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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 #1100000004888858073 2,109 digits created 2023-10-25

Value

189327877172911646875848151691038402708243273434153837326764343924597134604835045737744159115309538978872169303018647921350475078279915324485698311201848234087831296652660629769272808757007062459747782604710004489437738632165372126150670102768216944878827890730450542933837527503528101693125191297346965465945749090502907228539847005082308598999361764275774185755806163526277501970338392519724896987133170659702209482249436603544788241509758787150589887014515682344642909883654372462535932158572546428610794899691650110522403890525984403351600741466437169112288986682023590342150094473903798001154817887014072120861984301677939134239854767715589701305768773063181488941275481220552449432422131754764842361180804080355452056032310891682493851471504617755742044453818516731724270602165543409762124768695955564128875148072646656763091985262237192348677551870551771807496832244435201774070911410340684186220618033513138883552176420091714480836674219215400372409779761558942658944684572797686702895529191706675687323639535073837167594272595520378940155473793350716503331121670115273137103653633799440563225486172182978650367478609234489188949468803514735812437950551614865125161492244319463070873924526120706947344408319349754055608971101300595567741283181918007414727715367987521354847665758495553447347121501092646968510494504421083199747411168926536540250720581945016141986326700432742687267832326520767866267916290232875442952446733868348830602940422568838137130172669228664294257774816929010338563720744819380451150205215170727597460231471134226590232194140936628274461901043638736575965008203897481108225687492859610595762890089523407161972299596742799300968456199119066877105007883724982705493065539222698031622104145218477187855627745053817679014134610509617571504968278400355729442144811187855523669989364143387281380238738534399280677045083668586434553570987505717834565234082421994743687177746136474111413563849280004356166517901931014552933916752263677958413368772848857355730998060319399297191561900340621953711489388732425053298328894871120821457038765020423783606669249407129588732906257431922068431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,270-digit prime (261 intermediate primes).

Certified number2,270-digit prime
Certificatedownload
Certificate chainshow step 21 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888858073 --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":1100000004888858073},"decimal":true,"detail":2}}'