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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 #1100000004861552174 2,071 digits created 2023-10-24

Value

1010883719334858451511603628780137971964548267827107044282514716388363685956592472519116859770092788254632731080836358489847038318834077378350378100189816716371739375982860804962683787033615772619336691583977532990100184751414886379968430986348760355323217305499691917435928691143022642710283160787608187214435594762650364069948943030786372991547749925497866804583326031295119507148650178632456019157219712818374996419585392522466675031213561188082923214189847300033902733966083429970281420096486571486942174646063451190663374120457639782721912687558799851620749275872303594152084146602246293950521490155823576588454315849014751596602492425035617320704090308636049310990903021549868225184243305180801486418617855581110374511357965556399592250829452914086793421732938764859792079581518419949591053132660779155131277358805359784722808624933561419981488141902858856589237565520369380554324016715575299793337974609075439191826536327572668744753651708196945502434552120886471104539945979947395465804013776203666299378508324676443531329107082792359785496299298871157108986029673144638305995527091827320858171772701459244731465854123535111614783238663575006329108712420603849961218443936798047371552161651663349157341155806307067319442542806762241116350665403648889780360412777590680962611357757978677880166887514816327692278565970063871088554124997299037762690184930657801818428991787384399295234610158122835884129322813792690262622786337069349617388277320619395562739003625646492211541958702995842365735835009088532964467019657436508034587507358547961594495161283355772263504707386025769657041035055958881372271372341893863180447848345657361493843440457467607566224810000152137750497668435751303423592685821582467456785956769349087208762427659198382834069407453381505605353197000617885781462266301827263533592181510951990196737480866911246029162524847277304379661894752499255277516781168728251265466392749030135640888944261365520870433422272624603499185653927667727031691358718258432517523000564659199761298933309496425143762408262614917028637198263194065624965436064022068511
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 88 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861552174 --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":1100000004861552174},"decimal":true,"detail":2}}'