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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 #1100000007222400845 2,269 digits created 2024-07-08

Value

8318186435676010346850196465756472953503476546610555841203363739878842339712212609560074794167156691334336284014034036836634021667675247385672686154546523364051883308094133665891311791098724556897483485830567979820724357087444104712244998394240227047219154844890940084298436686663575752232586946026998610107284680048650156524703734524820624706078714189406915004851903714895501606051480406608481688997711975148582614380754884404268127331880164053365341731547187617253711705150996400698330572888559389279249698049977576528969996505644154065608444031429518901540544993117557638809818674365820387503227103350863883443524432861357132833594711810963732681932796491581740210983405489535703155602777916248830214897410750124271642546344026861365540752951140638719057878080292069791132003277946375415399363697230620320998092441962760820854187029296105311094498577935217958419691751230463637469750271696911497619626678299945779535072108297824864226378173008829816389750425631556355621306008385246548619693865421182245435710682490355665985976205600556940020193925966483896978495970843639982130463850159778608338837215432603257549024407336861100814914369695499453294825440752148218365142991208071286417600830390253952705623825475824150814923132960458950796000937164900058794962734386033827180782223103442370265670437494892510830758326832172734809343105401967629458527599996666786359354797650682131714884019020330855834080470906641867901053213245329521424868492410876430162014468517925662968328413121790953464368437071294811374763879708055952998446158438659535518755842491818460187964252807762452049490229852244285923459826767746415174153505913896057919307550049386542460296051863491629618699237752914291534333741631111767986047755194279605465986112783703989001959696613005579699628944329506482726585435751118126193925664073924950544346036783034003148696087661552795859987218208647627002244543911136085813396121715594954552865678059147391144190682976092924002980898587205872740567897015516636684640611785435280931837922900213199007853710968050071437145954089573465507980293260047112020602091768891509897756342115363493639423291328237077086242289507104860611424197162311732550125264784301125762387378665825462291562253945791994561788967707883095307827066536832785976157163675682250561
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 29 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400845 --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":1100000007222400845},"decimal":true,"detail":2}}'