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 #1100000007047571392 2,657 digits created 2024-05-10

Value

27830788493360331645275530644784315055186266291164802155400998043484042765520736853320224990325604662927453050179160971657780158869103166622865882570681762791837529407354845553730435819490303556142066460205887813629501209691201744593947756896298569498290610490714640434161484079901046950698088162229155106764517401880603978939476800317351617439403342336077215564556267774646915141298101908591970517208268610578929102535549441648366422488493658934270182358720816664036778442582649155213655983801356955302866500720009879556450948276517644016436380241958620987594848710295787303030747936681720676132587499154259092057668135424123369440570935142551883619922662410884535135799693154978814644463731015344215036565144821579256982407703054935219886820324309736831387619704250737857403682046360562002004366052598064537114493716766777258078643483412320756738586671714122212677748432091563782691027866738845815867807556261951005028998244262639579739549617754423916836660440414413080771853413031684470160245620202908634269809073513144962274679479401457914886368517146125666106681379910504227460679310719825092506530402500906126908541562081775303382975634096087385937296746785077062543789207413328260786998604045512185989418565703894164164062839616557092377641049129409256359198796036521696621141885137612854098954942295580595503342992546341836182826072593417900155665510314488549502547370437072725115116504468801627557939834405262874374809491668230749820102751524816682396921107021794747569842745836181665134375552494071939976216959586445329959812119121178707773567441107761083401784452141124621656386606232758948687943553899406046163359466360732129182582378556397236075199356330804530494820541791271293027735392462104910914184833361199070461674886480645344513854060210501184080280291453733060911916611331671305222698455022949373237117917812940248533064982581400675688958399326697519443099678496073581238231342342975723872407159043240288714543859491274839867382972210431965836297041296458212878625469419102192666843976005684775975305481885749001698969010639043951706493403834087475441307312279211993142482976059274924314893283034464799264240453303866226453630810484996719938767558791150403056912493016205711663020800593595726453969688762073373027023143113570688139120046648284379586067773670410327124182714990555099476882537566396821424791918126943811209393905036423510499315687717189270749027986391969407377118461925222046455456911721594096153161372345876017698449137434385997953807941720969856961210338129555489140373469808263213050666002916181763331169144080975618057611238026114218785257514250003404247828950379593958807685340308613585441474837811205793672817303569
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 3,402-digit prime (238 intermediate primes).

Certified number3,402-digit prime
Certificatedownload
Certificate chainshow step 55 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007047571392 --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":1100000007047571392},"decimal":true,"detail":2}}'