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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 #1100000008793173107 3,253 digits created 2026-05-07

Value

5909235222946075306094629822804174273830887046151023353611905184647853601918944864457948543225390247428746496063209871093778224579976576015329295609665864177227610151120514716405920571800224261419599351164496030376753547945779970436016002563901755525580715972335838193276370180094543717620169833790621498687564806697657347154173590524484715897583969343679191959147315032538266829198521216939643790832379130540380262265817724635879961097489634614793864725585936099291606733721091789857412183622815909181239761972868902707592381672259381844962852797430464876175915378923293449085867481455426524102986592639064533309156095454556276943530239368661331056985436660079318506161291127754833462498363295067442786851041631451250988315301342868064452882637250740161476503891949897927143327683128546936350892034460450567187668835103213347488761687722069156310879019644525803590121717054606184878017405454206282640729311684160959430149221113037927081043326946863569909093972889852696825066015590481159432600485792173814878701945470937534940896740292070659054603992220822654548661782375457804358703117832556463749752131118712696584880036835735833203132691609501250893073911937938834690053016448768022579812585245015408550248378210066871745888634237080227470481633381571912632011192676531462127270682953476614523649594541777879612461657811501384802259839227622346616724481780169339853722473610224944707814350849470046761595889906445121832249640877259600216248970330338526132838534166189809610620620642232919021270686809561630602160880036680780414948775073796667387887918977476179494372777986077475576665768371435486786122203509066918899428221418063010024608258000008670394433426351953960057983025460492248089391044676573913085173833455253858765755070730782901019541493813680212961897891332002835057545296471681920013319938667025110588329045013076351214200829089784960634734495646243344886740060619915855852137345630123951772703408613220800905277092305391480169399231143042318881858343313388021248630006133501927269836975559980178923568511035254193413764031181083940959315689519770819313768837317338678718420068918411423733083329709797016201015719379402318366401648427596971823049894492861174018820279317988325293537246707241316880177991237635711259594878482031555273481261153538893451427366570533020083064821519983924414564056350339562503155897583806858871099217136136887417249966950130056776318741062344650919363120366064286801125682656709658976943225829688057979199008521297089886572650411451591213435641668135725310357282513259623150332541450443945815452618522284481452190015304649490248643953347660899998028570689058597004633604961319132653425007102857885303375855749169219856255632439931402102543645430231316890249476343383352848274574252781900352735540334524675359689466269919258234952571542147435014831091024044785042602557412591681741229699624174301986232444364870274235921707061393251185814529492546060649302115040637773687546040032725241651935845689217916379140898021716889147687580685437771761503670023176687324524973578428479261152299626855249552474487926068043921786664845253868208789082850619763929222198851837346127279083348842197390861569576559978887284582772245698783423048430902908613050934833919411460219077028576032033197563107809186078849420248817
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 42 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173107 --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":1100000008793173107},"decimal":true,"detail":2}}'