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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 #1100000009126644777 1,827 digits created 2026-09-01

Value

368048325922643283758961026954495969298039834403675179354998969479610205504972000439872296036985152281381319353913747167663578964865126589951843087165012537864396211008048077617333626835282846301722721921827159156775419768620921965445460636631405084699674497413348508905373083633180732536338348999118510505572815886511111098427802489384202836308449462649794094179297061798864734786270543860620835515111946081356474401657963757986124214658750261608133199371388105331901669922714546803183002597006518477066545400177761818114289505033709920163013006505729923402998817868093173158293309920922096981811534970174711745955414955603691368627206990650400772960115843067558072679893665629706320351158635819974593315762606114557946365439199826156571390968478125519718208972639149283812836727321763078130474324201302574143160300698120711204398056531369529708435217969402064839940577138883347742584564126362636747480065696060253813605074397416449985375104087647324941132273456242314965559225349078506309020523361368120967447744735778141056508379084448891067716904462945360892266639959977695888438285874925882685642938986875215733718332892750737692896480389908287166532470562035604280923387301584067046116301445160358451951879463640435399634344454777345750767497964775341425257954578062797814910416310793730357111455524773667466288675105871863288763996336856904150819831406398029166205357898368213554619711001904955213727064439513215973527456477879677702228293533909026851062465839269872800625322903288146987933985241034617169787657334826606127208062727256178979411287205859671805944794132865208909874390903465357030644438508263537581568373611587926464330890784041028657619699801850939476694159252291274836459408222573111946235614310292289388665989289108499715097630291334955553387788779953120012430096209381806689318432353314652581807320613
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 128 of the certificate chain of a 3,110-digit prime (313 intermediate primes).

Certified number3,110-digit prime
Certificatedownload
Certificate chainshow step 128 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009126644777 --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":1100000009126644777},"decimal":true,"detail":2}}'