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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 #1100000004841389877 3,334 digits created 2023-10-24

Value

6342421964017208273939461504608954404295212224149876281690272886095253278546120848849545435710472868123553610587439041077345273354204215160416602233858494179165212118466574870086538739003543724024165429878774300252911191202365336821034318634293573426003612071878255716899073584658776293240310722063472084143688002863637399263632685893710615082292087795623835814268348239734943956205711775051535487676284789786299262926623268045510153432140749796016841350456116534168718929893754926389407997896347130090331744165774916043409092320223699385951101128431399467795949523636080126056159972355989766461361364774698887348643244641221697526359851904985430979469629970534631033298418565661416323980354361181232957578490098003653302598739522277954172030995367759829579782563156876514255102861371380194463276956602233922206138923425650209827326422050784844959427491834935186029452196159244879282994186843779913086622811114313521231944836778863315957053872821477296670934188656814401691532823232096081078124475536390571048218322137348167294327242896084099855229776557718105164104221355794129626699207617237483204290681173864929104582492919100324142975211153991046375560529401581786242322315220020365774740734168504912955612722708410004616458263656652059144755879850978919882516036941460534107648387963703015532965918279490438729615552345502206534660273424453979975687866390874876110991382280015256430287362173251425508590890906240908998887341875660762482639007339072453650197072286597751734395084595934672066307892125647323714400623119887816370856288171869229152797222347218991790086102633297494343920682046163613221839658447972084662688561787253877176478362504405931524469548857946580134103874667853444102308288642430404219084306255331274046963795772830277237823777171514344105559404258492774707908515894721350112777042333241133968102346003873093578766568313526385703277739782846688430989823073058197526180952709553628635255832021327596969701977580182002184267096895641727416424275489154429622598527121594642454937539114662603025019192209154481705738625353686975701957001402266600556055787258834366840725417864796743897594430843661189174832940053789837901199927025748484522169816468329409961239665410995216587034004197843228049689981922240254894103884997018778562423593573177207066476974335796953686149902880132161147879915182017103412211550298650137442612037335138079044444823219919638961668389868377716834645174021600033971792723719932990805766467473582890602896944005457921122656175027137593122464851152115157779342781907731376890090437187755927350802827260200343418034594695672000754413670329857226116388468824664832513883936190230952911773237589550417683451875584186755773318750313604204985749098581670987752426321463971147566070365189030562811653911252470116886953365613611082372122782465073728163292790347953983594598303876456322498311503126296644788970056755456057946342063781055964180730950321566494752393631194088933381180291376446398882906284438141292033468556853373661276370530179051012864544140967040436439277611273472760894983357164166585550464762890518874608284448560305444411313785133879505841042434069431176394512830218251157047778634966596795324805831297492989267224535926982289150266166330349211420888463056455367215731279404578447931746046352915871638270340199633828053301715688656099303162282886943111823921878089783149334069
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 3,443-digit prime (423 intermediate primes).

Certified number3,443-digit prime
Certificatedownload
Certificate chainshow step 12 of 423

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004841389877 --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":1100000004841389877},"decimal":true,"detail":2}}'