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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 #1100000004873695671 2,332 digits created 2023-10-25

Value

6361979618678328804283643294896544173134977367880634653709335156751799621061461196712620350599392157647991455836775307849422485658591660715682685840311541074994531519560098278493943235445666629060361359255315326595668060342580892497264804971554220686412480187575220210029587531375028372504647580910916667968196194501612009117990389894247867218091839087501204407513200139980436423615147586329707440275026919086879494961450265255235340853597772341150336260511497651845213502347094706993521070917708934653030257793814852314225795761054755002382803379023880859591296302073099514384214087514018371354993525665839154326080134202090258666622140730220720954552445530054802829724556374476738440913983226351667730849396475978689108956743998675211905733383979106411887157533639615448253618484348178426832714831814998665182367128786272166447991640384231599504532398258623520170451825899079519793152258483021048461268959766073798858945439427056858053533693743697679319764475642270257202843155838356038245036404768836769905037724433331099067332159712504973793683816577056157986141060764607660479930145974767658559971645788560258388242042757844922482752778574060886446905362224191906091563412022630420132044820701468346519064453949678715904583815315327412410056964062033782703852027874891059699201265616062483529267860155756393186311191068715680282006397412771175917394547505210068633120008268342471970429017493052451243597620739417892588551463814330117968752429531666804320720355568223268544036021479165274353717908421121920247275058681969504769633244151997237394277633027489566091438433672623282872215085603237014199693201986775121384527002660373957646829647506203499182991586230449080765944754786491165880798398349408534705963529220477856525034976142423956779395159021767893721289388492801299261801297731252456982967657545780334396433430906790319325290443646352203094365111793010215759333752082149467828666043137160753557946468753018224658703525137487268894754990402691648146741500323251655796641258414327458006561149423149045407757370105596064147830591533029356460652124642831289820308290836191842125935176034135917429626377883750297149135305787935483497775538377903328034520835045982566040923487659101749416776928185447324914963214358965311771424946462645702611126730300780515289570716046003162596588913699481757811945190398897669466888192827
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,536-digit prime (344 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 31 of 344

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873695671 --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":1100000004873695671},"decimal":true,"detail":2}}'