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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 #1100000010597897399 2,374 digits created 2026-10-06

Value

3654311916884208769322225287654090428277610456407974105005735382920131644203138892906472234286770445920924966897712530731793959370150044675521749749814412167632202923212468603017363405196100357732758112961500391215773969110700289453175158283465314394147478113299659830333703876945132834715123460834472540643555541666298395059466700764796573267062620169952234718213286550559413533176395268225154243870402794602166098542292321939584263616043908873572526906941233920649603275894017647113327030004250047887829547849901821823032950872864985237901240569535969414436280838602339760586763070643544362035462417898201110980636291685951996525487059183069078316714848622426496670423189497650068120071891165329913752883742712307282634504460092311260254206447548396707141527386467620398081471459016207282814359597106196284271327495548161369236266382018351677647280372268282958668636412565340194384291411595608009517217585608969120518885136643996017897895724439101401367601788535085756097854019181659576830593769858573720686767730363864567217325464148560043798696592836321201484931885213141756004237623841084581330883926432248508014674689892845538706685969089828756355894251474700474393919625091093120041525706192075224005702443623081285669893899366564313726643373957095907451959143269500667730395426015022455004668834708875674570232657753524705370373950483505386146438976869152496447571007540522322013765587259017667520353098992989853432750890890478117070980307921569391461529045074689229214469695369075718921736224032104412771929636144486927167707501435615661892821754648713001369404501337732344240549458646735931117282052802571643889885593996600802792103257967731857604315939092504905592948065569329898244383139897865420363057988608399943802668136573048544015469246398191254271221468734492743716336971299491669367952646212982565602023059612203228125153492485837138409662765386684378253603139275066594284757886440281830662930801161650532820430603476582683393426843169323735329049336322869612831213106433876859752631275728921293750538744212146316911883247656282242627560771106866055348833167134254580552160536323057981776174779476603357595547069643824301280094448033308079330022187418845574950447296460058732382752074722103483812441617705845426707203339922826705437288310960977899734796589580808093351781935774284791498089982043263913534719641839263721968692887312093910196437506392200249
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 3,195-digit prime (230 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 58 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597897399 --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":1100000010597897399},"decimal":true,"detail":2}}'