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 #1100000004814012341 4,995 digits created 2023-10-24

Value

361857974741262407822686819501229026396271085474509003466047433182369456771966302003753337606041686991568575272053653264687687854301603637385247705894671757020754885881004560227659851896281646349414375729338381264848874722385641143367377029845324630701293807714073506114118252419723415364095817044845096379614157120941199253261677820650694823550159329508081971886369579783887999973003547639427403879367210412558427419512564619289226343675934200005781657579621085835353027574589354407992716308489233815277889142450991416379475299070495688146249622863435973521625383607929752648857765323962823999213731916123594641787936359658485141084062328448774583807059345938781192540496294521541484323476377736962994178170262805698219550100919693187018261742028332269129596430125283877654012799327536833370349514445620211677990263541614121813725544627679264975254770664390286208295956343072104295011662629377699945337023406304065303250056847632802449290347935420679745188390075687394972500568713691560369830208723282510685661752996891554172375819958618967275089019597394793042015983613623807572527721463660269496683849639681309163694225127180222776704556081118982393361533202368692469325449466540376607068578078546231573733914717193719780409729353791489021886836734834599472895297800763868741636239755182713672836755596750679292475251025300235390861323201747390747397334690634888365420595649187061770441472129242511135014034423801950010979675097152050055444010875964016696357995775677264960559143640545484184789278784797553658995385198003296117736772252362605682112961390088412743097933263424552440472365540597026855258052493001320858568400667208564768719061196324285457230711382948723019569519698894603182198142846463966306991377132129057383337557264846589566184495642781167382871393082531546640550077390681310849396104008325337210263237439938674865555484360316449962277862924588619955542068939123305672938483955854175451528502131894019813990482110166509278500019028496991266381075492947177885096781652893616753692311843846458835882347069323351147764841062467465712581829068030805426544877875818855668626024565842004752176557840538562897101912922704597696511929111839876837638842804677289123401450566251243075397669692187494652737958737305175780906710607584739585414391081554717730947165262603611097201295836429091030799077673082278471114414303790852129928861058854596712155497083214864340158112325775850572390488538181111964956446885579216813195964959520563646502005944889287112893380985569687428932844229373389020343732754798378224610826010001673636912295551884413012345179964494563405310948030703556417337998297620087731162718027002000163663892220676791601485813400077342940003229541430553542501025857668811010437376187952399744499526387723693863551925546076437123272491111649090256449596765203275911488203035444657231879356941419792233447293366826607389502796836948567337375597124496209908313540713367602856855692249364724294726627437805358979428491508754540968280555317720011484387128568447739209234851670275010074045788982793117028058871121103634974535417928424155534209353706022117493990240473393755871580803962838181688682345190825685137132379731809350715875460657948729275330287826193250175327874329389378345671838718378179208537436023816438852017101751168885225498183486108560732293964445374027425381593149977675655187084290463423447468586114562908465524307514292481683643752893849295233008961655793766986501027833189449461572560614819272141937394046252492209617543934135641925915607388758996780671853407682016831570790956739567075366196920866368227358209593975212121153226549246034718749795856990275733851031845027296195229082195722911947537852802385524262948348673898867461400414866397365930050365396584034329450074638164031571187633894446492850884430537201543708977924384928241453968068090547846410582271531531792886629488383519036030433755335291074335687984577148586050828007548310407855212451989104475367918542583678853266081403363766521656443252133038543319473825082475213988904339161967147123293084389522865816500014728225220160038357320422846731350429668508307661145492968224326357995317014337775124293078026764259062131622381160466909111958681505279922439705854960239298298376202048570188429625620246847791554965226534044960085669828179931346752827132381736133566013740391807195845385022284566043949233434808458841090871073437214069526419281692058631951557953551422814713877026876855158572161122341824767444518838932879225393204755455524803865581994164747459821846151863454590882313890779376312470726012910764246811679859548915264162312752837459402173728125763835751080106862877331509214083537560072213955937679179666355457105472369577752251382884554565155038077738212719940587252239519328400352644363886383279313787502586491101427357473930156106562088744978834738244895525368305948835161505289419897171618180504327480660696510959549550316134019240932392125630292069678744139427879088513975496613319441703123775955580011491247850362139074719331626079626026848062236359847884399380328778667
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 6,000-digit prime (540 intermediate primes).

Certified number6,000-digit prime
Certificatedownload
Certificate chainshow step 82 of 540

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814012341 --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":1100000004814012341},"decimal":true,"detail":2}}'