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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 #1100000009075278988 2,333 digits created 2026-08-11

Value

38592624324436546237139036538701989536642104362849187022349869625614522195361763814718091508871765625419424194807057001257600394908464086392112297522036813887425044114527596287622476486203150629289351555236793788156477903714632995149923515645363169999961648299761429909226523887586878393421999941564091725677915448975448979677961726429426722360050628868761945587594486537213807064604544170752695822647328189888221759911172858318439831740893327030695350903313154760368857102529080843279747632531407539330621917475540308920061586613732580850126563010066869256948529943457306511620521907347415644775297858603999787371757037406881680961979122681219067656616059246756577548560776916466345512220743023179557686263268057860352825953552345295658690110021948595155760563254562857995743542167711753397109153339427023757741017903080302753083104046417271030470979344615813373844252016351990879979991641513971480234097820654386040849549003251776157986736703773780865063319282728683789170769246946994323690734954575464989576575560720116778016627692892961049179924337370512130978103097863370754184644023981071923867875014607110717735727524078650562991647343576054382454471566979736541124228494531025271029396360226397377256883655842208482508701860353315812718606635339584888651629846480074493858253609147977382698145559289599145602819197733453095026592506674513416899983438838303806407573624184491326629810331047164129030159677168731718466475139896432727104465452227757414277921174382626546651015395065426718668616978118534237331692543665582014782543945417336241181157198941112282467037501192394445622928676077736277754890884327125939128509689933909597074146566242143370270530764245528402442928025545680388776699441678786431712235226395561940000161603844164998185907985878103060261036098987247412781396656188672835621836645393988917337910524015505707556034829343854645182210276911522618629863700495211430493966538238364760273574491448087730485380585351305590632222961281800217850462056054668232041104697776561365851027879641651955730620620552181861169333754075354655030618220391271166314080699393430594079381900248250418400150658642597639319063745837111164130241131941171204820859894996307731284831615032339951119403635809311439658495224842142757982219416547658529918747174540023331368283152109615838950858983587945856231130337713416804161064676619
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 2,656-digit prime (204 intermediate primes).

Certified number2,656-digit prime
Certificatedownload
Certificate chainshow step 27 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075278988 --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":1100000009075278988},"decimal":true,"detail":2}}'