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 #1100000005814611391 3,046 digits created 2024-01-27

Value

6806501141874333117605783395627996151548670065389102790734364631263715753385468236540007331799276301680061033510242448726395690173817262430252988583360664949569668077066348395034662262409496114469820173344445980440640446836996274991862664199565832859408566948958194721730858444929586180330426055827266502264844544942333726058943145086845118731580874389821923950083238829967917711267138695441061980587609106977749270331638552790506150583534204022687588324217919930516260969214073889157658505947536936097024041201345952929457768060096148121569839695855474992832628123172823406694734379955444760540100036397709272511704463210642005747712483993997625918058200059261666195073526669235060457651358886746087022346890061900818095187343174068086068429507956528601401747744101458565990365005266815649617879042476395763303106136803754001175584498463730454228527086709278488499706321255049523438342794690214247953666524083887617366754679888575233432970106365971944799208010373657825478204720768141856104478598435916019092028989831216401125238279989421451946824142524917557724376758238724382350715024930816112193728675013373232905048249188989860280058409922163060469150306561641296250275879305330382625242410389899417296654211525645626961409751494401630469612236022509229744641169773701097338265214102507915333922858357807714484991919943996339155249585620150365813804860731528699076737632095063857852939805492291113825738747063273783941718293531691708759963886935671373286414946759853582919048295453862540300816012132368168575956586830798815746459559036045874297695559504936697350517108771721791543311408157789855067859984075941087601928863094012202635313825793876241146118436786205171017145700917104216039716434108498817805189208975726239949400922517651466749319704208485422933451900156749250775570116624374394299656761511018512150312203558255644727966854972685754862153867141435393576428354942291575681658752633424413828805975294803515467920584943155061562417616531369844058074175979801754823856881844593175983909885102225361024931244788876846962268766893407793220879391811943079690140446801446721305937281028655704560206630081764002068146506045758460465732584474392603234210944835795256505104006169887914630120042002192350178283705577114824800789721162912651432722768169771281083469654944018320555797321894810677270929821926232882735040842018646219956827385920961877013738766865519431895488935139533528069922607395578661143734093149517763902148587688473098306906371613377095807671923291148462902909250008621641933696949175160004987414889088193710908342385601846362695042064286765514162869523680000967118958909627206995273260415234830668550380475236201501394074652941607119376701374282211113620201611228908992352740758810140669688590321975471103266537338840197113511840060812440222505120151150546346492081431794216052671964412225623059843846608711896977777735916491463432089134478598987637613875357552900660775538076470379655685129049214547804501128743158413294423041625644684166572656631744871826693149578860056855131193010226214431244113250399895434176317
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 3,798-digit prime (226 intermediate primes).

Certified number3,798-digit prime
Certificatedownload
Certificate chainshow step 55 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814611391 --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":1100000005814611391},"decimal":true,"detail":2}}'