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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 #1100000004861550643 2,705 digits created 2023-10-24

Value

37336864588317057132754835299805928651161270386669266790120035972236190411085512519302523554722296829939955145598977643704317625030347971400899484274191588229302694564506587848267489353925998068307376590166794340857157861339330303304715490527718818293142165410327756641573806675468438986642383035434505356613630251006995499692619788068950611703556465138851997910789479941758966494675352156406196088429224220182186632784568080139148041426843052479714513026950260186483680324363912890445292870395111430498176716421933445706144150013093538358067708407549092726352356133651913286792067097329736089180964021307126750309554005282603267080563975397144146105498944709221459982438270893189211666805616022263837325804751005936163539561123027662642412961029298594306786380931914015860277685082618857828225548619093298974488647257686479024569045688840082227733501085937693641668279664474816785427440349021459525127508293677704576104284827390405108297084906491209326365892739728746443757783325323696553708977371080746869292800716598437264754930557201344204798205283750915555377867178853207825957623530428917820566013154260796469907047863850647409089836624483581410811574191154125719591006209486027967148086869570942891820228271300137347881227948251996488373330763045866911929136893971674045622045420227251571524212478244430267207708244094844560480944878755063303263832730527480687528154714556870280779079508444955978395341866415275838618377603004100220364559457417465861968419173960400763788319776649836823689478389757263208883921953167703181289438376893642051576564428400603938611600477124293669221946110958430328414472724624258023393364565101679419724911076227096869855443084036319866632583742195780982787802621146053415689660604726669968573365803424065629728631702675749116150038112877223452253981664432226515324261653888041270865984270988459418465600583109650548259553948451780006404545171064081470604320910716647306003513029007680701255384230946906344338759113761639379728271797812124466585817891214928029539303492297249010172157426927975385052770442451226389867744471612163429613669053128725595187297703932670026611860836111197200766293886682444985823050246773241211021081833757135100802031969337378592355356826622461405379963775545152414778440524410257930634296140868850158227789716432386520724864593550526618524687792245002642987209908520167381565396584942307605479400141323932571000957524283633620414854270696379890886151880628995092166253708416891337697761969675096288805201330238573496478958462949919089021685626370079265138036403403576483493526053329318169093859680593569554913078605012455975483415514766004155447823595170257922161662145252180511352169637496727995833733653266256914461832467767816742484313
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 22 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861550643 --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":1100000004861550643},"decimal":true,"detail":2}}'