factordbrpc · fdb
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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 #1100000005814611335 3,776 digits created 2024-01-27

Value

17855668350965397108623170617132250285741541926447687678892133139208066801915464750169938155064357940230521462876350588499187176732163960546570239014460780057362196886912698565135428407286678984771586656388018322163184798083505498167584623522390848436015911375917739820257835335688188786166606396555724667246280403751714586786494505808160640009054991561816600612507024533843008366312722440335878149110205968473823923412570327627057369229078931786563611440761785474113147826051396649514520825761735554389398415027439094670197314507610242136478051471811254936614589467297909180395988169704990022559193326475580628509959484203120729688643718871084373310788001029934512581134641841766800978520434297448550619750333864030919581653581457299271570801456114238630895447485872542904052374612585232392296719607811324866495988816916760366340058997163909878717182562705335977456365912702672087977140980006703557936615221072765836390696784010974051539170978123443452612186533122530347116242286551549435597078250439258376247180526063035629352928263368803900187425636814334564919085153153886214094496796553188368301688043957519561930488144651143765668820264009227944221505371779674596635479322504525014389998498212694285280739847188333431557382753993258083484687675066693522443385761048683257125413549045416955192228706731344299467838635606551564318699000823027898464476498737272233135901668808606229723694948732490870849501606133192837609839045747935425656609777267645379567061917700381751256359510048688893171061163591260603277342307680482856702940838210434888130782875034760598976569302525534254140405667805412687699333849066236908113975259574488349850218018794833991416221758579320388937614771591783589990040680208259026999150630493347646573784542245382143934138153325361894334122315407967133758225717834351362063421584283635662101019896132465550702789953784999639431986610810421872089778158571780817762610689566298391171271733265294926622273424441801804874208747049875651901517224037364623092553106563306752664546997701716826437661093196069870416556017443700770213991325855026783397978021385282476369846075607540221534565701273152648868921803410022178512451906898003683709390862522146206574551496321361954012008762201039752760725255209763721131597111411710875002247939650270096783528090677956973254552254185990336041894797572573684729021352719742144400245183721269843306106144752374083019189616748679418721524029412419802892368801256430402454214877908720068520618686041125530050739224080231784194179058130737842125821564039434866481876047943439068042458030342479045695165009611846516402755317608613294420037474306242063760854016313460621992295226526020391586197549154789110614288982231245745059791351061976245522099793790818873308103233148305757018117730153978399957515065060499803486414984272722967670978176011485740741929959530994644745539596975088278381533510543295681676682993234010016432909735903682566398143959146917584928725271046854918403831088022034968789099228704400081413309452074350048710487002275420725425207573777570790411507807864371222275607101612803498588665667996865389618518977631207479448895905510051434873656140616672251217654237476347144304026538849813362933209993858949398369671115440535851455401868279396166913357054154209795402739694989861520290170730422224438997375785281439181738637867062789252932426379567879123269860898393183244729632532314526739249853792970467867855987036215504525427744076314264465439343305881388450222855566288488149596136839862640053380103295984711281367364317431573005277160174947486412676455378257371975949816312282689657569419156939012967373651157189316568089325416890415647040641511007050698364674142273714306753088898348211633650222339688487510604904505285824184042929744585953606234436729699179249933729344676988061140911233823051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 3,798-digit prime (226 intermediate primes).

Certified number3,798-digit prime
Certificatedownload
Certificate chainshow step 2 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814611335 --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":1100000005814611335},"decimal":true,"detail":2}}'