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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 #1100000008648834717 4,991 digits created 2026-02-28

Value

97741877664389033708008635962512814702326445704544049501806629343035213321706985452917506041580518187899073874142389734893716378748205987222171416350428892098185793020850777203598190839015506547172265898492919839340209748414807134297426662977091694070939319256567777995893871003010503151165319829375470179163201342804152949651179571211668402769201821001965712355226798131103348867416882119948555742805551025914929882624430389269689927456210170736632852233387592242424016252435843679924147108396162327332944352454378565928786722192302627952942229268134367618933775651585352098396412314227370567048988788474477547968585208591118478961950365848837507007673360125478177151900141058872482365629645943316240392789195951402649425958073790413734084082077988979424991900345945242654480617105003479987388155913849376669357374555681002298114906668667657145230477497756309130582985124675759247781555528955245787306300483590700002477049260545344326261467505106255358914506513885250552637704474708959165028152199575303857501556468564997715964540125923817790052195069845700779731388279252267704066778321428582103212548237652564235264251719594852365343452190320164731274283591670558568002272431954987094192820221558408421801261487331894248439619127485711717690903446055749576582274781254044127502341250576947442749525740529883783546100509773880993981109057751987942393885997183825288373507957150916555033722568038766643641033014296368892405792160781189243473045810678743896642439913241599557975395520848194557863187185022493607859256441412213278064827524684655022910960081174833525690112809890769073329338958519343981245963368848657116033663409791929798955103958113015867736631540725589467016660905405874334147181377962465447882827722655342116865751518970066296696992585859543718320460510068338616208094252835646570286664709811931230400918156262825450932701506001696053916999016300695545134671225303039553037338185200536047830248929407825212922616735056851898853167860277933539077802649586268562589703022565233971964166036788569602191857791222041532341367178107154843311415347462224985397297367186458192876677914405117780037907788478184488008669796786877221452790422487665062562154757253822859212971879579339474786717916762453117035952130456460389411634520078392680162808471400642735311135524021415380263951687292404029153762835859772198462557209747133245228422907952523055915969021364715877525209170162609494581839468209553124010198255828468182162468626012496569496793676832563820314195291685465864031058604663818053855204921661801295051624046236922417171225672496006090521452442140283745333406062239295178049804790471262388545356362987741426240921788159504225766715996451323775359433940708945975948284523977848339891249042693616141844656301365147863057905671661047707278764485282965269793023685009705145874425314797293696450819426563609580064110750464212984300195088536736658345251602547416614213101553068342461480541161007496988213802558636110276416417238990196060379773853005073091549916220158124058622932253034619889962548399749403616452977316884589433156134622185411853451657238738667499755515393484476297833841623365979880623912278996888853400330319736834364991763338841577056109726586699480598565490526711564821483917193651959444760470339930721469113468559577125966272237131777365606579561704039799560064229505611866984288682997677775719642529210932074127330652482179471939661975831790059392575258480781664968186969725660913240998648345891814619188999116566840245329436282196584092392466957712370182941282060303723756897456970637210774311486125426556461367722489718213845918498372210734296375474475883572765570927656488565951000915662327013416241530398123105874236150639226479958037452663732087048890942838893330011729779556312544894497664077727362978973200332822922709334693877431025066612571562098937176869731788173190458259530832564307252648480953106023385929270640221250196741314874360731414899625439477984066751755714691083151461179261047528728275754597170397779445714182474081674333634122497925508547979230325198865720192167430841213991324873599223212934390549579994115340797456941331432837621777463017747920754634272371776671073869821929704428400250081426132727000383514655771877662745464997875010470407327383285843834976080091118373946489116091413254971890132941570913219653871727391970653706096433199435423664534328961828515230090488341663627718273715403039036595719376886557158390672139873121338384771225904858903817741162723197421580491438917310814510136791959812615786167865167096726899283799698863938662609586674792312604152703458326677274574412924337732824940796378878259417227389857623185673830870234364720316443786055271992454371217055119121665075508116301971657298229904079714751829211432799610949426644783486141154980525201254399206872598060716421009609986453346736139736207775154349447820206520182655581202829115379376468518650929827092908236655428556199174904499830486104283043111268748615555664454917017008468641473821064907056180408292483606093372488359629533048131041562469453
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 77 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834717 --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":1100000008648834717},"decimal":true,"detail":2}}'