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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 #1100000004848502732 3,101 digits created 2023-10-24

Value

42642661493976057442383171413319249070077684759507963699175337870474119676521903425335881368974770291747047077285851655966071522027294158119182333217594254254766131056022300163713994347799891503222403072733049363720251358476484354784625852985839964369346077279689454389645786885425064255383282585009995827743058772723443820203837937682848637633726610647158760137504246940464306606738330893847602953461073090000624155666767381170660093932338879687131677176663760086873475416139093803611034871526540803495367145022113872616349150960041101707316521536294208438282827061988312636640581338630488674386175361334348022962594788456651500187437983685986247739915423636585929869335434314056783572875852549180851473420058126037893833966356758847323638655644255695068378409025449081915036391772820493554817885034474333102885732913864173180013098528332800493867820678603608199486056601999201191190452445068824639982546014035764741232150366424020490244796465353593542283642464897573006436078884244954346968515564454506377265603661889251339283058039917271195981545017212404141061227182111751656472244290852196132326063127595670770227733713487393061238493642132832290463677215276024519362107124209865097930659095148648407367950994703084603681496517805884000708601180701337432730008103130494382224455352252841790305969889187464595350663266968296781914466713692308631539449856708665624103103378971173776393509212967677175915809658344233661198529887180483660569599962544157935636312099727346416130352998975451473297515651281565743318875581083632778816974507708969812476430917477520539280143928004781691896177589931708092729179732558814584792640954142517712021018194120280041661379064074273374166092109106756920618072243000223863204145818099691419562810688617778785573554695368163681111879848877057913387993422007159487656560358883037225057782857614793765073923114911899872838732679234529501158348504435305754046401412585243107435204722709852490230507287131199722804891205591327256278041270441478406304181984785883267649038258056540813929194330559388208603992732306630756300338278356372854687139927458310595718438943995196580497473701299094923127558843125885732181463427751478648391093059349649816066244103932295600272720593989690961710054364214046111378265541889686089799038884541861343540210373970869612673535310808792725090982617707574937618114406247276008329492076469382477090342855169704872102367883956712278307738020007756635796739307949750443706046944036795184822471919901928291941065559450317920987995750510154650820518845917429776916112489416935348492856259453279739047121571208015613922620267108861542939818115235158721738940158759242757496279447931593380427775562517754192320709530811535935154882974167127381575215022031499357606527897618521994559585215989651332712064921483322034976060508480933410628490498501674571681703689867142853842180521209123477728784882294833867847278986390809993665591868939507633406201207114700730946233021565699067405366565932221296407451209217638238680650515566306108579025598699514913034478699322021915832551396868703966338687519944726040091165569629095131653653006064422741101233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 3,285-digit prime (370 intermediate primes).

Certified number3,285-digit prime
Certificatedownload
Certificate chainshow step 19 of 370

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004848502732 --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":1100000004848502732},"decimal":true,"detail":2}}'