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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 #1100000004893104728 1,983 digits created 2023-10-25

Value

131332971107622956863071151281448848536371067519337402183840253635307738647720443795438272029224785918323177278348082347498757340134384191543247726174563809767307567912273480269854148933962569896783272598551883610624190198451810060608025824076756656071165239268701676198937430686553081025896153071508973188133456231426751156174459653281145931402800463655281508468080232608354451340274699003829736167580547937753636011704937325655266145244631617101155892009520713774589048325863389127724025762799748005148880195301217315867180449763665871409315660274899206893754850022386101493407818106497231223063925351967955546227208273218515378646765567455265941363146237671156458490019835445707669275205892968957737264525709489102548761193235934537998682483320566192956384321978037591333375754857709698435794150548189848699271867989987672345346040079004415262839201549483085736385094518976607369393540270035223632861822774915837474551403525266886954190086535505240307459813616015890898532193318751763140191199530266660907754353375730402391654804018916975621999315698516992076756176461912412803376499145976442139469112111964414060211290469031209217338759439285739520475973933057259724538359913963427131850140250530444963190124677599228950554738996254033476167430729617427840966012757886666373810672839610469442861829245573015150663292507878086617633710918089157229269088478161676816992402373142897183058427544192956585101972579722438197619599734339302728040831104634921839188093348472379399373315642705410522632668596204512548723224944227575948306524525938934042378622748883228398428515294939211715781268143803505629000205885389013630136247669365173109417720948413881611561359847953023666768348734501916092509692174046896732104425215969190453147975877127694609110820512634006582636290568103967551570163404115892947052229436322760092632004768318244483366054579943057946525246543936655678607233573571286588621723192377469129727213046570143781349584642487909611053715941838213431364958837076925859553
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 2,192-digit prime (248 intermediate primes).

Certified number2,192-digit prime
Certificatedownload
Certificate chainshow step 27 of 248

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893104728 --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":1100000004893104728},"decimal":true,"detail":2}}'