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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 #1100000004851714637 2,864 digits created 2023-10-24

Value

17563208666401614562716204982941802139298649029780193901861474870844304969157288801603688565480433153968584709782261140697703976493995023363720502099804262098813607227348521889977397556841414049013433365889908775514607453008495053434612971832905000996077979601904881440657185487357405094385327207453535739895333286550765488581392870041832048114158233173719602526649661286996005959388513882506900597633935653868009903317456922863691062066845584997953857928441210871269332473890221660550717647944069192640323105327234041811141799900337018428077932548017150116643581229582517188560771921170379241737545983879132590580725840847738520442259425991877741190520186036065253950002977783050244373225741304545309976894726188530566560007609863022381113118400958276865577729667212340454225131477338260388911446519474629010107412469401888297909543403603356144714893107089703232822007381698707448715579003759913896946561428588657453691568288226087564984314272652241377001269367899608956652128530615858924003689741718228815064357422443464052295959672649477618086828842251546152007764404111701802503316531004799157974905682885579104021006650619102466036366390496882729375368525448803278934591239179579099017788711742743450184399844757345391140837372797741866956612761679158384604379657190143913885246921940702141575499811239027674789677325816257076177737730271201945596061556454050039256711051054034622711634671341790142550772405514744050816538397412057030068897966747315779115223679221700432412817398524654215743126765750092153217770172577750581450185683536875680307615231940682828921043395589920170591423126647119567192490932358381744360059634603026278415084314333944672325463815026305830043344567867534703022021853896968341978722718496243106929304568313156362447566341559420280738328091235967372243474193606077153313871952417198842953610434531036257890329036816538328218141977522484023436371932472020235614577934380844235120945120323801325813027990303140358889546183388780690725224900225512480460989715506861023609798715713301324711296385846466052787210666580574263771298407962669888668756371086294506536285791334492539877080716231182550089774296578286809774059801794792591271387808046300086368478111758347431158951047512529575192216942863158956054602707555490253820015498358257760801298620456638432888814013866355521304705783178198452007538939052398872989367342303619868335566590144570698721497065739959806399760428619359889354268636369590589987796300711547054668565356316521335093257820998537728413178580331874726094620613771371226999210961282717810836998373867153502083310725483985792034090818948791627472994031581697973626900314703982791319989144688009123343819341713730790673151807983991876507086919436308337943479069246607162616555459695832029250521322424922179990560509395447257020803512243688744898714588385299889282577652964690160103408487540165861143795242122147870971
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 3,179-digit prime (345 intermediate primes).

Certified number3,179-digit prime
Certificatedownload
Certificate chainshow step 29 of 345

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851714637 --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":1100000004851714637},"decimal":true,"detail":2}}'