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 #1100000004817432849 4,897 digits created 2023-10-24

Value

3367886780632135083476315443477065623056201950715634561690515930759359342748316812432240955250992478667197406293270819707839922228992819066564297790697360066440887245118189243370368940236266366912326031981853121214708038822343746383193813125761153391046021270173061742743295764320481058130913880015457891527699368349956778132862432528029233685202590922635017827996551510999726753645318470416214889241796145585615707088256982717932631199660993346420775320045144659622551322368005237823538859809462388768511440812088294335684950694629122839515916635881771173919688267053090119371991822191447099420660936726812736604023758508591824745773995080837227024430137733674823859517929590062552208876201057752082617135472630382536968902069464803193090351396392685984027144384218743343430967203813397006726191500985842698668873194424168778828911653075333997950172767896436899921093932333128840326747436982855687535433624593339816668001283860594205284249696861821231959187063722131202469759999227042649154331861554233706358087332912711055623801095742288581703040091248363937237114560431305510579095637083896396980591985082713187978287449149292827687411674266478072864425078968782021477168145764083481501828871300304908358095525077903463095816486029460958443597682521259126667065624237968521761893006369810292237516249256585596482764766123169128695788031364925284699900351751840356122499625950989582929326293157135873390801088339683231713893501900552853285454705868436568491621983258849183430959705475977446464908556261483338448921994341126337428927279358154681688083200898213541365094647406581902722607474774856335120668084990292438560614841147683716900483338508451038188010979874379843688608242862625874854732478774706553035384908604389669028735082765136257981887044274920628486611407978718077116884384088890814396717138307840688059037284603875299483368784123233084362820380908034263757493667558105966149027003199461943887331716575015611379683855309395476977821911577719953660926779617547661202341883729016357422530877840779704365387329854930262956722773840265295539527367155240632300630121218851462324569504555633683921318822075452515569670922534091441695924315812025536454869885035352716594743569857964320230034792286996449178077636964749181536885192770830014233318163194447585124183979418156504396874004652969977242639969498783103408716214584256821290032745118082069987871878311119456901636478547327867639135073903943171602870280221901690892785178693304205934494823473893773726753370717129919296237778511178813304510117554995093203866192939912720533410876652766572948467470871421552449265685163274128952700368992678787431793027107430870175795945342378042280274864123573777290518513196294685414069042575812397750558483471485874518970906684350572855478470586747854783838982189611766890363840669593940804454826494226745890577253059328786698776223261722226208213051684645395898074920362446408879658707130857572439869333655189118662471229269970367630532433233883270116086187932849522053679408056184340664079318116107086862392546093952113845220287764865574468181469516537182770369129575754873995430526856134354261328035281355048979476767761406286093459730803659330271109733027312270924341756845897378676007254350167321827892819139727796707011958743472640364492210807405673862465020328188762265839136717397643829975420717933374385003818668437936991226617573658956798415208453123805767962403335081983680945963159645922571930455920816024599019331796118029600822326458264859577960991383146674856932245803614462220162291901050387288078833253000106759080008455983631734079372545818549071032865459988093768341435189707133308983289364047683584229462304820940491031100807871088161162341971322827532319944087871436431126496463179925545735365596517384510888580052310615920001034305558347400323789403263340508911588414201245356992630660054718883015574483661934883294575231754132540567729985558416461121903174764143325039164149993573623699839845740914012118362849189214700022054067602844363256684778866066783676651477114779905875103732586055709823226764867973126068766535266108101618652248968750153488501331301693640177839583888291023877287822948737836900902544495060541198587179182329892802291843059945156959241705740038147590777930990086799556319336005999728779719658604656749410302693889525863697260866696275977181108734991994173274973510064931287810521135014054555134722518342504153438283281456566612627686088237030119163689575088036303859823835638540474145865621826776586301368647158815109033038201308826670740705924473118221468970426967236717637728574532553922619040022012008640798504888859904907817705803914546148048685705548029509943408792157910672550434863250367672997687523233465081128195705704290547552250786732330554751339837502768345566161062941400617917660930956523279846272733073171412571410087462359778563983573817972314416812645699465658625341074937172112105685464202547393108870537267385576133613712938585957
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 5,211-digit prime (526 intermediate primes).

Certified number5,211-digit prime
Certificatedownload
Certificate chainshow step 30 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817432849 --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":1100000004817432849},"decimal":true,"detail":2}}'