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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 #1100000004869987231 2,344 digits created 2023-10-25

Value

9357216114389378450038075023121339089283084702147438959915712393005619724205463670908811002920039701744440993472267084380372986958788450205634622952937949485803136427345256939066099232952349215344777819977697647685167033370040838276390815578084529826925733738325405073595788379088950194643083863638953531281877147631886356390582031857554308673489121113070342495879144301494776549896619513452989279960200900234817483346764853713630871421235373905603791614419503105887193725296431583385423980871903699005267568545049987758970858983915283636568387061622769220280317660248764021393163016747142684034568936932761839636728838638358599240180858558803488855046829609787453028763969680398306288780858481317672735816052848384629507505141813338089296386870222221442971211265195600071935697078955443972612944997942675205785452671212428500277499577666511545615453538298098925845679099623839908947723258880674096375247141292216635809296544554333938794969396571070943669606423432694066573783346035079068292446886409901950455753859925521784811386448293847932112362102959948390343866346288620957049509981692845646511788258635273993336662145960692484886939032114645229592389837263377593625372279812175149280001842903779735296109320933884215085296417030374718678372411916102871604124090900153688658835287841992166461836785759208759779421599499578851802108452445887589163921440033866779854863459374015342583142686189259196150575923975269428818398695025121597308108642321036529965273382017036450725436534756992002785139532574459528603704547719086694485562042797062716478051696492025192072996536513863504281513585016733711277300506011266931760749201606992404335620782533648657634595970966622592642138893877094117909685634638790383834891671139565350046676810419395359153194169898176630597032035760462030601930511393724440759339774443413715182929911553577403004288184554266072898466401962429427835115599350116246844544493257311077672913038945650951599868131957092944655126405028140041050225830633841373807702653453787515742960221887807542132467307103231982625042745356198521473601786008983041631119005816243301209212922269887007751215587018585949779095190360169244113514340349984997969626404731187843472184731370980172695955159526690138471900225957530948660677737795849963885574048073357410132826313058534083161776453298177525774854581685427299251543586171200599586561
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,648-digit prime (349 intermediate primes).

Certified number2,648-digit prime
Certificatedownload
Certificate chainshow step 30 of 349

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004869987231 --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":1100000004869987231},"decimal":true,"detail":2}}'