum ... |
Prime number | bruns theorem states sum reciprocals twin primes ⋯ displaystyle leftfrac frac rightleftfrac frac rightleftfrac frac rightcdots finite.bruns theorem possible use eulers method solve twin prime conjecture exist infinitely many twin primes.number primes given bound primecounting function π n displaystyle pi n defined numb... |
Prime number | prime number theorem states π n displaystyle pi n asymptotic n log n displaystyle nlog n denoted π n ∼ n log n displaystyle pi nsim frac nlog n means ratio π n displaystyle pi n righthand fraction approaches n displaystyle n grows infinity.implies likelihood randomly chosen number less n displaystyle n prime approx... |
Prime number | arithmetic progression numbers remainder divided modulus example remainder .modulus remainder multiples every element sequence.therefore progression contains one prime number itself.general infinite progression q q q … displaystyle aaqaqaqdots one prime remainder displaystyle modulus q displaystyle q relatively prime.r... |
Prime number | prime values quadratic polynomials euler noted function n − n displaystyle nn yields prime numbers ≤ n ≤ displaystyle leq nleq although composite numbers appear among later values.search explanation phenomenon led deep algebraic number theory heegner numbers class number problem.hardylittlewood conjecture f predicts de... |
Prime number | zeta function riemann hypothesis one famous unsolved questions mathematics dating one millennium prize problems riemann hypothesis asks zeros riemann zeta function ζ displaystyle zeta located.this function analytic function complex numbers.complex numbers displaystyle real part greater one equals infinite sum integers ... |
Prime number | original proof prime number theorem based weak form hypothesis zeros real part equal although elementary proofs found.the primecounting function expressed riemanns explicit formula sum term comes one zeros zeta function main term sum logarithmic integral remaining terms cause sum fluctuate main term.in sense zeros cont... |
Prime number | instance prime number displaystyle modulus division displaystyle possible ≡ mod displaystyle equiv bmod clearing denominators multiplying sides displaystyle gives valid formula ≡ mod displaystyle equiv bmod .however composite modulus displaystyle division displaystyle impossible.valid solution ≡ x mod displaystyle equi... |
Prime number | padic numbers p displaystyle p adic order ν p n displaystyle nu pn integer n displaystyle n number copies p displaystyle p prime factorization n displaystyle n .concept extended integers rational numbers defining p displaystyle p adic order fraction n displaystyle mn ν p − ν p n displaystyle nu pmnu pn .p displaystyle ... |
Prime number | definition distance two numbers close together small distance difference divisible high power p displaystyle p .way real numbers formed rational numbers distances adding extra limiting values form complete field rational numbers p displaystyle p adic distance extended different complete field p displaystyle p adic numb... |
Prime number | localglobal principle allows certain problems rational numbers solved piecing together solutions places underlining importance primes number theory.prime elements rings commutative ring algebraic structure addition subtraction multiplication defined.integers ring prime numbers integers generalized rings two different w... |
Prime number | ring integers prime irreducible elements form set … − − − − − … .displaystyle dots dots .arbitrary ring prime elements irreducible.converse hold general hold unique factorization domains.the fundamental theorem arithmetic continues hold definition unique factorization domains.example domain gaussian integers z displays... |
Prime number | prime elements known gaussian primes.every number prime among integers remains prime gaussian integers instance number written product two gaussian primes displaystyle − displaystyle .rational primes prime elements integers congruent mod gaussian primes rational primes congruent mod not.consequence fermats theorem sums... |
Prime number | instance ring numbers b − displaystyle absqrt integers displaystyle b displaystyle b number displaystyle two factorizations ⋅ − − − displaystyle cdot sqrt sqrt neither four factors reduced unique factorization.order extend unique factorization larger class rings notion number replaced ideal subset elements ring contain... |
Prime number | concepts even assist numbertheoretic questions solely concerned integers.example prime ideals ring integers quadratic number fields used proving quadratic reciprocity statement concerns existence square roots modulo integer prime numbers.early attempts prove fermats last theorem led kummers introduction regular primes ... |
Prime number | particular number theorists british mathematician g. h. hardy prided work absolutely military significance.this vision purity number theory shattered publicly announced prime numbers could used basis creation publickey cryptography algorithms.these applications led significant study algorithms computing prime numbers p... |
Prime number | method divides n displaystyle n integer square root n displaystyle n .integer dividing n displaystyle n evenly establishes n displaystyle n composite otherwise prime.integers larger square root need checked whenever n ⋅ b displaystyle nacdot b one two factors displaystyle b displaystyle b less equal square root n displ... |
Prime number | sieves computers mathematical tables listing primes prime factorizations given limit commonly printed.oldest method generating list primes called sieve eratosthenes.animation shows optimized variant method.another asymptotically efficient sieving method problem sieve atkin.advanced mathematics sieve theory applies simi... |
Prime number | answers yes otherwise answers no.p displaystyle p really prime always answer yes p displaystyle p composite answers yes probability probability least .if test repeated n displaystyle n times numberthe probability composite number could pass test every time n displaystyle n .decreases exponentially number tests provides... |
Prime number | methods used generate large random prime numbers generating testing random numbers finding one primewhen faster probabilistic test quickly eliminate composite numbers guaranteedcorrect algorithm used verify remaining numbers prime.the following table lists tests.running time given terms n displaystyle n number tested p... |
Prime number | since december largest known prime always mersenne prime.it conjectured infinitely many mersenne primes.the following table gives largest known primes various types.primes found using distributed computing.great internet mersenne prime search project awarded us prize first discovering prime least million digits.electro... |
Prime number | significantly difficult primality testing although many factorization algorithms known slower fastest primality testing methods.trial division pollards rho algorithm used find small factors n displaystyle n elliptic curve factorization effective n displaystyle n factors moderate size.methods suitable arbitrary large nu... |
Prime number | however current technology run algorithm small numbers.october largest number factored quantum computer running shors algorithm .computational applications several publickey cryptography algorithms rsa diffie–hellman key exchange based large prime numbers bit primes common.rsa relies assumption much easier efficient pe... |
Prime number | instance original method carter wegman universal hashing based computing hash functions choosing random linear functions modulo large prime numbers.carter wegman generalized method k displaystyle k independent hashing using higherdegree polynomials modulo large primes.well hash function prime numbers used hash table si... |
Prime number | another checksum method adler uses arithmetic modulo largest prime number less displaystyle .prime numbers also used pseudorandom number generators including linear congruential generators mersenne twister.applications prime numbers central importance number theory also many applications areas within mathematics includ... |
Prime number | example prime field given field smallest subfield contains .either field rational numbers finite field prime number elements whence name.often second additional meaning intended using word prime namely object essentially uniquely decomposed prime components.example knot theory prime knot knot indecomposable sense canno... |
Prime number | prime decomposition manifolds another example type.beyond mathematics computing prime numbers potential connections quantum mechanics used metaphorically arts literature.also used evolutionary biology explain life cycles cicadas.constructible polygons polygon partitions fermat primes primes form f k k displaystyle fkk ... |
Prime number | regular n displaystyle n gon constructible using straightedge compass odd prime factors n displaystyle n distinct fermat primes.likewise regular n displaystyle n gon may constructed using straightedge compass angle trisector prime factors n displaystyle n number copies together possibly empty set distinct pierpont prim... |
Prime number | insects spend lives grubs underground.pupate emerge burrows years point fly breed die weeks most.biologists theorize primenumbered breeding cycle lengths evolved order prevent predators synchronizing cycles.in contrast multiyear periods flowering bamboo plants hypothesized smooth numbers small prime numbers factorizati... |
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