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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 #1100000004815174967 4,893 digits created 2023-10-24

Value

687663656082775056250936408677860650190660489929078858762517659455985856415664180922353107995829592110475194417889746587076063380728537718402436961844821444847429428801814188961754536319828658120049322488606185719501654635133521405201018366513008664120944210343998271586177701797242363910856243002728741169256725500848640385081544162725865979992681296561229728429237343182970343353770403755303998689990347417401273202579113045937673340711158432633686478838318169055067958455714064321580589272197402890279759304921532099243626539275690845278479134642426269343695968427528914630351796685684027819170332138548426795373719435674266565609667421420933272927771821853017589881592327264166327882129162963029822909515308182651276718400251480564525833378888894099865463495642390691270314880017515237181714127558621880141292547681702900913975111817112181095070707406690523874389909445490232310968470543792374197202069308565009505087169374729761779224805690816697071491721555023324953337594732331472067631966896477148688709371272668087697576878966309012334326783468544154872360752835402903008053626516100456761168565305429824023820292927452408416770998695287900029587937917000280154066459746760242503651601158411696139348227344073323379974495453419454239308854124634361427999993344236854648477871248995029332819896766454117863145389572599241391797729678585340490657515752516340490366778207499504098152832573748501670859083031535643425740571398669008362311800394045392341453809643443227703057507736648459670312467919324856783939098363578197245734036098587314947599317323409981631052826595443255019945666738229976025826301329613576699094897589778550678434236791449251668974725969869478499873177886793086456896488167627685490192400259806478387782798751768349496033315838847792592308170194031541332654999565809550858470552624392896099412949505675353354802329071246427170020435437465109791811584540054586455006855733739159712255174534038328553189725945188525534090565270013703192734667893110045239336093599663272954897477936446729323911422108155291118091585077549300069760738931824020778712318832076185142280197409463050806950807123396153606399154944896811846252714209490037415397118592543890559119660815635077831039292398968127794856987205997617186018964381516950918177359713042357273626394402704522568498301495442258082580857741418074791770912695669548643392407926225194852233049601800693006108034010486010803528036356940832298722209724330810044309891489984433838162955131061113275903607978255183120462536672297090175959913757677174987293884042794504569892611673900684006942084549145606571992258834398988088900323027806008778328166565529408639523262184724605889157446533095967901391085527578807932943190645036790627269266121552452970959596456106888343150624034193552003994430785353717290158079270233299840100214202075163116976417663273260387770372011455653642139115558509954119585576983432568537175000927255208975238506382423913702003846559431753558053294844441814518356554776215933129598944342027177156382437655814997405847387000897945511213457963031428966453759613568132100020623969465223978876703254195049203677643134605806707862826599581901497915944183000470538379940708541497437369244656282041514108082168179131851045671062371670368070328720456184370893317100884999823206771448118648942798872023914913874987919040709383217489074846648197084921262245214484439642199623668548671147734429104930823419736775333575526625273262314249859229017904811248552905730281038126373956094200172628627204227797195517633527300831447908748342610450641819134113039165422097850354606431072673195375285779255267452610983334023062525397885534479860280681205675093261824364199139760252769530275521707456733654351203720777996119520535373420062491373108754458805218472517764823867802555043735018809820152445741199213794684700935034098864694743197390340711717983213447587362909366388962213777475460998434154454987672986442335702923156645152316547009254008765096564519919111937904566451273622948943796641199643281838338620202321991926275293087877895276872136559534398887899975744863217908253951068431709405653266315435810478740888190074741133624978372339329956068020254518285859507413744134219003644150677958620868217067738064090553665358533555319886072813454613199359539071582871432214912499033795742573531343858516108164033348776627902883973432885342444975543467722429200036347827289327560237366216671993097784617565608847842795548661910408765354787873625822039348941474539408536602215459156066658313806156177177282249309911403608762482111464774313226325601384203203881172583408680983150879941493084767627576494199742900543066730375329136008779940574782587816971564090051066424444774238335930550045204901630505436276272682755324311071106967933587371563727122707023479569540483615647985479862632019664059013861290178121414644782623825267586069059498617340902859807013214678980008443467792027584298916823655654224477887653270019141
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 5,532-digit prime (569 intermediate primes).

Certified number5,532-digit prime
Certificatedownload
Certificate chainshow step 61 of 569

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815174967 --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":1100000004815174967},"decimal":true,"detail":2}}'