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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 #1100000000439186984 2,860 digits created before Nov 2018

Value

1035958067031037811362700833528971608074415178343320308911205950196895009328740690486859385006506342988287507560835162414580031597664666969031439616181062594120452248573049256409388814382189224095403581825289505656408048910589481677056200982410395763126065385020358599853751080756831407192161013150030896167092079293270337261143367977063096985065712329373666444262670589460697257313781175006547121622878989740957377493524256323462463749640509370903384665110282117620171022012150854532804057740216829624861230139159134564463916310671161875114026562659134694658365558678787332311748052066365466177281153088207400095473473843248942372392754481550758119922867429496680382833453168676215665462279169860914356906940649749265552387040769931478473615113005429689374706718994391965889953108127434975134734522709111605354484062225057215847742305129729696639330259672423113574020859706395834044124009734320875366137558011033057767191351138123886431717433404683326077070890149107422311283934551555335331277466852975095471947321353228522683411826259798114396760477821492461788348538400931777390883625097086161611721196122432875736114181557916997518027697947362386248948505891045428537873385538522509099701850978717466284948931012976808315872209595463528122250006989642043811635666009355113316948245511918386780575808779873344996034152252591125037674952579093034348683203002970568079645898937479754577604761912387252770729853652964377168458315982261556421358025051587896765582881094915054760761938947656523397050605064531011362001976306825100275206357452611724035678090902766183196583608922615855062451148194674747373287942279210291382274423531928550766018723008157276352099961401031184225040127577859373736434700652447692498873113019227792029423522625587355289217627699286370976284540832686698405297952982382041096708499085039408744185947298686834422386394882362198515169213521071720303865699148792381972933979446097287932736597535932324587532412059138453940278015215068594314402075255370842789251147928304851595295588614562737171296981754845604778731552228399352869371067644641345779938323875528797250687005210272558349016111520475793433415968385513047730055873251547886944406468582675869244547180016661578251351347061343614550855937514872475797092059674772514359388863570398491522320553863956079802600534624961145436436001268941298520347151097357111822890604336696093371611618336307511101481331068824757468762154858009139498654861861109856875965993532716233864326676827579374585906479778027836101378634835972651640278878973219861127450579256044077888933561206565534699985149184522045896607958760395776780677342180922649729202767918457768381529882319227790293356582636466107062125154112712852930425789927188064277365612862384787602453460804232366020874609992370777765848614272940852808723584250821775292883955014094386519148415335894847850914131965000526776723648173657819
term (686^1009-1)/685
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,860 digits).

Also proven by an N-1 test (Pocklington), base 2.

Certificatedownload
Certificate chainshow steps
Uploaded byRobertS

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000439186984 --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":1100000000439186984},"decimal":true,"detail":2}}'