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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 #1100000004817434325 4,207 digits created 2023-10-24

Value

4881038796602155106030905752884740681417058571964854017272915263496425608512893445800369974971230044265218355342694825999245225800019229792092500643626580491464674549264869156192066177328497988897828962558759556743403149785654049713915257904939281461920184247619165375024343414176355428779099253254379435202793781366786231481722730546139478396520712262349326426594880576354283192525279711936703707872036661844555025200563000645215676669949108858955794363578506631349905027141302734624870596262238489912688255793370936839591577441416634904389408678310945074581723037658866475648327990152645988389671369446386827862598408733724371528682294687020274094549281585824072721198733953895666375397839871700281550521148013343435124245633958639702829293083078806146913432649979017971741488283628350445667341266894430281942401084342396874681331281647137816509469716952166467849812030832149972505918931054386379191740672677539089659374669576933438486342460575710653357986549402218914271039255454446284384238000869976575218502593185783106303767913090642412064175424002425166652541937740389859826473791165546037663729403858778480881390105110569660024326520032781027300753092669783329451121803714903934656894360544279182078137046424684659641524415382450938683283810662815645311236706786034299445246409627007545335515764325304659981890869276003768101957685448835659763565631458921228180148828028051522755673909358168827850122420052225480675858870480775177619780495328168534745948551243230250163732960555772258030792137963018463544332967928882389760550641064759323803641622485974854587843982373589011723857281501336195125884674046448213606890157808990170333828130071828037687281608829904873305109628133445704169428328276299730995718587537179470595515048673379194222544769910334890635656538720420148032445259028774728694937392609291796288586175821031010492953867819345069041622779662900939082899586820367494870737632959127890255232999675075317223979894497825372022111739677283066122587094438265058956430553529563204500578821598992481870084588407065009164466755653741250542106983660742502710038318775466466558430045583430584418298922640380613884765174880617075258987939248880546248576493294128845286694115948510798742683307080970842478430986221497066137412700386073315547672361725199820999160320028064366174099857946132621535257146430396279242280122813216834959556839447542288548391412087559867383401530881123348481836299598978390201057920955203715196220722765969837417876636531496198152001559481055414049682188185921275375925357736629431953491403183803126462088948316379646557840016853271838124065877214034329295950906023909206069823162750704216934072374893814599862851546863453331311081435402009263109590871859297791954436740907792342580060074037058727179193650423495656299259487629541940283503112048794728082023450297559886008682791844285004935612460612076795248283926355490491696032229261328637062645795588864525823114633707318680142701072874445129923373947944842923243906361625372225794707167109270795090913927000004964490393824110959091323458629431130000819221285860666305803621416973141610076654078660949811260780623612811984864144587501501392814379612509342590709452046696991482643609527468512477771989021266346246688813270412901404197491261045647203931654818468824143909863893265697776756180198101342712549877656264778751854018792671245785059106518027446404296388949429280627087019422839555379996739145734249294788764310531830847288914226632891501739710679044255593904441945451526532123960731772642069250508074977277749691158739633143176701914577945114638570765291291767521646347405231643793835409403687691624653954516417268660804616048149168544009386788538861882285625797016863061885663439144786534315552002615556402714914531617941642529918217834254596569462104056652525110976520560815079750293944329110969855707562381082445397781151800295226794477264867029780769814328443247722488487513985714201923594390090599225643006230123041723700273121348337705148899872346592905395018081533716415923114545632216678822477660781321034316279216970026151490034673589714535584704393805627751900396475542906831547714942050386682367801436989438034248367715741028422165805277739145187662575667899858057792893508849225755119885400139153
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 5,211-digit prime (526 intermediate primes).

Certified number5,211-digit prime
Certificatedownload
Certificate chainshow step 93 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817434325 --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":1100000004817434325},"decimal":true,"detail":2}}'