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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 #1100000004817633956 4,647 digits created 2023-10-24

Value

300631358093045421977739742058517245897083609521649107144329069585364731364680551575342904033111886505764838462785532436865741551064482709450283529180181763207980894649748654672420521107041184600471064549582650714777742294315454290161542698869499597945707560692077154776718928160064728806926489821115143088120574409871882551216297096556719359711991919862215905857023925460328459703138461087952424418858570354329798172357707930519785235260108025122553850664404065025410966778547402059431463429097860025334042388356498638113752046771117964949841612491922848724116050718240896836716526548417608629056783537150605587203887947097926093847420621150838002078102904418515461499919545917520964757480897208369388322464044954901421578768756594344528408924479977179257872300513472949313155450569665500547883654162818595960071659413777083737210514192395972504989634315730567225545380036770936438094673626096178419283046068819012714370580458554196490445456598370146616966774560895308641594345852946120065248566906041151093191054088740274802468358788359672548868502341488514982798460102922451484151959147226775967114044594660769674014804311621566439562347558176388025272231551707320788594370561898136269442096114444386241490294449930188530588698407683363190036470487382918949940827891948328177157248570450083335228949628687576215194912959016668723631301473470060122657967662280547933927753113144845467515437807300443013097092342439686240325901161596784673212298119066273962174745353706747774163936284810935818317562792604634575204229386975444006416362408910450895592355535949622298516690582858260192073384551464413785979227790667369164760162741155950717602385756874821954740141542726768662671785721194905009741575521630162349101080371047102893475749083211628940340882993930073196037375279171413999050906271628513008811534308337086701157685366976700107803403992907460693483602482776609873104787034452786384130802090861900032099840867140786564542082636497103443222210227538462592793934524467951665552810179739699642070182005444705455562826016864004630938606452150020464678536699103439648778842258404963366378633247204036452301719958755687044038926740736625017820982362177877039293698704642545378133896253848483193788431676787927194245375115468993500829046215149552932879044145659390573452482887526447885543585025365134673123145131694219085678562397604508848907574530358248996314989804117943963146249390829778083208506280962966438179873922185722604195710128733940100922310942077657596461778544340546463771879128003396605450860927448541963788844776004659401146768852347996124198304961933858341666881392330378332152835522165464584200003593286311158651513744242989076479198024837913971207375760671091159075201385930805469819186121613706296681080352991898037781905139969872931908463221181604902239254771989730682530113548871665025827386198286252977073650496823382805290611160717702005341899080017527477670206586199968941308076741227591546347338860633285860177029591444231221233555466605838435591510691268242522813589539610247890398812398994268394399203183127977702540359944935697100295379509530786779373849129056964984000148268711814479877999354682608015727881486890753322281349745353805224715645390474084085185718594006554875134145552975097051774705104085820171690295069846620050793115443411704419938216528148137468759539075239390789360103275388395603970731510697964093562444732267797633827283198969725646057994301038783050999497206254508858215188997077165033481854965023948561034794154211556927491618048499396896867232183637453774453151453543717952410135696877851572328748661383952833517657317550531642509674596099947048170774290261021981727845337481787194503210906350562151616305374437365179081799238457493583821041175180294144145273448208153136816203464789910136802126720976475733994262667682319780477300483161692630619599191244349752206039850794082185889332359936013855698979341669854902924383108527299464750052981581264001253783011189506237473057367019229233628515620335787235342842696160604573967822895680501371255351196376599577488646125475601545316716310096693601981604682209172829748551367649443529338164283972599930006971604122147397244311956316341468501410993885328592290122468557620189304382217920562619380749358219411349407342370095894745266938001595767838299903146126375347902745523353665087738384290780802101912431697485587646364814594597138482684799911513249080321519134707901930164191145971622980310402481870272912503987332045046992515781680843586224942715216893459967195593890946980641386451416221899984557972382250292660852643849987613057069609995580178749433909949145768241446445365153329175612721546702909075397320344466764246656861069393966899897
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 5,180-digit prime (607 intermediate primes).

Certified number5,180-digit prime
Certificatedownload
Certificate chainshow step 55 of 607

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817633956 --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":1100000004817633956},"decimal":true,"detail":2}}'