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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 #1100000004853868394 2,189 digits created 2023-10-24

Value

16845034803877329844975127870971620873776646686170964677841208356955185004077976933137538739399940503471592931288279590725139967910380187507909149020928465387132818142107377040985805871117964022701789395685701438716252245881091683822420808379540409583413488352246288587330383737628488454729662505897906115524198646609325448930117956386468497662787407614609430369302012672529534691411916259345710713284955630323963761204033306063659998526566039730938090584481438491452381244245288950869314814003242059936011092054137783641763625642211216147328438821919848823336045086760431379299877206631818969363757605129950216612141688863585545188380079350940599990831708196190061244521828863561403128143444966776564694940106513990654382953194740531128001557204580020337823507346500092131991712757371884260794626012511952487594423551119485845988764563623287601872996571920449611667218981690371906287561319762129940301690683877642632677181535103216589182697075840656817549263611414795139430646796190469244720280607333244704914516627303858933014981304400597313167078222768680692252550026050549307604202514393842848052122885896305984482487541672594925740425144785584343723632143833105837414193332467026444388120137773338870609444299811387007096946541700363070473973530352841645150024925817120200911650363127352022513361688338189505087054203730373848599092473335526321301666637870125144233464057586778281035069660766613727491209747779422742653311054073825842222281180982413981717295483336048127547475617563410923883623156461933452481439283349118117703976855998482348675434969365264010479240390341649146176655537009869621686605521025776733207770140501481698326209262455614874206880216951413590400875691875389463109422841747136150218580734292521909649959891444839149970704873055693715196070415567924105813846325796857526681605284959698515470127341642270551513584001307549849960495384695900809351483594805918043359414944512456770284549235628986326623255318643117300847755480550582358773572390065223381022051133018073936691012283383901149005357270991879962947190436976599185903367551330199325787419085585380808224740775503157209109014882712189954342034674155034801834460631925905329763411214026968998835414703111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 68 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853868394 --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":1100000004853868394},"decimal":true,"detail":2}}'