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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 #1100000004858703136 2,348 digits created 2023-10-24

Value

27247228868936327659242280443145663393264320292226795377516130933297783173649080403615447590445588975057126316455090002199475446319908561890271820025684564326552994555964966180010584736256724542819130052182638263319347418746079435972417831697419503132196637902540747787806900367241498748365428674355991651115821328533173699166551231165583895922988971831233916858992455322182947092044546202491772915944210944991371697635303792654893483113348658454352273051563949555794239470239650595610531077624988381066610354701058278359395246859492904603863284401660078592503425163674225018253105965680707591262458703588747223070060136839928369912636235141983146759698079096634102237504475936724553873922100334144327502157792210995877874205075857809579175348742190595737343611025711996675836996794047723837239362663882504506925287471117617467279239453497671354249000271712993681407964106039046727301095423800154551094245022880499016593620839357866642511599247212575519993520385765349571127648927367715230816139468551804292976565921595866541805712348562370667714299230557710415911850877743389523675631290559974574870835443258516171143669318102223739033752080712487888942943409050008030113992027816784930772494506678739783863267245195830807930300296353579341447029484369797925585981738445703725191467726487424525173460741732677786533754956620031932031965268509467232545958470257756954282527615691830991104508870238897553332767456305259193100597389036398899572545195384747711038041236325144125674933018195762275762693245313511355057929605250264036801697918626629484206897014235338509637170134406595466848879595058888149771143363579943952156609210630482635022252841170032790355839229517614169500508499206758319123409148149955351825860757912961711088497991852209249337216692819241012630803007774111476689320642930960790040708587586054671423709315432807361354800742590723475866680397790115822298812268453275061714765344181630967279714246128478020878482950650047285307607539886383497464449684515188243799227154503034107072770588396727448642827442575944561295239306327233695679589717191636347201237459977438817327742637908067031884257577691299339452130143085508191466707076661969379265034192264136092149248547907871859138858147916486823134888502563489563055842427563611955869605612275420018958364962289734869320146090513713950947558004405829417443735897050362496587913121
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 60 of the certificate chain of a 2,964-digit prime (316 intermediate primes).

Certified number2,964-digit prime
Certificatedownload
Certificate chainshow step 60 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004858703136 --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":1100000004858703136},"decimal":true,"detail":2}}'