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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 #1100000004825888420 4,065 digits created 2023-10-24

Value

209724991872549578779250226934894122420233010143290040865499611294426307325344434237808754983985725684699466152216892682656312404694660505897619170869683988848535288704071215256446224089930626579559910325451832889430092453929953788949945511577231886327413330689197131185544870177059564604834369607695926465093642687442304811373848944045284930817140416870490328368087749208489273968393798399402411356104911260654300783068255533058755519356784522424919426087423386652044915806041860544174081826536980890529918145030163356437570097798201240801404681487825514899210180981122207377634013701603173745708762953903024528630384595478811882626443530800800506699640727027912309032505913192381341343605822671138811022673131901099974756439094323961749336648410790068654353010152275073757005076056878294136271593246544054570078683542648542293001759988902688646595202032283290693485424617650899601331875855555759694880693153450949990510788785970302804566213113188559410316386540248573401166278533565020763851444558516826763826492409233131749936592225383917909067975195416992415280981364549888446829739170074892242595113988610113510497738267831003776259026441244094452325365494981698098210563290225449440987392748896806904167501941241161622890176596026387088585584043854020883407415098305311562464063119881916545225848506998842927286480745778069693555188201888211460552825217449262155843361091413432719772662939781269371886378238427892978032170882017647075624117854252973483393201870958744019154803621848850286455904683557589177234814444172223329103352217739233380631468796605442569521790265448945749927283109581386854080683076911457042612481252501623128790760166869000095975116495391752383903168993630305883526967170176594864200705521850394214037603110847031958510500919914833988816414461881602882459131444451668639650807285503494765963997335005358553542200073922312676272635433276443885737415024440923431897595444238107026236445014263944994547792385703124409948486145543560538369316484569653297154882476356294607080641942817592475059018490481923865239484519385754534402524175028400514423205460858727533154578758954991521139256280941308110416661421117205575462306747903464190639505469210002140447967193114588765857396795402982604813748220281773373596910682139077255361129584924916739828813687062474350457652090412695894374469552941190164931251909040113993465878767491018044555562768902429633340891515348135554139312121562543329617380413629148182934408179068796956678382391738836758903228689032006970365646211629731118244357202177676034280448647295346093539054034217581167210895043913783496741010802542436497179892331803835302840910825923070028060407077466048329438427971006965778400620878839080254306389328012342254121659808355625334861647516388439596180202944080009605330466059847870966298251656701863144842553707325139722587557559610430793689782281725550232467806231370296138218737587005650986991710871501614853086735432042424967637994596475972606594941480252515109384735505185301999735015264195121667067478587670205940433342586648388987515718848124831802704105212097920084052199097108987526571815907294435735442354379343921381278047447550731487477193892238180386492724835722514388198362854102436096015040075474311349261280497535238251628365720676708744362363353893090784075692536742423255176321669711828367847034434638788100471402106368306162345459564578361156429609992711506620816521465176559769106686094645554942458672063778540274611094844245268276522845772901949562035042404644555786368227937433788204155805366351721526541959665632814959199655651100918570412457572125624388183266849615176290141151433353992921085259579731323209847236306936460305203127348317127152962267434651882268678854522356017209967513203410847044779898836827757012251266298115021455669238193032523345762259880226763412321681330380993146863263473832558368057491448546847625977231112716863192442258100869462346257324499619687295644719525153554689088079325920425346306996606617498471184903398148043070506611496597314603219421691589671240066422765596568752584143094328016781769099127308588458536685434315349
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 23 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825888420 --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":1100000004825888420},"decimal":true,"detail":2}}'