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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 #1100000008814509357 4,046 digits created 2026-05-19

Value

18145089959336336049653560991826898860950356751405043336559292043122360988910848992505376233280448534401870606016081066391593297798967331614590406957884929017557834604539980665784689579514209000858680065914364176709966861906651524497913199059096946861540317403458753596754721156795521639479757119054135716401456172512412197524837745645969065355826655586951001267157264276195706315419957606967950597964633966627118887763156807492402457539659507599268357249139130389775800048534220940703922344329045386336986580999107253365942217439456188225761047367175320562588060620269755930529893612734543084708375569962569919299225366642109899302942135511612301840148515742282904895199549088097422892318802726852297337631816428433571393498525424360828109585238366126972000991817800830380276145751373422991659976575918261312687096217537610053992940191166559197211942428615270858525531624147401717296260182110789924903434919080025011670522649371512567302336738551104989250473657214607485127281182482658736257693471675417285163352334042305612411335267246544037006616795705915778761615930463518617050560769621182941726673387991307147228782654930466592139655952994073777713184404209252300585179417873824550506084170320801965913060017833909177217174942724072382283548014664610203709915813781181832413731842007856177688280584155162993407548031262048039844303469982479611440003755540021363594640399042576958159355023687996215925014375544885459213803849008971138116751393649923885978532744825267542248759970326744922264518399063627587402154931298491824973441194259245722032182084108953443073169401616050261878801017263426918396879375595553849673834974773046344250363347204400918367355034550828045471565704338170819178153537870860467853633405456213997808407666895366107363960165622078615264395644919151093441889942467856985501857363654145859548574300594744433975759710253384813581872610583768536439856341902161949673838777074724869427710045690053067931768572243507804783753504823137517846871669895661482894846210818227409000539468940344356194406916349828136096514287902894809493900502458777931416483105544578673752511898481565371400300891774443072729786025097441749060120802911500319682656057713939354748275234483764464166944727541593152577684095224845254306176331725843150321632468641018219721304619743821988371397038962918109295626475643849437977464012960442215289487553333772348011007071678976836960207423495867286461314077051946752065073491660469919874826176739941632856853132850677497364199070170204399916879658441790320238229121139996192447864569996204706972546157887241943867807767555508876973721350456189793274190087215000475887283842022060328847855258141492601965182662268195577609068084283111030849292019645521104877816574940923792631229791683122806792647742367381536183944095128481833837527389760405399718303185478997978203883746541479297932961371416093836975419813105433082070800053697711611961098677451288180089645199537587973018110728429633669494132754816532144298826198962330282805642358710910275451310288734977520861029387592179580173105819957383358221568269186899884061413600966086158453815931363265463664743902144815058865681443481269661264367622149137003598914017835832090043579921275605060040775197649072247247034908977856645921620911281625333774462452941886839849617973131168506891351506217335002539456678576778028943928567082715055081902041632509703602208486595975898254849244828552607721947118752272735712141245202472047091405382862353386336216828827086385824974962275642005172341965487655405204199587899036115911516922451234783656426788523964425354178802517981085176451245795707982034636992082687835481367174298224266693806691392576858178311659069997348964314668775737992448888476228779239259137528382831574379122011317509715882431817264997102058733588551176041003199003448296410950844874541467904245527229233581377565949485992739452124687976812549393239768496534635812404856284513990992342863948299667358203960854079441481108335787181304241078403843328966683526524065684080004870551212907681045951801808464675051795011270022837413385360746226857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 5,244-digit prime (331 intermediate primes).

Certified number5,244-digit prime
Certificatedownload
Certificate chainshow step 82 of 331

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008814509357 --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":1100000008814509357},"decimal":true,"detail":2}}'