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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 #1100000004822901107 4,409 digits created 2023-10-24

Value

37610847484463783528928308567527082136826217349787230272064321604423529586531811896204552827522966728017626682048108773470973954759820012002203678896023214920408252753401016845479896282395966345191984437459491924665855069277611010520465688638114003618243883596458896850992619222277702500169083904577526117973772947426705839432457088172708364773725009762771534906829912780122238295142939274232762398080686418632541335942741316629600460470226887909712481429277846136006065393635103235953192408148414920679524139771808314139231095464607548349858944437813786447116665154316995550635544589790112974595102150739860004880261382123053140892485264138181921892383345870181686555151447546917590077512620375183179696163546369058067606198238925873728063298796507398695477007606345646828035945592490688886806100121036884327803111584924519176562399323288357658731994532231025305161780053251230870802490821378411475102036352735404757416116311998300535901420944538956893913596195736483089651188272789907413012729999069203508409747346176029263058522760716610873630081970886287008274911210697367987201230207756387678651534630979104779666274245547486072430038122199749496251691601772033938387893156710248947117929588853503615432817690650668625916445424930560318372104618028949735814656840078904716663025452240680821049789066405877069478140252130724945091919619524176148374519354903292474402837459939899775140051316973107083281571624390344506172031424547853064937796858176957877549195338612111056568594310536864759550333486621301485456889832560218733986832434718506603656556686338099443808710172485971404889322285045237904586673549205764196770158615543961224897361623399064725016102392065207069681398072688189913542102548296377846684268609889795251180752981309076364731013575726890268980206167333398220981713970275578594588926809557119680729885216828491585432181401062672861918090266256365511059202720499934380138400778350402336502761760300991785408326105374583432722375094902477796046961278913919592849427997164828345530415412560989475464243186195977075623279102667442614490321751439366013721937005123917947825113226259556437139636372162343759775380037971042477172206576355131764979131650557516952633158713693459691168947286885980884180165013768808403384488065454153026514546995735521451456711738888521285459933829717098588394485940500442224569461211852981477123573619860106184335731132908675215086813284291580750636518611583357734776910345251728754108772044012075480196735107634487775578223125371149031569991734808538527710206592129453216887030430365031014789914714944744721738206777136094485964026749560631871516130895413709993676410185255410317368426746245581387820793692201135499503912074256051397924568618144357584765880680737286868941744598379700623719173163567194289832699460398723506064325058118030396142892662007687623033420429643877366929027990449652651186094198655732148965151298435222902710788299462177944815954063951818470922413856103320470582788814704862881486059010329539181649529663138349306632740638654556759331051725264544264395653905252747018537124702532084130536282190100814109178575377020175142867469785517931349739700160819472357148707273863210871965544850354245233640451684289435926655994938535503157296618702734428822178328305985388916617984806822086768899249549007781231595154250631259435698637711911565143986283906321408678753969358659914420448954029745358099477846403877487234490932911923678740962784905017526675955919332728659999037938101738108741085178618579539844499709056567005344916315456765281542792652213720755419162322284162862473705604121421697071548401951750320841395071813396797746844928344582292756738462852393588382895043305670295551862734078476926208748788511375538132464175789431204674599571766263595827516278918003692353004158868836682770259738184809093413951651156044992015903127328880952856405614163053432107772875417303304186715668887649876410383184728954878594180227444028338266721774434777808298029476020999830553542491723012487263998214397751284387220356984579292454083264295407084983473360408667884940691486766942470852732065223716567454260342420346478013702864000271666654019996332116762113307120811833463555748354039081323725335773670121709193092114287569605479691768329952791637600763685234462098743263899364153638846676748662665149844897391326777661930854029955970029057800726479240455056896210167637299853980024245428127433976141874099510018650395344329793041349041534016557
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 4,600-digit prime (476 intermediate primes).

Certified number4,600-digit prime
Certificatedownload
Certificate chainshow step 21 of 476

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822901107 --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":1100000004822901107},"decimal":true,"detail":2}}'