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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 #1100000004870709658 2,609 digits created 2023-10-25

Value

38240400068157037892099689855971857169094809885181786322185506798607695955477896919791057997123674831446784432197633475122426663871698112625044614162920695335962979847897406195057985927279658912566553750427280991583603872565977048691919823587121561600765391067316439839578525218643938721404004060882034218788131653756015940741293866969512484148861457786411055547456034239533932431291037501618730816240905166786656814235605895541095104290691724228475819506858496341348321146656635646548878536605379881912516954855428597843843526775742902984280961613174589844351066151719441266904218516092192109654843117074589251693680498060941530380520006677294745932283594467579920063924045049864784327809423277507162416402482073956884941605428429782221312617143930463100059055035971385912590717542293692496588835310461199522744614580030978570048408559249339390586806695267724914988250218323628212480412497646838856934229025208137257707458553209829983584860988465781270909762575594421923252915087945327966388128159559807035209650719699599267027089775772600638010029458677152113171520416787756450926376656934238978796714826415419147139286180861467080537416937161521193372704019387276617858201848876711385016582549278582096847545603994948451687260630353724206841777562289233427879070416142382791028478507301716080452309997165291091547900988585343057228415788139943318132478404739868447653106161725635884037839872768554042222611916328597563413874653183084181698767068796003481083223382945290134322547806433825875231937541494901928347190162224547677098977742404849597308203546545749490866355085180828550232837124342965181878280339222626789485223913691574581030444242900220739112871994631404083348167558256247656927101029394727260565593908076383486708967184256365586981069886379879705415169858876902616272660376290257582086077669371516499425395740214447770101347554431833226347291972648956571239937215400959822325341596082837872449826154657343062801648748393021514743442573070531430919252577990151849463593218949609746952427501527741179224138676118873741420005053624182116658164705208808224295970386593953051158927091083374576883629505024325330892793598557495853110866550937166710275510874978498105473321980452213053663674627635477865487984317949050799540526391993514238207768779517377920010586609850353180512408920632942307519585633248418804781012796511149049519166947849376550412670607634312303955689716535481872994326745193723870806260036216423315723828985783220357977508859839015544332615290147765276722700013433232111980853079508350431150141315858121813979862156044419338739695931850335625262560037651726809461053633367697813
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,638-digit prime (309 intermediate primes).

Certified number2,638-digit prime
Certificatedownload
Certificate chainshow step 4 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870709658 --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":1100000004870709658},"decimal":true,"detail":2}}'