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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 #1100000008815873142 4,714 digits created 2026-05-20

Value

4317358742783659671809366909109318811699897353270052805153997789257402418871082735191617190101500371788904714721404419975212018065942156153100362876616001148458273869920583559703594641248628314984045732108815248063856560632088045160758825490524622502688647952756844164683742093675864600531897637118111548572197895972684600842771042483728747979756404538140264068642472300952289827031344819874728817579671558905006002436856761455708625380786452115249457270314493996723231655328499352120792065709980589336028362667197839060656877192691231797185523156245234413704151730138428137789547825907739054784698823991482851903518939902175132366473307973765222304399961546535372149255422542875817710780072600309542358179465748973687641791827479927116936177078682093004934658708278326903583437370860799669793677069194998166479643158713360726506949321487788441686070670479605840724807766579832731746695167063226772437159811091960845640733189387793054321343009140556974287071844471190476894463628614238457495945847692870236627553170520028836257328120601430740797133968336219448964895938336314787554758992093906394845456426971307991144015479606452029157838476501525222145028360746305077303841818634013130345508456439803624813017370976965355169369564110803200172134515540422578816765832662442331274644650513064262820878438423675771740331896416313646204459202719740295967652382610850415423124001331806460848522224486139351900567390422581302310535535780850792498703573481782083514480433211622491954611656104788807686077101702261773289043662681986232474200793233300995627367151065519535188246698950044536474576963268072280607397210667329615987052286052468068086049779284856917444083861818580983567850721084493536204566310104227779665131833994755547025626866269069293961097578472449747132770976149589653994441055669550580526934135118870228073703910750021993496259425093914695639028719986307586753817420345231623192819339784383638628824183598523925032220683291634952083754138784488409733714766457358282069728473581207174017355030339185140299748852007942896944271540365879645330762902594254954789127616706419391275401980632172171592696905690307943184004634576864226200679334025616561711740725620117155055262904990700730189791635104365690948606306203197203761325032152515646255065644630535070617946258208071556635848850620842254838062940928998812719207317278897298274618795012997278777135326906947667671453119214250714627590232627198752440067473709453913278729324439712788551399766903150398734201323207491257120978535321508220763717123031166901911710305616479498770392272177073776323622973933837786927547600681272195345248768830486275070317008213379872366686003717868171235275194751476365219574116323336532224855164692017580914148262267001888761317439600737573900610884855898738319630339486917372977883016455017314329971180123916798693572572866476026811332720109172985256256525189860946434099982221899145463950877744944435292210059045957512648688282825945297095919829704998046765306233626382878970384002312970979737645191755329892806165383717178784538913291219421791461330262064510244825772065689986130351006405611462681832005136196927431831889052260730312338945644955717218712152584455993211580570371948287638943333665322859268417023777739195664931059256841557208747707866342413427508450622625994897908333204741256557010871870243609724710918211895260786737521532527667701791640414084962663882054839129329190645531137284806448438919509835606319155473647289143689692630671098243597364734293734217625932000953040238241023667600093722178932713466770194115036704093726944286280262037137572440056995123710231733566969876132497849366797716085031906448132477351886519599098082911820893615283638195678411774972402199971742858853644579083447669792253367738489739092532319049351196928448188693238190016632989847599343447204967899235521918659076459957861486258926220597818333276057320495100519064929940519860960770032662889531862354729918369526730591220278670438943547596047110611553112879633825973110068594483552418026264639329333956701877892761386542253929400378253730970300222204681257884215625347834565332611733110433239871586937604702703236780755787148425030414424862158631255654901332783735195559191691959411651014982731681011908725804660554035190657065854101835363176040596091443800260202325574673045073113508660162595000198086966677008212556011531211520173048286846384780816838497068646854711294866218349672554702372218826158049845757051295740232501882457326870464524448019073040534799351843554547892455689979258892923082247019704421003382359972218313626167022413159300407877600120341604883689466419731672754137557817928219364111879349305543481723955302566974569726174656131129580499442411231574930302498724852507133952942258147142534318427101
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 5,209-digit prime (325 intermediate primes).

Certified number5,209-digit prime
Certificatedownload
Certificate chainshow step 33 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008815873142 --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":1100000008815873142},"decimal":true,"detail":2}}'