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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 #1100000004852134451 2,235 digits created 2023-10-24

Value

683555956429417763581205740441249387444130094879343217308519586538779147405755957102474221331888159569601796327994042653833804633929794927951771756230545016725994705129031662958385953064027612452067531123880489446785951516250497615080312028882395668044362684888552781610333783799217628831709338462134218294550806200240948757089640265758921332842247698277916471816284707398013066225744999159569342110463568375974905119159881789180359185808308319420032537255721337518482453413127912043661357309906571018712583229017457780687113364329847059196144752453803711325491181346830139343619840468819187079060867470725858691415470515425380943196645090986238806426896134909826875930814121814963332439746115927175100167885754892801659256477781115773749805544502793364554436271746866595648440566963947370312742582299976645945689097723521589204853414896427622395063629794571696688623424975418527213432773189307502199892974000021992086136307402681329590393391657701422738402952943951431532482259601969938953519375456754567801959358666864728043886013697350811313187861856296367645565908859678902616865821542427710539688947059422784176532818712673684199758431632136153492997451064856848151320567311711696936623072378993160433971677580722899867984246655944238968196740333041185412246254042485374585893865017056462472272543465319965041795607079639865483968886709873804653636976353840464896729275191588928643908167118882037358162273676280940949917479848746388953606263817697446595319816638816692483414704446968836148208797845395275626872119304753642816976394867572439771051544348992708486611584702662295308254880239306540743434294720773013028765993001779450898988886944998624776095739346873843624272101512504156296125533693300818949259067011373169404270534009176965319448915697462379740977831428481493518555218394009217850571363200947934965734380548871030170669237525373533292539753373172223444149493174545823700373691689127935887011031272055816650883717330148308117551890605767502166436025879234294168109438610635096895406093257807513573092388771683238397574064290564267491250274207273609024103830987608668925545038261008306359493738243772716291642246132148394217560486798899347731090552034781954682561061343867700254832644892886902287480890568496242163931
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 3,175-digit prime (339 intermediate primes).

Certified number3,175-digit prime
Certificatedownload
Certificate chainshow step 90 of 339

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852134451 --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":1100000004852134451},"decimal":true,"detail":2}}'