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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 #1100000007106567137 2,714 digits created 2024-05-24

Value

44549587218227500983805401552726251626874273427238911641034550115240696944006811713639573299213841614816301260727470804177891702578319795594233114810399441524808736605962089165486842632547470251302952068641056456241918201044341238531007416581760082128449644125689788909528955417497156385189738205919871141776182515453984148820540594207140187393397661471440755355368732559063149973152380454043870633242279310166692026516404665532445324581962058553903721234333063393248063931283900703865845827551632080173289638153034344142183102193432407744349926876685164600772593594716776151610936674286248769549143178777792885111579233423787167114731402782349245224908939903072474196462885203604994996173590436191881119251124996572573960988538655884498504760099762935589212312326765656030211886867112161419635722380198653859307114718601747735096174354009908273420017053454121387487588163664709123806966162902034441814969028284229754307244380392453426167487466676828047893298751903904558470971856022333626639005093440264583341872044102772404543641616880630537516830886209949013019660875707580699614902469229888789527460517418724003936294732986549747391040260437474009650450580305617265646729524559428965849030624336343669632018543090166929982921364324782638272605792220927642300379498632285655891543096381374735158085061916867841532072606098528485886122942819335682468382214277106303457389865631803065086523320893889620760275954629525196508827643263624261967604591432721552077316663677451848099832536796381827950103098248618244087643534887775273907724611258088040505167733044993476772514341600854875637907281644184099794536744383143326178654920789982937780464819991139984043640970964153926872871006124420293988330162098394911255851118808933088544996686124204211992674036590567141055899903398961051183849752184609294593226194951632464717485571512353195850473653255229586482202770231610699217943062356151070991567527710426308938887077975746762237589471887391784199318277970874585265549046662552063704773190847271163025103814130002595991837388257976030056857863859423576848335682535992775067501502175352867269429791408189296004248715546579298423353303685304120184402928387745444131611036936282507288798523418867071588699982911969384802688512135236349602479307455672331648088272780270288358031992065041592569627407016786615565576584602362184519691048530894384247526767843615190078544660433678687329870145642638869059560502200905314672186340674146720107687546441457246783067292317955779692087235146843267284224334943196929217089678939691103867066711412507819543582073752851660944597513946992993116504242232692571767910737343968308306232377795249325252854673817897582786912880149055258416822481013298042473953273519635667081055555171523
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 3,625-digit prime (264 intermediate primes).

Certified number3,625-digit prime
Certificatedownload
Certificate chainshow step 69 of 264

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106567137 --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":1100000007106567137},"decimal":true,"detail":2}}'