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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 #1100000004841391701 2,699 digits created 2023-10-24

Value

36871642597657655236776638546370392289875124324535201983472009420504667444750088466814205809131241224012292085783815932368864562097151585062416044627213099869073510338477619790577125653450696583248373759639948779579497212108580067939383472372721793816271776760927999892696971333218678052032806917665428590934738231128870672817129541589908071524151090266145843340008657083363155726744378217292890824949775951697067211904777564947179588024615509033855235920250939395936799274365590792214558963386605263137455052848932693523643125275986594671885426241713215462539070166744291919161010530521022621107724718826207066888822707962693627393983510840035831210250621002871336510097942731963031104098807383460047776130259950899380421336799728273844825893253991341959818020458309842847361958434625253469627576757878895882903605704795048259987784816127066986997207388544767105777204956985747467059159584912902569815810762341506662662525783306031282649189540917367141532164134088216894315490112042865308254484334521602842517032091209680210301150278927298318249259617526074384269526939060603368042748390311132381671265607048343635704295973578364302609783097133807339581905974854830606291238650403203195748022198244081349225141302176345027722744677806682934398954742746906824848664420241427845335938694236673777338477411584424984794293381860768177383892038388278999227997950990488432618307646806024398964735780103213419462929173201565282616718390386584830731722385893277630990913959712211072402655300741009010026782555107711491566987779093936490424364354137526417689684324977055299497531649130894845783493571426071461221699751673160802770950519024081911374303119214358677916111853636143474478419047973137798824409710319593377301414493277468884078332698803343666970773280491790175833810036426022360299189897050885650620510358849469382529763780042546052297517086965829894127624420567549121692134007757653655701277830324652887126777389993923707129292821378419036892227859235480555349787637034698954350896630637982348676799951646631849268138155602890205364180954527881541022565166878993573616343877508139691433253013955477161024237698707107614716644258561747337457246596342732775538216068986045110653773794783041451437930084742112914308450195528658625015251784990530326917725672561329300587071784356248556702919596355636235119923850240573269238891686912542638404200229658117429475516135265403536996144707416679217219404938680419727187067003329622660045572489688740587711160343865428470978764187143198313260434928811201255570698719681962181722790124845161267626713406851029784539066502659618686549523407887409968347136815572505010087658527953659192546141000897161637496272736382844379045259260073637427544742003623531571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 3,443-digit prime (423 intermediate primes).

Certified number3,443-digit prime
Certificatedownload
Certificate chainshow step 82 of 423

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004841391701 --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":1100000004841391701},"decimal":true,"detail":2}}'