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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 #1100000009122012646 2,963 digits created 2026-08-30

Value

18901310235777171788050121776148634955292882405729297436432811226833113332321180356105030127592817732343605734111901905835592144737998048970471076938829708856183854589519670955864444931311073670045046438296863794217567488522699633772094064163454150912403048990211417726323288289337018891829424251681239049980484571295134501552342578220991899817480602892554251547802655462130349180070987260097030117763342680787759811070432025849135547098459337908068437593495083764919791576057205843153616063834929780288630734605917986898721166225851134166460670347475017970011395055535125650894212394517578765671181820310572804640456015616403604365766540069903460770574372579362890734635992998827005289330687645100879781005432191559079617103075556945031280997251772481044916644738434708766665514431931475259253119323736281338798477160728262809282366023088854654869486407690753926755273625019470775929614534496678402204545215992558035384142097632176531405761959628870741212845960881763067660067764424663677807258967477171396890199820634479557466932923763611047547242674078350382573360911276250614168039679900326238584645837280348104168637825903296921827216808472616084788027386587972131876168632789016945680730121457857682335853479598711554264555387858992826834514457347925312490719525750449686478914724874566601960861206041421947176784326879904902959219358861608690432811539531421348675090050430032752757164027641699051585132888366288892805283614082825955972345071795705126458418184025387181701271569805031058741838027435919637194157624380018387745118062423891040264497864693185461036528043190047010399081014718619380074018660390965186533638512880117132500142850469106998050161437776609874444498168981964667511892884113386348900965226820196241461883402639220966360593067409609827042172613187680204667469690447078947480383623621932116429009649026904573485706542995917133443453649582682044239185986955418264225789016330068081899243840568120384730742708876642920574112855136006330598982848278280023906282744045892726365470839497074831758873638170835401670750012404839297843232840728915988602027874232180996579818380218389934276253093795096161461929989558691236357888933204620704059781548117005266321747429376515384301763611122942422785591379466174734173222094651295636398474439439064683246722120152137559642951235804431174933976286219695471506294580984207544894226035558345454668030452634569947461284042653416150742044874674576572137879647125743676285616047471430335569100366971477635067218874956115138883171870146358239189316216407325474215852469089207137389956565730655336956178426242295180361333801877558551681974919151049140733690122002962503370409909826254759517400000229696297857206374873986694316312487812449805371738048010946312594231948489588127470222278026666318036097811737662821607329214100827266111267227351876836112115578008532292586545153107324574034568630114871558915487758709990761753325087015859890905613655292786981676557221236090897741241697521544110988925326707
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 8 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012646 --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":1100000009122012646},"decimal":true,"detail":2}}'