factordbrpc · fdb
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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 #1100000008680826970 2,533 digits created 2026-03-12

Value

7946356833850933367382004459116431945549662469941283959039688375419345822062592510603817671730901727175065036360727960781089973428710827176070576241987740957185657673211467573122464123513953405453435868397343685123690261621300863408048156459272778251235856783468266674654653232909001304500919230576875401397650661271133985503468538372731895937730283195296820584187767983432538831019005696438281622280851093904920453220673014157333571873450010437490441888982228666956766526551834273369743854743376578672518141393982518596645017805287412817915114878760854541195759892419723507859154356539702381516851242215353884004160790267659843129662877396158740374163006296854880330712654145587458739786237641107107343224783656783069300178379704689172064501692804291040231927437165809838896933330844399269993035026035609483852278035270377829542119393066501222907999369514197146350213223757339217474071495701834653883361696429915327350920269426860507570866004391707302809062654854578710060498831501449737475745009714575193706985794611197501191981345951018514550439944429930976910458472538028157455664466370579706658041645790266329286809855280676271669900284667890555897120113376597767811517357300269645398530552554947414295747415889389886560154519067431041964964994233624565836669058727041197594631337367591280497479623336518553764695122608659340668956419934378834705283891173151645877070307006197959934818038880984447372363633604767650557514664236193368511839684461846911909834370400286202634542530709428151546602604708868615650427203025053149280488610147085083116230668704525887326021925497878545296374744194694881572739734742424776560929134323645688596445382246865789027263707910179817628937839149219752694143588443595897038163087775059865360908225465009184660054078503926913397070742969739929075942569005888725190652859183147554628507959689072543395292860313310449980755896030236274104946564169116812115643013029217168404886434411325465583641599756593272549690972791264214184619760633250579383779570061483613215801551394053926971341496814728519032098678931107491590098750132924415657168449718397224909800071601463952864312134735749079523565504068436519173524533077715466557254428421739929979466702730691195634081042152258181101588301409298898528262175050486227415300466916498418781351396940806654464742050831068301006446251687617351347463129590779591487037685885736268706367923496227532871248066659609144378691716332663642497194601784318402651992109106366064733137917307415418800180622639759717461832042258288525956338352719192133096649148119571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 12 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680826970 --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":1100000008680826970},"decimal":true,"detail":2}}'