factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004813477965 5,672 digits created 2023-10-24

Value

77032855690831520329903165912114493091965764801415331999539919917407849213847722121100578843982035036742463477004453812974882417720397453394552751299357456173608340161686979049762193833072573309146810175007644895073730925723690702402294201751580974339789654069374671778782342436810942979674482007610182807745248914015714093060596941105594521462104949926621878067113217905132513831385627484124939914490131712005977750547724225556091784597949059115281471886408680244462953071365006641066126090906094275459810424050822569877214999304671878522012245304736676949221626733942797193395252923167291581622155758047481931743983080503655534160791460660776956061359090098249732324056470389958885733895998904055034102935884676739330871351369319075409463633580613257573380800032092720211481072737612088465578840706862212454623222265938281642237329917012594882826606654868518411884783577999588093240720771918492294696498544714721571914133062365055777393721266770567343716070776705409695834601463872448596270500163663112249364870038148266660589369071575032595143947727918402074871565361015291520964439053987204767526075644724378389867814034760450345133158992002150744641437482591715739000912940111232611006599492333678636319168317002152436394361014893968798600480241604728015756748182629112698274732069818470220620239760768384654322884534074295139924357721093820755527011442039779895295053972496617010984057079726259105986701854957893006227166110786979602059003502897262880719437741124777435655923260467410922382586053622947374924522841080939564780135811060397535496273241762362725212238769862761883400356113074873443107955929515302625110972826018295412504214121519677984805181176519084331673793097919812320102146259193398948915409713132706546824164055029662457972493206009952417784451809592205935654173237965885514363402177356244143320842493714326986690743923135793947992662916072570598462989547763791938461771908495069684010998045532564090152215214157253015524354779066104066820293034856653601137893354151655542051717849455398752940147170180815318832123514687102045399000209882198914483269792189966610208393186829018407762527573301949353400331435749277697637774784200348513473906889307987381808335009589709099361614704513689349838727137878297810997740575451286838753200969580586684718736619666601892996436001736101276702827292799317352353429091219873497763411628758091556379365413698996434065601407037706149457507677443308867696009764908850503033285293199817000808623801891582780677900596540092658753850727514880443978660594436847102997832624194822065932604689934397211408514908684272394997856418697661382177793595310758052452621484315796356435535557547898347402891820224022169429973015505006696332827470537623900280194943849994006079974276412665977845945039829254136001272062913262096654419596212374143545966508448284208660183976940617428512694086683337829101183001733143018701213525655029925656931696264847202645450586695019985623223735827022389051224884993649859351189395769127863574894467875619370364396572749102567292212017369072872978169763200582236082292913418150419812487132423482697291589364687066892616508332662831669291934910207305273080122927041615351183036058995765275590129157612468475037672536663180135876979265901278588101264127912711757985904971460810071034131072690666286192101662149754464841454291788572966863114265411051394428870680455595265742540282145501860738458887818100110595293136254634364889771192221033371996334193576748565760439111326805818203306006400986077080592106506921120550896134552175280509574449922991569426544744654442774391842796002966396217430746402751975629622020854595927632827615508266886106653149447191700064239253612697288887092430176734194708300625687138228039440991769080951324254382089882500907543135232728635966548858827150678221324879835045512533354682580756006178964558670972759584824167324551541474344870116465337586049239701631867615595370937766643548843839288984056655152723485199428173242814330612168695539126405149103280928031643070987296338489899184983257286084370318331886618900925346123681197607129612249751166137631890333234195226034003992692190353639115751074531121841868969927915573639577688121309865230402163719906474314629247596047100703158162342435434155768856707660401400538995701687315432912030802711162749632309877634211977394901412909814931195429011942494659971186746525460489899795356807976399781435758353185137443979380092276168263492036371698518482983104452193959288227436399495819203585587093304495315688939284001296900894528963017727412553529400458207393101555079476313210277206987023065841276032027698571397621424752302788159084724604173942899820995244153293683238580335107901729669891705369665524353703984393169859317984729274524222210669394497330009537342723165946294608413586647170769996283287094131379038548826724863430400356668154043280550302896908706103982251317192195385050696216569237388767536570907507421957839053846452373607782741457051289462867435240076522482538868236503837168592740923417440453440246113530385810934501626313984196652547193536354330292220572935496023657593797184187493949081539239928276410189636921142527489673568781590643415479516275627226624113621904668177730884924617514770426141569215977055834376092423425066005151714013399734325819921646378210205639082307522854884333258114946542055764638487726137800018623733665141989058991134895503808330511311175363660627045115085998905743381620951065939033187662293610058262445830745930101604209417352239960874265813997092635293520733411127348756814174534870448071109482371002831295630336208727478489618413694705632029116689250841931972730574132502421258604369604708697582350941465012450484133641026659755187911178931378879264147074901140051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 56 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813477965 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004813477965},"decimal":true,"detail":2}}'