factordbrpc · fdb
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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 #1100000009122012816 2,575 digits created 2026-08-30

Value

4519834833349010203261479265101231874622996915101401603219635915862012170589126369574811080645489245320800158272658291848535407417627939547058527453669413290875780337822832965888957554547655712300917647792538508978626882233339442136335832005190421121321044138163723247039905321591699441037740367690782624360546554504060335661800084566014201997840297658038216971624583462294867482314861948495365753649073840758683598670841029719222808320192988899545370198917520776454306263917727302528438420626343624247302886495262075292606086366776429014362958856586647859668898239200511981394056983910348119780549561731561212646373795011145263596089816337732725456170379731734159178864772959733983856654892332084285688639202753566354338814413024462351747176679849986325666102214133274621052786242579052908894321571005900747294195527902712266575271093499968501253700049694825372852414569189396452463046302467633811326081114558058155859265762574467806220654267994193151948304462522398227294036533354887447854525803743405929518048128401841778587083376617710258697127926446325008101978651846693711713817835966608635657433161325061892075941988781747882194183074256279025923754585190052847755020145075950043857811084419638171028232533315273363959031290236674534754486864564233303210908309952531360951145889552854920986404724071842323541874405630963309149608389252054565841692993362375092211831852944555017182393606066075289994230800740776312340007148189085688882766802105177714810759763893619460677370748067818007043381450313192434457836858542093450681188285618777476986559114133676765916496288251712509865732453965432998036841838695713479900685504896658180233573159120321472533839016269331394314712239316649019281776230090354880175718603925184719866526229187475487794786311881778888909198494199185680188658439639498078924166257999815902746342914304919408098601509640586178287244809034643906868966774197064797903263392174770539944072478862048121782654888209116480879114378803238078769614232458612422979111957603826544012298727727480906232416519681346278204998051645760621717549220766564080643809843644783763311305088287578888930330783145782843682209632342001654943093735016374405764548345284604914848424168834217546053220856713079959886103975919857230752048818077200569333754416707744963662907701419931927674486693741099474072953383547332807966341779898106251951661971885804402385869847873876881528723270394039021090231378591686490024455993961597416118916732553805123402758069486730193978591733728602166454646437295280816071565307637627167402780505147234991919546165485759141597955321972140221171
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 44 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012816 --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":1100000009122012816},"decimal":true,"detail":2}}'