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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 #1100000006985328459 2,447 digits created 2024-04-21

Value

17199316710513150835930393198554001103377391880761462059135685267365234414520535924645177268201940842933394821295245169632069599636740201733529235090342395127422987851754920612289574516368112220246346459749568589411459202779430312289988722212216917714453018212006883317223527106531358383178192464182684848655752487801209927137270470981339209754953924667838857222120395868103740489530996647542749912576230947813405556570364513208644083699568810387812267489976757531028788786761164162057299390337086338417938741023041407420416927374605920191376892074991259485651020416328034187335068221067215089105134499286044031178704670841350016999348348276007496770625060597004476640153127294685629583238115611491542206263571486365967560279950175021160361008323530142330416157189092036173521842893602827439799523046280003116206445333326533294245552629110271875062113446627813003575516646989192457145032108337259752924157502228153624695863792136925522301932631448568143149955715048031525602900468039247029134967749115884587533939921549187351988884996167900161271061334696991296320411271761565891113646425145958110467106620963409725932401873977713234877085126389733442808065259214120904822438254559375136477529671841757470886551471087893615947590490886231514680017325412839428339728949889706749958267972090491512979001104650014978597145664662942984643648578125831306923505890641478100160220152359628468927845618024538870530076352515881955019579443890233676801141435554835675166651243718031821675813973208047220321557980297546720079336222106519698010373272439845867705450405872151792438159162697602863248877052772352893564461997927662571136110763006125495241119042180078097357660472768792247892910271549809929788263525407169554027043003675306391281021490315195582431322902042429960116179076706015420552724610799893987649970326515206400084696491959962237521387143568291440639524041212808565001129486590693485533325681571453131223870018071551259888209022697509942837453168783784051229209524532050343619932474457972635276963661416940722413118209594711274254186904808738618066832101671510829481214717503701682369110125682864517179761529834344593335611914090009845548639453402003261967023245889798715807906862119349993902269094428720030823661039494951984135309832409908761820221457272989119909907405361480833217195708581304199408599598103957133049795174949536119954095894164933555897295721264240583816172145118171341463515261117359163905495372323954671113022328787669909
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,867-digit prime (317 intermediate primes).

Certified number2,867-digit prime
Certificatedownload
Certificate chainshow step 42 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006985328459 --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":1100000006985328459},"decimal":true,"detail":2}}'