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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 #1100000004828082977 3,098 digits created 2023-10-24

Value

42688461747291254833398645176332196713114858078583997055736700264818062761749703657257958578886089909414641165182179183620276183124230193869017720327314545011817872611060796806418749768139075902677056152382815291991545949841121256141634720655458356346374173895559747186230907070288466950426721258441013368765463681704115570005912249085256365501984744873140683969386099340347504011559114519642154789282446929728729557115756540074739270662047463677708781119309076076637685997921361058542030244776981683468072838461678398835081018170074009075399988543208083930604424270281924411094090012805556013372218429101097414192856672834369159267810832126359903619527935684809134923566579922622859955482617063956102353146560980904801037224321950994925581643491954922493821797697488265804092663350410619202611584894578676647827515724183450325859454982061182808959558832538470687136816627315844858193550460846048835175298743101132386095903688406807985405561538195361429654490735677305994348852364198190175524719955846211351367074932173605840794884580135914614027791905964046567642344859525164191669179501811330091636836710737321424298502568571287931273400662183201675533073025761958286580648330969438606029008671879637603060484092518177345345634436989278954352596333704108137421716739633626064202850397796631694807730263329299369842752872860379676704026782364969948123338262281396352400073585786455334216402807214637947467524467219636707182063541043817319702462807785046235061173494808524116126057462584648467278396039041226620673483994812044774723908412643604109859338212230485230938696483656195420766199828911954153974801805950085522682847788942259214180032496105519434894683086837575346786653002238764895345640188245024456045117618510055548273215730982238908690589744227115023594322540163365389076461473336265475241565231480292350693551440252479533181056511462306257004923250287743576224220531082326287302888484962946092746603685878760338958156695329076696337544756379740863748172066581876290010151211304918992824659449954492440242194081440709362753419088914043730009120771120610056101464631491305494201515458690602485579515065636872773246779808806005364927531478535969354276173710479100239075801128191192859782730312910783841616682761825206927557111518775930292976881210413540882573417360878874103287805190683056948356963748352378549145479167977756218950598075989769237814444996796157952159075421555355830664628336363391628373511089514970178265087541850688492076519102452399821001035634064865647541681323202974132585868295431152846318878103294069008229366321610228955447499927634357226095263444716372954880077983528585104878712923753585538944818127930291441095387654029732101410289384774379547930998227388524483613486754865972056101764341784018617927895336391691877541902790751861455406133502997215769608935964151002200908582827155182353781850783324259661790522788516982950735009695494769834111261078778056553185584379094897878485853596623053062571188893768245573155630166431712104115272768926444614108938424631344935200229216180786595375906024802513118304139466594756499373320215410372615598131692729378330201
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 106 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 106 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828082977 --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":1100000004828082977},"decimal":true,"detail":2}}'