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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 #1100000004815176016 3,593 digits created 2023-10-24

Value

16941020984801949570612638837109220482836089299995885464566553978210840658246637165868689944576490078513459982368873808681282449019609988265425810663878253852732539037935061237412620293333512763270220616526898202260935583639936972354715521082590833966119583577696529713001198725584541597042222749016244248082938227735254723907312202170456255972307925387081696785879036227706454120651788404521024917850139551672923997958743199938408620917160434648080277367956095689986277758863936117764224785379962804230021847330064682502969022357084210917265328846342663944852374756791965365968133312834943382817766869140658381402729847612343146538346597817224435087050380590435219841142157247799539808087945844441799950489458285667255425391438895373286025606298098788418247446996327034359155687260451579892978249696737632350421738779157314681859105207247096865157820528962957519964290126078723296634868000325419211393787091783026057921441145018398656511902803111947378508005653267081090515024552610200950153118281522142817509296811996941256732550577626765491265363800909249491347768727295235297233377416662183163797336851704424840505901611884186788337428817692376738810007287995599123832824904288636981864870108406681536074651297265397002617874583135841969105466499684737024239959240335289757546427408230304495203370898781263148744323584636560794165909502664313344835337352743736580826803076099316819783159669451549281723048759241940076200761318637309028103907193704443809262035076642648252757743108507210262614221850383603734792215679812949969099244063494857464275303804520038949729932631088726017008691879095262745584432740476642816777818890811583997636276994934419971336095033584342656816443824910086868039179994343578777365844573727093253081447610463517299272348381679909970335213438783208032968960587543331784666775917220551075641901497949104849918749845628749899946073456652965519814535136516027088966101733269161781988230566259570458430747647099923567747340691304390926514040607037766400551499193960365205789730952460050352932950798088086110756109405795322141288811674029760807752800914146289530907388744453985290432081046598235874126878641880868803207268974448989099503733479548130967083463433333266000318055762979858262487441917451838508123933386156610716893245206190016162890448319950705425614819568081181427605905529016503266720282167456447169058428827997513367295485517050996874209770218623924595115984345785136057428607561006646956869106480866638989579439448624578709483079002493506944754583435725186106095546387782869451661117229577116795348294262103635545105712694938098134702085109950648138602463773243418589881949297646098059633402957839017216453234662640323274435117927801770361867296517014459513173064545530390981469790653747499766867269546324714825667028347684821683724463255830085801941358941984775357015347763559262444506528880752130706357440450471409840478645558335821850798261863803541756717731137552321843259464843618230399247423493781117292318167248000281706504777614280336920735808899179145046529353190274819402667375294455916000171793153210619188468446246721295964863071876113391470822860570662929357485533574501099083913077773932623601358248529697607232475161583461071943193580317288493856243846096496828355751287217797421924093185697614683840014118864875785854268648652048489022275846935068000968685743917445119844126686428683255074800159972660695006603362889990100634047211951186021236786812911076373754576344209888535470293449507617387189241414266208527865035099957927838665548199164815016199005652692522218771783115225765438740497051674022247289703369734944409311052976263377
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 186 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 186 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815176016 --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":1100000004815176016},"decimal":true,"detail":2}}'