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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 #1100000004853868285 2,234 digits created 2023-10-24

Value

22822734977369273870574804539445296694071398252757571534385071084125660404431917648491299296280754810275092538792777252431721307479842527682997366625221603061183186248777297453288207119326799518195303497099036263564612689751300669014348448770668291134762998266275469788967457840169910481360210811183823339371667328168213335492415404774258300846130213378511323154283943130557253140873249674896357954966689156713420749341782848224215362627084831717954599872202728116473708548180735933720054232782451652249970191370379067080949866328261642154475945632468389120478616647411470910325138721603272373498819013460105418584055746171904284491422108218219141761636199028945241119887146235863299927907622434510353023064798760389630784637515446796508071021981669196911986686052008908431734464516575470744423873380760119789209233900536136004803627061692907854894260787332964733585838245842260769228741978825772189265113695413619569797353212569708743076818263198844247023850368810985253644640332987070097023889528148512744356168466442077697577863984145868710834154337239109167787953988979713274490530264541572333592037612607719172426440777161811860781892901987439206402991027755804624725951573723047167115131384207542243586402237370350739697308221197277640517285419361967668061727269280449954740208069540575323808151302515477585855556219931515854547920525507371227250036021579388021680161765698456311663682253062973218559038502610838823347382136480558471395265079985939490663674219059697367214858837435639047936382689633147960625140449836744083516826000401707331536849476582427459804733351288292825502648941375740249240007495839000725783955410848799135612866343467436782199556543834099065054381733140255623925217159290537767582488964676123699351880344942860952556085081879207490880785215511537323223189074212410324727101644487173212044016732412660397799088294284877287180151539251444521557622145630441485726706527178725288131242210436833331984719391378877681460815414930855171287967786354457673910857136364692227432937195215134529571071053139484535220432707493884603937992355394703616982913839984186400864715754010928376636995244736212910139940171300658096482767374718401570363213517709401717642780941186462285846648366504968215273527730291531343059
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 63 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853868285 --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":1100000004853868285},"decimal":true,"detail":2}}'