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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 #1100000004813852426 4,184 digits created 2023-10-24

Value

15333571918208916178736276128700928714616651051785773879286992585772286787023789273078721648782370223889917338828013904863879086436603598543811183492475602751995022734306759933511627068770611593055946205513497097593472885041064477827628422611982996361063669821004800627239397565071037266536793455995916003517966014466824445992618224147904793258339221103150056225375104674758522707638773595363736523552860544626993263169692456405839415991540361131216324251590014737087286361742010082810396054857286297854835531355148709581162332022699779350235881921184705151305212513691458923492011394995979461091160011592773763450801925325510905638679645484168670661608785772086651928015150440271509439171819744635705535313320303716094085636851656296830970844577546945375504647792255650262436858356007691522511095395903397680419275658969861894056574743921211651123258753952081714797928583484995538704761257008472271834544909681351440148090383076635672159525141197205506164165621792512125561863869613976414338696392932056001714317831744789087237171806260850321319732129118296378012401830728409669993177843838609790765502701142579294260685251178841127686497137406146674103164331109698915121365997440007147491965694560988899638097461010137693754601035275822531666668028825885933218118494692540969365029708367773603245996574057571205035894784693938635467292817385327374860089092415403138650197147362885027681185788386986260213843856321830219565825181418469523749634630913715669570330753686774065855925589482816099604995804299247019065621804055033692829564558988228410888924126831294512048062124807733244554235379905027171673141035077650898990970403823924439001946573450527978749752141072759630192966081810829751645956353411628185801604786169957316713066626235605356433333416028564141801699377709561661777457105100996334450676806030005975760076197210822079621433145492594473393919106883872714479698883650486720162627306808972773952111079192681539655997337096156463217618555811438856221411597927162928485005936155164794851870819448642531907857641330255106011348350478134182185131919337964146079804381249813057861161393646301835271808908843284558826947346276766163490547489655357152923050609553070876803576523624692981183623765970972028482662092424011043945631762083833690675009665858969257458756707056030606020709124863071962614406482009297758402866149424731621844504395907088629253962332640189303676361021789150869390888648153833894346274283090633017712310448605235260392145492277696249001899612312615214994311040978985766635072328457042005255717080169275753962578087414624480293165718213275812407675465249430843674643587051090173333979019284176948824650000430113614022078544552854682454140925513802678119045440951704301104395384561037714186365965098486184499478207816740294712823788340374790172028772934834177572371563236625053955848368832383613660795456656284721957780072883718638137016818415081623888337507870919734372983845152196538405461921852557497772779202141880487062307578291820583995224412390871285554538046753515189759812554961532672647328206742230483508000622202377454696279572736511277857588128778983041100001932525597147005516319980144290847882714183511468441971317393556508357772964132986906947638262666246198006061265096333769915576185675825974724072474761685037223743566563680753706522263190296418462312375301490464613123890976007629558952259157242006969845061766178860725148339961349760820636816276749579071297123751044516529218770582242570316716123895046607782400985011865177467205920541005909899662888204364815586155912029156112364097909928272104926662051788493767331859402881373585881368567761591254663616586873554290459804012058066254088129608520468112235956774199635791103318756210814606789243392622073190018775534089772911332956393391181431963934935038339421876774127143983598038616317973686261184438428863941129409177650879369592512114392611402197362477788745141920835439868554500676305200398852915517200537720780390488394194787430719744328784487984926646950855330030659687205154503637867956839332049446753691017829078489149661382787552774724467201040959904957461571425988885058112388653717472289148921453316991380695321211232577365601636624454424395693080108605957672784538618469
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 179 of the certificate chain of a 6,064-digit prime (603 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 179 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813852426 --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":1100000004813852426},"decimal":true,"detail":2}}'