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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 #1100000009072856904 1,916 digits created 2026-08-11

Value

30067344079656512959066386553258726515163032546645034447160668354345210550680127746028923045077464933231752488483110381330043718872559842528744994232975183656169414674571682412693876366097084039711929147796396197272377971577920460740626945581088663024818685868589014851705124463284244067888579876525339884047032182873376534233321092928119846609314680090002536037342114827329715554304009262201748057806755668645454283447192201571219944710785342434366103813781387454153749588625658817697560141141359309728804550698652420738283461039290361638967351639495202030675943398396950912530820217262402061298522208810048512626511642284519796876469628108297256274097085008148044428328700602926514165403778703376209848492728583101688850978137756886877450139761011330062011234577456541642921892398076200758225630306917612085891687596546407029880397652042543002761596513908382959268216734287372460928146668401197508431457933692263698364767287070307996753491683433855801626065479408931042506445942220627065765610361039517927146183627533749999418114819371990703072264056079301975426439398526500281613290323647806391566893864767835866743140608864745360142659540107433844877489086384701678030117256356891684638157693682979316067777099537685641890227964676338399735956537658334858327807503368351677584542830808648651467188696553948422037571789654866129911825317606926648642245542761201235091878030070723157284619213619706613102746943812833053538712386987535025319964484270946682451295280265972833343918736001370347076345071401457963079172877769945410161109098133124100616588905197620760352442081660420921250847185723368724490107333716772588224029716767085664199137683743708368167761344559373221496292802569304195222768498980787311972823460065411284873826742014891084034500300687083793327495943257413367161853418251898711694617265880818278679526432648151738616222714303017350164960493660420579331231753377653957434279954530965958323312177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,006-digit prime (156 intermediate primes).

Certified number2,006-digit prime
Certificatedownload
Certificate chainshow step 7 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009072856904 --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":1100000009072856904},"decimal":true,"detail":2}}'