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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 #1100000010597897328 2,721 digits created 2026-10-06

Value

315083958291456877406021387006694561960415360072780631976328581601976986103188084131200745797969646513174857883876781535617470129381840885708413863811501645852474222569687398663720191060849704337651333452444901978032521401069408231902903201748159349742993770377498648824159679790640185280920053221327840101855614261724904633588366544060710007030920822607791048847299127840732138963848644712392150300388163189316312477148629848693161819073875840983206361156338994931577194623594347044993485205513987742762133543816718399042454235866702618090272811535981588519338277456602774358562165836232172628129049918316676068537953266085726336662490044506804442828551939089082370528174769301651522904227869429836300200978652222471111781396285713973126616179167489602753707339053455619103833574441006466644110030924515538978740567724174814767046938493340558141350591840381168522826601228950211383108304194458909309108453273628722839931554464488171618485918135701434309558866971669561857417955972105617011023466033691864417973146321326586648180642093938077639183883076763033318366924024594485150512234530207873813414098416429029994033970706389394538756073168940303050999361476882230326275036287780410752816330385748670275903395103937545777096253924930832515863300218444424493520877563087330723278175675607113265450539969895036300941184108370742864229607791252802963696900921366979660036997562233203390343841528090322699093580350103979559906129394484694011086079498303941144594328491559582016818017038131709624288107323774670334521708005691793073517903531414846931755151620700827382333557306922408172218427489923408670776550009067364413466841015289919793540078847293270814904079009793835328274814508882451524280771736859514069558550629783522605852972804572096235057824427517336925836479888552131256377319683859595896473400886429925018902467857911884430771620128279757283711227936562984147154862894686472346850960627329418178241202811045906892733049035938606295399463049456887157276987192534795728475445249132082524686891151004017474106055108024576493966917714292526689273701662021395792594068908821542823786976977859435264351400886344650010757332134725982858015691774162769885577539633994954130192827906470073257830439115042550226387399327568804825199805034168824575545129024505215294086258899819401077391574897792299033248941357148297418197398510889785116158330548733881917400140358779459852381260089952567710530093489502698658628243426065713799680458047006756854784572972898986291849481792132915682787054883220805283145478247355833220164358220565020896697610828574222660084580599723621940123241653332571821402954578565109486143377641384039761651238243744174812388081455360881838863894439619441344442786698499234609317155216116712096769
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 3,195-digit prime (230 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 35 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597897328 --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":1100000010597897328},"decimal":true,"detail":2}}'