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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 #1100000004873169610 2,030 digits created 2023-10-25

Value

45707204327922186045495852608846652294752470819975298058197618628555338622856527281189553060643138530811750609167379756231747471342853049359436611859395847199375795124696489766237233449413267036439746527967418887712213209667145311826300574080858541661879885456560994345696303149802469546459320937176045712826191403819767855386359085817923580849957887249773417027244377153252035807613217322546991560738048169306678183383245243659355709463797959675461087825178825689396190052431977556851477705480110116486734103898565404945899814975920075628372630801238183458499978480600465045147501711994416756532631933893171715027175756982226227047773018749512291703016431278039721370550182940246788150891600064237640383503642590947876766215131959910066943549047169242635839608821573809230784009152121149109569762046917472538840078661517134559370258279112448938879703635077397424032563093947924038420567460870484069549692695235023086693915318321253351227470089707765094114951651065268623584120798045934754816388921887460413556438197343070428206615032456460474755245915933904191286362008664671054717918592900820951438151166475186326533777264764631840749658938031379820740214734068941584122121715037898467953012470965006966672362736584183678196468331602093571587502133787296367431891108216770712546309372797038655055537625643637234614365630598049383115572597177169238714585277707628667638347107633799531152824769932930755301837608719702678296677543017784696080695757526311032845088762719326309826118211202871414718600292717092148546980797048875714397965032062099316627550772136437803218413753978112789659556757917042918244150903092223673609295779942263644399778407114723763744419178601622543719626161200777596988356047400576966122209912998508256271085871705198930955778060828370146233950743165833030063026371412440912440322386721248858349475249577269872052995316472612301835819108337156076093750065767371031846106079871957575458728283091828988902202004493074762232643076819716650618467753984365921522444305029364764347423443172185296809697146212529
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,554-digit prime (370 intermediate primes).

Certified number2,554-digit prime
Certificatedownload
Certificate chainshow step 67 of 370

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873169610 --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":1100000004873169610},"decimal":true,"detail":2}}'