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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 #1100000009075638100 2,395 digits created 2026-08-11

Value

6231613613955101596800937949407438207256462587892893414924009600632821586592723324081074241434583133950504352224068214692656331905148947604629042288784862352060813733329097225447928985185234832236048608769443355103097794476306051150317204366705880469289452908903047435085311356390527296009659290300813745275268413248041453050383097847525282028107650400296759178411292474568421998872593768098436519701950939424232172984874170548536482809336364964302974274149339292605440740533767786266810880126736108547896134566969237316301906882571650898376026363509264878304329879495322006719188337116095293376796289795391225995413645672349273814345624052920032397943548572884087748023282462682058449596106478742907130485721097395168322823154873868124880854195120478301180890014167699858442036557370591543096617373651094059214320976428014857411368115188936040807989056677842754102498129266614119686725415201747743633929581833631177935908055710739334904046743518621365365492590792897462332719593672929442509210669875644267770367993342312679449315856735061947414845605726646232114378925471124677508493975771138811241400852282311194472813255487409517271035011016313214122386465055298366830387952616844911532120951068031451240713100402643902019707396922749435218540421022511220721210917906863270695831603833787564840122751712306695426270862431368771246932830967414293230718153729309274038960863055380626262687553335322520286392883104410502137776618276258925740573424115443127541424644466154961761489763451099606138927763104754410420250305394959459154962948742967086797562535495247149246885660156158866783467756602267953643730559078212203413963743629840085029931195014402867330083216179570523320778522252273906434606661803107657004551355029107913111936467237094446092424451325692807482541973903082888394771935813109129288523115254683745205722745945073451645937836824380607087160019053692339811879429704785226386795465309799671723169382998567226220806985706255164103540083040986996243107485888784904321658113557522073280535113981483669403972301595843399824316233326102531741284608460956629825917586684379284240022500554443078630398328883734699842581151312696066226234714420936685268838378876972366737462605095605293198578469772038528864981826542023653295311412963837806487016815565495731692368169864166840739703079879665050892786865813296441771362288775302049490541914320546828328339533418170064386470739503688393053
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,941-digit prime (216 intermediate primes).

Certified number2,941-digit prime
Certificatedownload
Certificate chainshow step 45 of 216

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075638100 --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":1100000009075638100},"decimal":true,"detail":2}}'