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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 #1100000004829661903 3,897 digits created 2023-10-24

Value

997203508831668789807994771058036735100295404678294587754852646891833633090232633063089279871792772285089881983872774689998182203209937036764662454310936734289418094007960899396115073663671333969092639726774047300600778491446656387122021430706760350835755631880043608390729163505824747369677895695484663943142263329018330567932958095136763344167912076340700222545880328726092514806602120230177284985162468333291944960812137434337056972480371223339831441603914162857057780259507437786035956354654404329263330691495955637972049860194189343503770288647675711690411867379457332095096448243278730220198900430976348744551002224155847832653285835367333423430581248697995431970955914725017203634320847924196823582867736225064135708440520852436148315276876281466535433618664933992831899336540437761109937527657089178374042348785896354197009315190294985024223880818735887038391878815498958261579802035659154824763969243979452236664813135345413764748688493641620695097988446292419866902729086667054106492491337344245010832766381081237607368068831891524217700680139507297580848303773473282104366674784628654053078073814154267207441542589474447898961812376828694081536543055454259996488682509871070304654919058912560114175030791656467924379419068457358647194385863911358939628173549012006619409173325219486166754513889812491273444571802985165067046620773397206513960323370259635776973921621210336335935482463824120829377341173574940624216557645455342074556652813533466272158231114506355856945334836132592943318478123010738580569630642428356859846566705887621343582706379133763655814104210798542156707139355120411511354189051801018267506791638322001083725924725604560497489988212212754825636192032206462377905849786525645120440708166546843035186145020909026138382987731685025314025701334478173119774374692798881974532605081309924022761636677593486271617050656405670680441877589656607641655737570620906800066316472546797741514644258997390183593708146143372881048245215378293297655306406439831722080337685677958635576898092422688615161932971172716998649883399466767181052016196229706530170978986480585307327927630091569024308528721960199902359540233847984034249676245027208797962922534506696434605559654395944942524761105073022770682976164682849984923566142932759729346801583853772359287172456248205774129605731800339814923168605214632279256851454618689576410790780815848311890906612680525566363637991743879588966578611520534657720622502814485684401574516036607673131225076985214408629259958290631645992605298920259547771933323462108260208714917481114307279919434572534543913458207618488306613297708499903188940023118689749525717956708663924630953457575349812401530196306712436587962174716843771290969773808795051907752940284256779929545859277537901094992270572265833559115539457223214870844739580230968484379410133201956051096479974388709484826419191595396038489543918033763591641045297962131304167572598259099783448871522811181100346868611580805164242596271000782501534566690512521861236848060973135162577201950418702236950816088417502981780195291440490714085698912255882799833898317333308671459403332986368629724998703149110834572279944956634007020051142070446200948775759216246886785996916273697315231879890311644339282615019605253346449717943032424895924405586736173924538750635778725739262345595436209600728098373567710181107666636455871211799561323829022416259711422213392291851910482723073366831362762260479213686332357904694974554178977985781865079112155923559369734346567051513604332769562864469870842064649379338322145991751977630409128893437504091729102852574228442008024510074860919291128500949676553398912295404832544611818088242708807273683610579263680857922017389735929040160063713896553738198294339689865049863765848886388601540023983861211231891221893086863271816659903295970881076745568427856798193303341980782429506792193816625614214634236545575306917836943258734267004852423151265521891353569
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 4,007-digit prime (420 intermediate primes).

Certified number4,007-digit prime
Certificatedownload
Certificate chainshow step 12 of 420

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829661903 --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":1100000004829661903},"decimal":true,"detail":2}}'