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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 #1100000005917946635 2,720 digits created 2024-02-14

Value

31192935766103406524250857717047523131310550787091862687158115993684763837719877781726650030773649595149602165384495705611260536405565694080380775287256346844682958015977225675464605026504809619117459892218292564363699269785375117540792442996480050963920917359084616988606530508310976701740714824668871836321625125209803048523548307625354315435130435355090187470046355558733548663756101889933609568848758912125015353391261594179071133308392841732375729486030712638466420232477290874606098667054376944563852732917256764335768071917565602488721335056746740421204207986174044147752586248341827883621131978735643198868599612460280474707929410518596303595807581930705104373822775065761093087164721539973012971535961829206233177643623095718847095683025074049834789097824794084521130515231621500723813771370700600993157316953689470296049626676226207225167880610166599749526488670275869367177280680822142552649328809276565481412741983075452587381546906807387264468262727600122351220065549978161831296165746505538012636795735854390263272980477484407328670648463141761393467859517243358355278821090023040804766557321521750952472939961030630319763366073470433040375087444729031572921917457354956369702209567143948226781565035091723072780394187176418589471359606886035522402343723193853186688575951578289451884520535791435164905941672257373165254533819789473655909004966081683939278363147951264555353871456957522484584171039684835405604944228275680784039839223168284643668757146909133766063389619995558621120506162470897321305557833106428358610016419665166224173968767613988209333923606499439177688859042038064663056057113370396580331081401896366011674078394777263725186871642407666291632980436781736539881461343759596215713999733305814160903572895087925760354210167102887761636014154292139814202514942210377634139759525253689864031651382532146810255959441065304485431802449033198246991975961906266962922696070599924200037436568544793773391283180764674605880416102124523722944969693346606558724112514067745626250620826567302092471139141773856321263069749064860735258746494070893004435731613085028856067352502196747236125906801122428453978145993008092547904858996527705557679494287091708923553607018266013723995724033574631961562345739909253689325409647507611115825070274365576882036241867468198419817152817598298614825374887473062860072766892673518801534736502526506446448235563498798687734897161198404254351145565534036409482562816610772658695448304645234553122745808250249403678604643555969973354725648050718889459159705250350516013120751569884462597752761350095006026298368701386283199253849529280043620219267447398606036995397649769604469200523409600940005634450000896802104577495152905004501363560234730423016140377362585251521
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,832-digit prime (208 intermediate primes).

Certified number2,832-digit prime
Certificatedownload
Certificate chainshow step 9 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005917946635 --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":1100000005917946635},"decimal":true,"detail":2}}'