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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 #1100000005813184950 3,169 digits created 2024-01-27

Value

3364759657842475921734652028198470537025253478928829424266115186430120628417621480259003392746205190960456327884351440691631251280980186445246486643443178252173325885438661942590477983319631266889963046048175189019383732886085206688313945628753797234674150706744690794334383780707984736129656843390635595531200978044352897968239699097898808450139884440375736845202118171759613130888260016147770957728450247660162698099378018139551381916391174101054028204587293553180324500580057194360708130136458917327751053945842516007570173692711111943805712550996895371256445664226332760991064103514239909313606535978151408625393684232674176451129643899138328076623334546093679354696776764137168882681528719063383385992332714586338575208280715851068691345029930654734232699270723404263948674093642236542683704961762759810149703121897870335160319699678317499784156791555925450826929671506272667856669358641838059686393126798337816756754542761082129934498714562480832559310027299417755703100864858394045194729849550118471544820355592862956219493745781335530350787506757107455680288943004248502940417183840386400260528339027559292832594586366941098865774282269150514900060905395089829866534680374849777744764975388126240103652388472077366928129211526656034263354304590171044537795990179246835546198203898519876821854489849930295116113275722947255399348289438575281651508241604794145145733735409817370511747567907146235942923654342822283355867770410077636307957829338625620794935622383960769824074002142184348966304321045582263877555513298601612687133428529221615423882347873187680398622145860863148984140897274243190529713733726235799838902008514560842619207763340700281804167283576804986929153198714713827138812978934748408549366848386944566614074027793325281522652302326848389152283264535047869140965426281969418923962166411116782408884491207349939382738995416803208466062246023847498572463819434265707888474694999376311665098175585970762076807875569872490333105808560298975929370384042629586869440704348146008855902402859338519780056536930563678097158639200598640840137359163584449895612699594502061857301569230436489130276250452605526492508505388929745619544201332599711013241578148141190258513597725949003735630803633555490246673020743258875417236013443344291902847159733882582266368546618875633269649124452058414237642755252050275696231294588358651811038295017108850677837140640996637531169067081665085478050042667035548302036796601735551814980353821434352588886587967188190015441070763215516009070341603771512847328248624239263115589095440740303247754046989728868246495091580190741455422476427103054648450141743838139589246100177071950744957581810268947127436485628064099377209320163424052997116671910937286376972714223264384794409707346614958020085602174317015418402780776344260500351564125731516940638481026484950929135033614679290587708586699875522223941841831590709164602692298035204362731421319983897264027719289309289005650190360898617979827849650875152414735703530482759109903047082751190966440947076460045886662404276281615324007194035969338792535746905891453035230331188259019883184439925845297213976768575452433347075653338617405102024852114417362191885601559481648131
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,553-digit prime (182 intermediate primes).

Certified number3,553-digit prime
Certificatedownload
Certificate chainshow step 24 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813184950 --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":1100000005813184950},"decimal":true,"detail":2}}'