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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 #1100000008678588564 1,686 digits created 2026-03-11

Value

125416325984404209589808870442692839943738362758678329549057178083121737213200800025643638456544652219747302266640214249710672954910876585222192703044299545969013442126289720785983509916580937234993595497053295283580977431809358010436450127748527058495467497672393866599084767922407781935307875582080722636705029704037605396814324622361677796790953050423516608283960860731123506880495386637069183611068858700882576431238293141178688743453291162511382154106882910111207658687219168544374773899747546871591782441063208047579187501692176386818702645644498094782956390788808094668757366036048167782451479464454638778218632082652816356706998498677466619527704321835473002758682523998214258215324634405304473549545373917334869262994703271521867292626112517712650165277250342142999506330544319494961190161208702483817073870591751820537309607942087289983914401379536345330815405442048792571796230965045444432808734240488118568378873647430409842599207173543482823199867541803174374080869803271058063760590234258542266469029021914861827187523613409997405192727375087446434655999401239366721945511696092725231035865862310421859696526000324287707274181270765400642305542158153704688168423440754311433642061712509677858529957503197649589145030893695985110025258285761399371691974731548420266713981101275620696406017566254945721703627571598816069460776137612653836032631229732184924953559642615859155033579634375050889436853204870517993712547918332824681392168395261702168270180343305180821389807060112627976008064188381846371139442335099083322017869714620778935966487956425401422275490209275865259400949952347896244738687685938799866700310043223463708347922118881696203822741595742313819751105659149
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 2,105-digit prime (152 intermediate primes).

Certified number2,105-digit prime
Certificatedownload
Certificate chainshow step 34 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678588564 --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":1100000008678588564},"decimal":true,"detail":2}}'