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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 #1100000008801223668 2,348 digits created 2026-05-11

Value

17346795379377166665031491277724111995811943602951494675630252377884987367268529090715042257963577461091625445329783002585382678665017316026103364382024246711998749585414745683817343501023835609279065063869239727968359031528315819656157596923105434836717101967604446297728994246739777568303689998821694560950410251048126624890670155431407196781668916306930032278953593775485199705957843351260831403518862380761032483198292450681378157886095804328506194858581233955413030855695892935604218405928762467011672047432989663290819171504062160210142450034756836513901862302989831560627636586845005982684326908988012870742604306080981497699075396179454855045809892486383887168973237327535260421484070165200226762213033830282177269093479197509962441720622745703931280717385802343966640297285572524275492951947732220730787119365992796470744940784218180402248808757281187186135761451147688799882872609368902909882247872750944956145412007279295936161343654229091759778960872677523407122197391471229886757092281544290343380107717083924058395505858569799946843670373635371112071343013963417634587883876011162983184313473953788171973798537568847023890940105053707648095755983550038182480308827114708780036060169590788299082968008372509646891170587483654105351694603259356804435915105110818858817961897417238901320662346904836878650219925521602885977211810731244579896663140207010331241105291923846040230129770650963098301108557377199945742601654970150650634709150761503749649910615652744243216723310964920329658247117906516803580090413220198158789901390412599627215296297669050797312752459351054149789766598106391076835568537985072746593651177639591339260009180077754301047280313873725848007349375394766814523437213016011353044140348316895458811948215177330987122633076717963117346833963514300877245484745265134995923448069208241305232647733284558021368476252504677736002630508322243007792578571550275170729490238425313667242218269592476093074069033513385265915085519070063390535405254411471776937248429670555419200970287263515509218908826526645957675451428033705123734907621734792698377180886017868279371879334325108129053548036546549410682334127224495922007020744234472465752749665959600663800667710015198050815071399672296104317250266402853821506162394002008314231206663897922929217029339337154332126810838391778506266225253802145790184825270084505260423083363
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 113 of the certificate chain of a 4,069-digit prime (253 intermediate primes).

Certified number4,069-digit prime
Certificatedownload
Certificate chainshow step 113 of 253

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008801223668 --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":1100000008801223668},"decimal":true,"detail":2}}'