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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 #1100000004813477597 5,228 digits created 2023-10-24

Value

38281456165906179385389603713503641358415199175284874630099408305526002705850367404869183243615619578947032660575287789801078165847557009820407881196915313487518109120036678277279239210407694959410337460954638953618700956354460715755240850342512618741133343366166933327871276543228610324525651088307971431455605066290814924961811944888991437015074245552877552305458583380639366711056467397758024784776762729697617232533449963262818667763355740382075325083491334374065533374873863129008831665184588925955356132917090073043059523602319216014208709103163640088608580380527651137068665528154240878962511728747690391661352663535775085861469823107418077233999846631197188532294896564933842451472474996261089573445248691647425399512657050760602829666280603761013443072714396085291226472286774440044895739796010498224408443970451497729213914330911819620642567376455445095382069680004720517779579633652906571357184737032272432533709650769308908654935818075168595671526530627434788527501241179060711235178755478494421971825082148744646313946548932841811920391633375095709608548349182193084029699280316163093731035392900940312486964092026697403060435395313745899440249580264277439546992668050938928262079206706177986299226168978046057670570061212320385044011337010101359014634672119959468183436612956744930496218918269245032307705572078976181901963282671997137380252395254990473103888445910371547458407202216016248843309178557026751150144235848311858228868845589041911134108797960527305888166553089090062918089713787038709598092592684834250288706504284974503709750939346326394783548880372482373780724776296107068339502132041603120566994875814024090329496540901415405400364816572965668830665278045847292990357249647034490310458544567946460935590377126052749472913606743651801308503007852732495620505153518323666650616874329728689185803060284350973823069311782954152443379684492955943774384918195551748182447523981749510498411425097083603782096675373917159021510889773239230258239429675400386866002694228928195182358453889349944519783727841112658829626525497765365818860625523721703542214696856527543603553101698190377072271598115869535367671923528870593619208346544086094935245024335939861100466929387687606913401685479195194850006257515428727288074573933587584855470910899490785238040401982719286756592442050395338180045893095446923191331528930785530422180661402281006286234788960049688597859664906459458241112000161174891433399740778371708724428038594262966120089000007825371859067485416001121900671581869743762988984315252146467847553420680592539259996385352675943150145930895150479790648460048657610505474500436155135734840781327368459459755085001038378976386898131973394635578505443085414055459954597788048039271426800811897313235184051755158659741721915720901455238426753304241516760617705389249096023416921720153833161879178829379861559683094197108672193481994261760526627576268853942192977810348805232248926214246060165789395658197740661427498407583313309619076300986838516075535530703073272370767991982828755245337993572453294010024237887715972552123065415564295837073509443964305188663498071895049064529238872220527797315245159813367673491236857625694097082278885747279432835841368750975283073681105609971540878208028247046008337500038680550376596881235083053950248462571106684536525065521668449866620496937710164007850863068135533370511492305378401875712774159141685374893120444385963205199288137701320153321334777613214692326916785212790474342382563556632007900390432046671356309819130701053510959440467186568612369694013104235088498667334126978675219995983402003402420062123059109150987251734889881330941408379499238799357234007047448843261648054372234958049561346203365685965310683506446725833699841825802848031133423844700081727657364608588985824301646313777395013330873727754878291624520435730250222807772059847165271937574015817404777253120883662655143892383398963886541734140855197499648692192578354004099105454038086358118457508435909534865443095283612431881268995173837144956930526319353584168853175531649837987683777281963403388744993336862451988136737416279950052951058568682918639774542417698067394871971495259400801106675560530672511100618652153591797378082622559574220129918931603981505779276693516534871520628102318748711968618779863088932530005552833163169713374736746453852147225617423673959612452785967644300701630980550711620247252457212643602111436194500789759728380437127796571646738790956600738900448390446585125109898782296531958614738559442439287291326527418517896882581657964117754978275563678136142812880942260652716397859984043464120952704655855077011272542400696072074634663001351909199582199231391004980999691616875179193762428949802150091190058712262990969258205416452591447048076576869343169879657043615012708925914400504989986686991743054169960458740497061835681331204193979637144159059568838071262532283126709759134450498322599980692435949667610533583851877745434074032891322942104503831392181715950937158578902008405923518769739492192133531762487907456907436312629104838029911484619303378637056742377561412829509080517895783733872248012791454117523934312411578888620984509442416669843529562507895737313293389195605843865293523918816924100877994020498377471115422247198603227902276342914822769171
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 6,356-digit prime (658 intermediate primes).

Certified number6,356-digit prime
Certificatedownload
Certificate chainshow step 99 of 658

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813477597 --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":1100000004813477597},"decimal":true,"detail":2}}'