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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 #1100000004858703567 2,173 digits created 2023-10-24

Value

3665643606298088847955624168939285922303342896007891016375919941497680384347326996272625190154815910529229429302257297018972875235725452834420009060257555964272834204412526688072712943149482279286305686290568684035925265779969840720600258464369232173799515082357927514633539654483702934291673061812671676847590402180281343759854257097915551410790369425813612368015133092510968030404320506414981187256547091620078097238341785872457723998879123985825113325923976080575698811463116754338392754083311198581813893074908261728855440369216681875678985820083235887814284512754683222532741230414771111595796628644966562326515239622671023779245089468991510634712043779510398822370912847646159743745427014465734163485839960057315014143136904271132163685697351920052910085955110599929066358413899691231851271094002482127917404823981221351550137923519614692473931368732470981419095017408171315840784063684345058369201929099994386484616499095560013459828493890589590459807494012501048546562006560275305791228930311064253472948969884045633591660085989580887487138718590832104213240298183578041773927169725182114372053782507643620892299620761950327201679715613069808858997338445782214622349958519937332101606574093607363576652616411876169582720482992398574828233514527416299182955235271689115826248660573403129361550534467715225931972127358261188490919855755653931967361631681774397460436006328734466377670431792315830832749834850880497511134245479947348734690534957488319878182008271424213187423939869038448243599576055727353968156973721991469376780660517821347049620926499429749872493164607770735343056130074432464067225042803344112292067818558758292089894914189892203620892425922264390186726488880713189397706253466732657977392892795501659653604060786190663376327509774261002645802226873008508494401374201860653360658108772783618884688114634585214123314745353519461267804220852412190878935499826679949259752279148646196668868795557934598628094610086649173476677624934747341649182339832044604757837725905842679918953398967929421537458718883593811332326088087784205821863010788335067997630665805741338020762264284963990996132821238459399421763201863542310626244190698306080346221729620753
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 2,964-digit prime (316 intermediate primes).

Certified number2,964-digit prime
Certificatedownload
Certificate chainshow step 79 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004858703567 --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":1100000004858703567},"decimal":true,"detail":2}}'