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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 #1100000004870655372 2,266 digits created 2023-10-25

Value

3793918921983924246107138163143386967760089843675859289737180270814213578944765626160185735122559150806594083868577916000443504618802382906340252715957100448118590616238381405437567040137349162779260161412761229969028640138896740420944580110264624389375874966723706667518712555445025644047081363194353963131446040939302586513342816723103669620251999772018701025238562419559717468883483325551199536050251276554283517166835160043260510015529166164073108534065678868831819848361176335075920612833036754246395041113674873764058683247482461206540519885883224333994985671042889639278268986970866805482626520708579252952184814043134387237962947386898472012393478218376434978701588417545423493515159825760116393327169176356412265296027937609769857706616528884822888213605978798481463893910248823764492186359612230388073178023866783592212361287681958339045374301466315652762217390389066207929051821656165193846561356756518053648736023499459458928607994056615300130966029100486328841159864831706318673621503655336691191220326901951033129823434056375301380853694718815592356481566313750965451558347597246359029069208489596012038572637891779205104475571468131495841463363607675305877845607725158546222894646081123828179985045545059035352610745393772645983518383917216646042787979074261242328006917799336614751256235513533494949374300802400628144142031951227356121151531535629980785083676769873824388097137911036645627613538597496799631659077343655366611032725365982249558753496847646787528582561380849243640176991659249825784468616378610349065810899602121226820555632523116989876494356219360057051191490145047566162976305830928893824263091877922536774424623412041688591337275845863339812393908138940893060962326319001845056836802041554991613055205051918053186348314394353914786465202247848122526597227555477347018107302967880018592210201884018048142578522085355001005387455662472733946101026291794964079539825792629003938882683375060146437623871940848234190509055388691517990575976831516985954969113053003056272736911536256514583457039973417453911296386835201028589235638676455724904698087595595817223415526307593913445198186664112160014776198417686769471552782691555740762070292136177859667574424956339935155122699743547645579767831401559875434721299785142749490636073660843133
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,631-digit prime (295 intermediate primes).

Certified number2,631-digit prime
Certificatedownload
Certificate chainshow step 35 of 295

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870655372 --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":1100000004870655372},"decimal":true,"detail":2}}'