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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 #1100000004840868165 2,471 digits created 2023-10-24

Value

15866765726088469851065160843464709487314846178552355961830380020242176977009233584913506555424049362423728976139949001492407553094995162952994918374872766213643043684741380886304006011221528383798919258630618052489757704850565517656710253372498138260498459021468789172841910735972562498849814108288251726731790292954157788454490014431050614102404638208034791931759089721333509691771795245714104657447270606210646778317674272687440948016961262068526644244922630440429754320889728725896542161840904655559613421266570371922273432041292206590502771316069773518132434238898738161774698312948758389212070635895636307137573369918539759162548446950999783110278044632519702839296068520148148993855076710876423906098566335271505098327993393260355785633647017847014733964229926131240193874656871488270846736816562772084666629217442409085632948630203393250750181028343911326532134574011942339621305572054181289848127567059795616618979588895031852292358140847351141411354122345066534536990839660238006312147413975797510582079637813669898780027079907677066855383151984488114533633893449893271654269426088698486746532595371058615338107195191453825817919966542932156754927244266515217529815658982340127246897365922791986772001180001909434483967561804309539131757231989691162722536932035037371039483961042713782770056619930774098328129359905202559532017451514300690777439512140756053636846882225945649860499942389322230842207533515454046426039531664168866983558161873603011687525932759213678746249017940265791100910635733598631392370440734963506692943734844712681729200762865818344848049130863559704012274212267990417768019009796297719319837906600897604884682305799121085919655258336876014745945762648121530760601167206324607376450975939009108899661553959219052636577958458976391426726089812998716916299687558581385185201329003094980438593079328258771685830085492017145031031529903448509089125699425772679174963369352230670281308417473795155867701839525964483792889094115803933904535441346425174856138022674951449541489785504141855430218018185557339528833984464059504952900548523168679588877050569825006155710251458788401870370592458499144979999433471103831949694224012886410202638056146620378289023029186524050301484768905055460218741672185487929695033336487769848501600948593291658470124600396398466098607180062842578092709709164777122778044488458387945204207590833056054976714453634941204632843415414494413349766909263037086230567611720270527774838459162700940645773284031999537359111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 3,473-digit prime (355 intermediate primes).

Certified number3,473-digit prime
Certificatedownload
Certificate chainshow step 94 of 355

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004840868165 --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":1100000004840868165},"decimal":true,"detail":2}}'