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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 #1100000004877736422 1,983 digits created 2023-10-25

Value

313180123423478069352791001116508795374348138477176613566475679959808215688779473245999581631513087333645159517694100076193308271045731429580545602179377918575292432442777549824671584218728168063301857468841750206293763051927419579348741383870208855443177618639198945728439168119495489539463917064649418549265324439214376333106277240672835701010243557725364257164849259640514791730688027124723202253387867378971289440448709629265875807495343770934472797266270218746587104045314456231237757582208038767324364815099706031705534925262351739275067765510591631167433823108985669117996672894829509263003715251925980695522952551542247790107592722673768843474100013382522511034055454487676469559504381111174798993617061466316155445598238578156003698240642479851940100507193234961542044883300665486055774802348592694224909461967251062131126693419406307322727896074147990760878713701576159560410972647157727056492703188119205040766635501742768759011834997856087717943250789124346172325733316797136941729586267713500692079384235610279260932562280046504625906956568593591781032468691219518749498559319775628475358601153968723901743292715070701471339958452480763832166050688356244821093913124433037778835227711857057232709716861547240976758620001459086351969056241274760538060623419240889457778914604513813671248377723090027981018086197337237556251479088859719754922363415453869346681989171895569023908285396485596356413967876072729662093180399910010740454887868663819660080301061184422476003860445448538369231810624328870020688312051793322284739039491297244897566814763391063250946955125620895850161508862320745602944300837493245445231230301598778925690751395970276058855839455662050390014938202579053472946027896991740147615765548286339536880037557917047476060478138370414728352412424908646822204850205253631842176479030374316333035709532305830683458021569288986277697406700434610801060414287981606190489599365117061248159704392355309250264104696132254674566269609584156618292597530003987401307
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,441-digit prime (350 intermediate primes).

Certified number2,441-digit prime
Certificatedownload
Certificate chainshow step 62 of 350

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004877736422 --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":1100000004877736422},"decimal":true,"detail":2}}'