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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 #1100000009008085698 1,975 digits created 2026-07-27

Value

5520734817265501370640820786188581197529067320855616044155813195311299481592588485523283611894628072779596900609592944683196058381826729489357273607687776781160125585799952175746009463178946677883494149973147549252014670366167675352365069701399871340353792969057337687836161485001917554038649285535883699333603991885505751024495467520375590556545428352708843939143515229522733027167999008600144607705045101525364576484793733518285987539375951820226609988717116160717963533223265348473869102722831385391084535281787656403967345670525257157211605259022913086082829383652418952142131132870182399760854696640173320171014175387926877933625341695243898019135833028120127481365341587101669614009026738608010462525289465846506663075730884167220414863362910190576242910031011214894668570157133749871521133004713642060090916696170946798084102530157391065279536562784214656737571830471979154204695956547743682273826458799970050545065133739473125116961433484616668469077873152024551597528942048537114182797462411525890870265195903245327131572686647386021012131734896991764336308791480394070644970878029545143695781640282978766496860866448786106234619401704783017183773901519412657215853267422140822059805146528135269184516269315243678440321742077320194611771622682027672233858721323417942239458575790852509111015054471931727009739302257447544702954517535141008962547084118857915759909235188833343754888921122297526107006170644384386310563032268310337050175178654041220952781176651802466405741153703973151606499550381559667480869947026968503238632583502002487100535627918024448825253484487105156506357691092616605627994096091832181520703299622942986284788705511016235818531397251186768057519655222430567904788174896152769364420720538657045370163287861793571982638485531855715460762009727442461884158542209783138353120797470222500150357141815368551218783448104125601460959043711287914813105090280532751868530488015374767653125225358006040193267870652666698743837811256634325632907939453747
term 4683^538+538
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (1,975 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009008085698 --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":1100000009008085698},"decimal":true,"detail":2}}'