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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 #1100000004822901517 4,215 digits created 2023-10-24

Value

133792992750729306993196818189361702441651388334974679104107326659729895555252083041547095346175108872093300084084367041102681003213430607222346128837737331831516264457073361321505829134879572158017511745366428168667536040258563546386599376385146227221620367510897019302396674029560805788863813833971513680184158012301599301713299169664411747462469411132572424627814875022423724871928815543711711871655963719600182653307881911410174860867027701993958180605265490357342094349858916905146638014181833199077365964473104774940984508070703343578810366847075442800973624453678850581480466138654418725974497709191809274946256847038018177455197498969311007849122045655257140411858216063190753411166466984671381724682685008348813050167644315110770828897623250271324829186392714690510775263549860707337349963523146912203453376477013371635755746008228526437237231492785627045868654191557076473492000168690558683610581794472551390560899912572749325321317200757436643747758831324714072523130529515463716546874665867492172169815275034245785462770640592303181573365259588739581771109369840336288047814073725407282171983391509081610530409467445929156017617523099509835937902387647461827447555130896217318384785159735927827487717774043721558693479623351624478233050315382764327577055537923324906823877571350499635297673444139640209308197956360548325315660943463947010286667204454709198273348661599336008864272075987411341873305361870926768193612234657437035838891699331365682463278188596718241066435178705833122149627052986735810117635549291344657893346963733673178337262319160818792104870649344787775939369526797959156738448545007463272941234577747745379438792158125303589251204628714078665217524755284556776635404080079992879639342663106632648085941941150573916041312510691326283173591498097449417437579803407159771960095763020964626010326711545119818068095871099036659762334769891924416161394072831223239480298693114347410933180627623326542470322608304546161981967471453801194029757809399212131169365264002132799097789689909160922894313005161845274996613197592420518436826653427295816963758786819676479303027669716905919339826347926075969563002826106210192666652567365431762570182779877505970479498300221830992998333354516775966756475916303945174013071003679840655081636573051337151645968043058497786882270495541511089663651204056939198697774393748655950326662806250845852244446095883172886744127594363474701012753503137024778599162916557044624241307720622775055192249215404858520460569189480456073099234095843682622772935781561744140609594872038910061566232640918864509100543663195478210163851426931623033190520159772446154928237533842019225294765894765110805455383057244990635909709830863638820977677810634363315962566285346729706086628924673920160395241449916068429681985040152432989385565057424139296675271217789458960949540211464430241900874486296772039242829666821500282639543493364866294217345592213185392798162125900606633488998902615998495759818657326149552053829445435239874478007104156209518639964938613876435860047457240633007358326635508943563188955318854816764216917663619859810406201358058033361387542102924745383444856393528844682385985129868612111080684610341235265866658348347934495556552148247988629123659413713003601328169199259343235125367290241037220003832169291930777844046744374846779075327676775283355224292019477946947557455427996923454926424447979923354092051430121348295738877757658599368434016672767946104945492643352900150674746163630196432240570954365615266321826954823483817479759077772574588901184988813635809109900147413656166213636862493438864035882724499149695838991234244895788278029422319399931413845560364908413004882126278950998582100915874076910217760648039497338343865902296508973723867766498796638704972011552138794963915454106814465613234586951062918371150743587414112123587608812912735566428710272453687221107650248224743558584705929147911325551575304112208695094102535572770972180100930721029197132227844717709349421187343038609618972655254378041529636447444603841963108702394624763392881726702570575354539663880149537085699062430335035376448930083930811864208822986889918395965626155547358736114670917948728670559952241609969016679291644770695953523821795356402709252386860439622511
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 4,600-digit prime (476 intermediate primes).

Certified number4,600-digit prime
Certificatedownload
Certificate chainshow step 38 of 476

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822901517 --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":1100000004822901517},"decimal":true,"detail":2}}'