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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 #1100000004851443576 2,798 digits created 2023-10-24

Value

17114284653625643111598330324411528863264463554349520851171458796679114642705611249916189052171145913812682483298675485601840296802482131473871742723069596346473311157453853811916715194115621419371108650316154176987006767746567659278822315564039762598143382711353754482716774355605228590141045503741921949059327017033175214279268051497181467828541788242872319523210419724552778487754728840587495416193808847740367912133831156695213723390131787509484607304634114873405619549928154587804894283374983169842917257316677480618893338625672637022289566454835448192216141662183381558996236508083143345582444814330145183530700799671647789073559395100001404739277753018143070537141530701408914963728100191313379128545621137755408803046141898905818657999257184464959829484055621022816446028499183232055748778336068720454437727184689741055549582857957103877898650587302910296720731330039571648444931605610349847424073777170929143362824172881107853919493664843113677605982145161850222622012934275884964114431547299694207390282462169480767393465601324704342792948088451708071056861581366633767758588707030554547258334131273427164088933575848777143469337290022798146600954453207487063576856418216326236100667903710492935027443600531905339635110283712782540899962180815647841001581776734369141983249121920229734160099660833105617611816238239340844705149829620856033895146954559602876077566341296662681327612651245153651457233960112269537139672249798492436655677955517386942847126996961741083237959383793131938957647188004724892742996027562138383723838173730298529751833483532124458615612153096520203977703910590371321296771454841739693950011884808167776195506894153755731586709082837799121303471075951492924678947122657789372880693803100081443729141867364373526992019952460071202265730930705203712360533359762550671335098488141307895775084563443529355071802053896745365230706937283765703748891178520241705019826117371906440795364847815885002773111371439858541616297707053131730253299672884956054288644767392727009050735028526265730523133772095548198447977924090391121929695961757242869988800456552844458001925763027307275321989533551488532210753912234615793961312724485943731446863256789893282377573214463772382372245057269650097298763147894578184228998896753645448386417502811898031976593834737085396300884888019859382636707026085668701123273792249507032583220932225379232358945535750102658707621313096298095910736028603615147673931752204977778533490909936263838839316969507521081593780348580549643281918869663619003514634682140972350769888571264684094133764129407466663109019793061003239428376024908487073926700912350600555981916762593468779794972657254287598544037358891462878530477605214197900116195317538859869475318070971172710273856681431534843746462407537513560854487982533450111101226927649857634157792203
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 39 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851443576 --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":1100000004851443576},"decimal":true,"detail":2}}'