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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 #1100000004828081679 3,601 digits created 2023-10-24

Value

1801411839308412967201854936326974130482916185051005636021090600933140381637674437666068731774024386178348508679764387647861106909045097666095061346976108117748234881288185794508474215575000496161367132881720544336124373085089640369401156593690762658810152302181893265030446225864123973583595330957994933342416782768243932832865039614418925702311621637168799498595785906844508256664867750024774383807982948892010667569319705447039680286060848026209488117662281749177962362867058193934674570800110400657020579886332089908855652309248258876797639121296177613983633402506533265999253430049232231309042136637397314103000052377095335019482842298250789746793181556303805811284610154631639528798069952686767736812840699626824170779649429831813564212450074915753674091660117516408873215162021506984802626472584646685326083249300609474119156130421442999247440177046554957387465831524479851932384511288163346501340307311325578631237776015746625962749795685541470785521970380854762015786203479793994169863150383054479710964868009887220816097500774269923991827240103193637735967766046680828163084910828121863168097902470700596868118664473694737417219639694567644707431541645517978754218908919229445219610291045373760060951740925326897434912035317897393854475436806852767864423635781175638750167643303207375052201655530195125099428374836856258103809070773969056603432159344069388079145307885653769174145060531142264714177187683421040471564094525373193933106025651438777551588936771925428625253377672010032768039186528232559146601720320710265001157412971213866562872909091324839281270485340462280075595994752445778306993597510811237874175074749926679331776801905097747368448747009559022566346588485145222032199407837114392958394631175334903901008765634288101175293151017804421211450726821964368047963379814930042822719760138293682594499648852138906320187238575342954130646971461182618283727715939912870173071362402286437379585540693947131687678725821404617749733836053576178140554886962925454446167932002872257156100725480688783891488011532622343282156533375527560915188318346844859355227408552407497970704400996603518304368265479129947716591552651402195988573522555752639374181556357291879149786654489075467799566096744743619452180741555109490359208872939158342122981991011918272523380106968808189646802498560186887741305514136728787354900223443573205958783741750870071714879793091981477356885812214837262921116533648224111827087386908433512898007297434968063777970698385576416962972045613743030927381982391210659122773950078821113024005308625397896520743346653650552503390142973649429178326868131109432411997299155963092786264549091889770829248115595557221459984072102693707197428648445689825587692604310070523761260903095994515284566848161296324603737777408835623500310432044082315847423465051876063072307794525389979499761143069654642005977382702587459494717805525995313825537582065830212553711305299244386757853274166849508832837230522605756183421043773441502103568553813075608972771949043435254728610106710500964061407186559345609887037187375770940743329767775480890866100167920850129583719303252159322738184110803463343054309232473315659693321047947701561502956084537174762489147808139932442211647715433130482172207308797007111129363488616180296526551523970671970148836772157738915010960121726728041648418635542383956510312106923371929652042626423488757731578959586820401710564008444286034485470817391385793702532533538016044897175093583069884472008912674990995956400956523311046768868655179613105142405729694441039185097950295880274769944827933674005688542296857460901373345390334192812915777858150518985647
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 53 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828081679 --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":1100000004828081679},"decimal":true,"detail":2}}'