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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 #1100000004823772386 3,816 digits created 2023-10-24

Value

302885502557574301147868952766618131460092383566505423428805251105009739454515719369402959423384912545466090171306975134815989742142506273164923561347806876177275580071031195113883435080274026450562074409482164471541944435858298924691930919907960627263597144197980541601985450079873521939458136054350237621789729780290966275032548997897087525288430673795733036517458132868301942585585665171968108888914341386232490588988565996638009298794057946967401887878996979202036512294831103286514771250623854193397980939387445649770476546417930510884240257253673902325185086282792895890366968707844540884879198137779097055422576594233185392298119364057846624382679835070272206450324867858642260750524359400150415164352965868828529592837558098203831660198130794100270225112355838368921254652562512372754327988393443302877209730224162085219666284570029071061320843132031997515911394120742372052715988896099277650874863866085018901663159454784520993828630255128532257390845263372202482428569780986094105374054928716970447840296644234363636350311507209173571503670194865704416172047869349391034490138071589670401155185707660988400156981766224223311821535856547333352745170268787614444917000249471932755966455670970017185147813175840508261248430876639076211576689399282970170664697931259884300101039187548021622945170520825477248913019914367167085116754797712253833806106461375524889394001769415906986564948602120873275630083387614885682134764122879188922564471406973828649932506953814901640283500195361980222622073518237632974406782855433258969513474584324062057235187402739604791813285098903734101078471035301371244316233442090435070129508186338324000458183205207182073752594973398002014791483746413507912121636387791667078437963996305992058788136862413360136949577028820251680390740635500904475495871302201849207602447388039718676295669385056974528677283183331332746100348500295312285004665950137712184051873972012367898974624587496092507190363809066407128799712303676602108701840545435060626147033620415222167874803879827061238911532165249703972821142169426930465309153717710192252228703344100868912815233232766669445438805906841789102133914178061898023461223508829687111838731870835665193185358384551266635602426810540887235861119696182051158201933610578616378377298906844067596771861674597425206753445447994383316495078326419941273918290027939625279425238429798068528794062542639491077359972088976166276062421107614688614771944699954830197711782513632854813772452483492489004669325547206274868617202509228175501648584501219786444592693168560081468000768094472050799027183733898760865277825696179772079445722503481186151406735405279607213029230659555135730801631442025750744470276480860369703697421612208970655864306645392636861716803127146001483724036321443852379059843028805527287584587354184633590683955148713292975009145240624101651320770102911440506562687714651536212180719127970826039743720391374455864145878323918123569617206553021795924379695235336225292094149403826060439368948287320722302398404485294776659960061687272942804429034304538393137253518408281595286761633363934301653826644996630026300984394379176783295406151475158662853080409506625160449899756446026683385936448483657558209698183921285462986963144774611939597116781389040909627008247151146892488201844398111990026252821698797265750385728049581692571591203896121124388293393983707589159900521114668119438532555830687821211703453424862411467871893259662652504285056041248062901539757091023764411776318169315858647905423363543969470102221718713047048101251209832989361453729721177925583966744785551830650870660764236879997235377469980151789642620780293286262577729958110451555191575119319290953007727866495811765860004188980474374034472279117461909057373172500643375593918660016928667389420641874939344525598041381950105873288551596381854046490669076927743
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 4,505-digit prime (457 intermediate primes).

Certified number4,505-digit prime
Certificatedownload
Certificate chainshow step 68 of 457

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823772386 --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":1100000004823772386},"decimal":true,"detail":2}}'