factordbrpc · fdb
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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 #1100000004846953362 2,444 digits created 2023-10-24

Value

51658643178781662470656016092228414088576117704585420526081827413223506074930421150525423230332763310348174979897262715447758407375409354644507823827268125607592498398048438310932260427353712171270774066021280239907997925611402850775860577103308988560418107314140823258619295041618397481119192233849075378914953643806224164732339237267328299728783913468219426752319782894264507407676998668047794561359146478887141746755723688251468499378600643917100924717017600129069386374423349989617293495116839917869591276825338108358569404676201024854222934990603467307788572170623775656354667169827716772047893582307137175075272174585082846970817761002616748058300224701021478920648382032202024872918119573125045740845349090927591706865768789155946818002246141482522032229335755277737407464808334408030900205988967795805695847450824459645050388815914868241946727443767373990585211595846300263089629658838038924890383799284051116113073673453582677204070618292811265710990454590647673359278037746185563392859944822491570757681890618538170014020999771242922590108737431770467095645583388934998265266061079655617581062108103075604800099411437902400559350001017716861928121118984966950124487505059684066570319415556064031631662917994469204927693941066514428054605892817500076863372890008673017533571304978676755173840548085239005913804058697226788664787853132435235288025120589757555144094473819631855693832086336660657269661646270869242940943475806249437227844216081929503402468556056327361511911729184855204976076810350653751483217319344090718562300491258836387110082612601731185112424899953665208850021496319971043604650604019960812339574660366821967347011865172271869942086068349862429427863701510710009897339957112330814239047335405642889025722413008512196578640963645940195155382269980537835180581783637488145074326267913772684841999362647110514603898721933514373110896524327254722716823829907437428455289757913309943874675917724033891491131374707513393242869896355961141742705365376959754664603000264377695406017201498054635456481400118742020826883849135095839579496003579047695175830948301003751941319189852380585665485271149094901080480668303003391424174873511260061091918886790934696016418725151209063310165260375422738143468027026043801646809034467702032539177164665094526219202529474482739868613786678308338447380956444763189534612583283722099999174831818374904343738613780978477377553439437575156148902014466628815872570977529165933433806021955397
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 3,310-digit prime (336 intermediate primes).

Certified number3,310-digit prime
Certificatedownload
Certificate chainshow step 82 of 336

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004846953362 --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":1100000004846953362},"decimal":true,"detail":2}}'