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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 #1100000005814611416 2,727 digits created 2024-01-27

Value

753521561224710821755084465820334441533182968600872333403062156234507322604638967813315218702718848950097926118203460455820334308297666408408166887561748293645179651470289542012315718805379307801776958495401992625302364857704270473101008616385546033481295959903663952980201446923932104147479324759683944917097135962555397479293133364589192760315649557710835470930980741607130030249754385842391323904926407105076426934588596875131543666214959542249750502214489347906626249044925737336770419783149422359947816272651404973708922035071754002765425633129066739142767137044674237635477292733943589970081632629088897590615638085831120009126293056439840611423830309996166146947909104050179922579098141270184114777140055984833348954736841832107135155422147186860923253174008619507689015370817761392236325874442486275451800565128834568277936879291954028054283134168590280987921908324223617123961832351465344375704981341891932939578278014338349745509915186995252266073961274709106393085940803481328740164484487835216659252325508819539912845645064467612443945761387281598704664034346393789527535787689833342384000503312421292488792579482614346147175658775712702511532754331969949897327303487213664818795513680331964448479659222818287520313017304094212470112747321691686506093445091362118130269127808263847482560512701672083418242488212428129806425544769695018565201139063638696582442041591473806101891602137559768174342357910351762784639150537877195108961355715125875361126351607705959003864520234453052365825766719977103257996444855715237250795032186125210976119337435655822680074352968343113354907090583848730475790369013319385655007623657006054762977892311387493931304394835832574106275558456017511245255647384508303893616758237120862641439087219127211241732573665014272370864988759465010636468507554461645689176717023271653663981574556850890246901210894972274230901118228338442555710158934200609128557497494444543820832620701011604803869938713851332554095652499948975912041861718993705551384806317366093978938497752331133059517047086708020025566447937602910019455953629569677130802559883522780674722899921444142340003409335037950893276694563533013997077037782792042095257643509438756242802517381392280349210159018029622514245985395705981928327507219121030444957516672586992763560068586752413909204916753584574843747907472338292181991313358800901486173935635483323983842540441816987502990295631875120290227631676787433875064934114481726929625673625939959106482946225369226669463072493589919687446884438249098475458477375404531659388505601604724199394411324436891618862440853241033696405903042130916901733733590644329186661862993593170106929114633996949208366037007135716746510910192985174900998803171705324662360978305810045656948591911
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 3,798-digit prime (226 intermediate primes).

Certified number3,798-digit prime
Certificatedownload
Certificate chainshow step 77 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814611416 --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":1100000005814611416},"decimal":true,"detail":2}}'