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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 #1100000007512648051 3,272 digits created 2024-10-09

Value

80622412460368722715377702388867648689816931146301653733364092038201881493605676312393613419237625468688983176799632191599731890383041417873196334744383609816268162143510243062109776202337018112924341088381129558965083550535428789815488706878896435788164047401184264061865817599731797857239256637253429893919268520728186216515231927251246399040580421661140367343215558196079425371148944253626601960680484882970885199909236749985222876632374208665865404687276774790140170018901191657958283296439824962645443814094575755811467861431363861425776207625137537829186248713282998207556507779090345863964755841023206144778923996218097559959048749433521465677047221375464489176499996701466950671052119173309883352266151793928917318749941948939088878866371715641614533146945066379710654708217445617859396606110705275831932908857768247999489000284221535118977068236943097873646172758707586796119932296188552897342292975124000131158326778875053914132992170978957092363409649181029383341334655759416396608739326944366503737815408736371363811980248094738524830791404649761353489973548034166623376973646969149910320294813448254869711286553626722190546321804665415010840764137232857056748640631348151666380693075136880273960871324042647594400034052923554951648244980107879392118543956106995432208712121249991695409929594256395466821237720917200315281302238566961035933414227447515989257659233569786776296018399849334704489460155452749324256221272483150504414599769993028768915084866054442574497121792223202209340510340675399451246371019885039714508601844807340007899689965529102654369678901037683655079448137546789927992508204851869966076653719212134056252032646841785683789624021550656731432759286935316058924064227050062936593973340179366640499549283968274333624657731899396491082975310140782964412228646668633550326934575691370708245958080122550373472840600442654789147418599881659681839390284991071730659216561947000313799129380227711089444029624016648912008086637560528528764822225341613628352061767434406055641141419146163702116240877704950896455256722442997614472465381762018879671309303583405961178657802636603571102073724116125170473274832122183848959261388096260023824113856374721308981476750475389310344267845201774806240474354065998991538651721396747365956828071172885664806118037515998306938191190820188879350919387532291425409234604922693790846277847955144730442697317532214180770648472194414322993445949978557820852756929663461554997841411997127324243988726035048088692461867300844376463120838622644076659379378730400913164742827282086956382525526551561119811806732220551659107556991301152436686717412936714334742492975060091629868893283892425236753417130789139600709095005353498462736763847874795359287143755061501762397139942970074536285483699478171854602711262402454614442631148740854372582176775451013426530502570553393546602594171019851888104960713062925553120793641159486338051078711299152148526127268783411448189196591274512106246120149552792517358065021179068376484851394026564197470757556923082859889310286862277154237524147193148082103622812263221661385792625992517711981233667176540846205692025022392600692627470198739320232297040837617327291742816715926688621741205095963691667520631436937032593694501322104759101259484863709633564009436325280930889821902649159
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 4,097-digit prime (243 intermediate primes).

Certified number4,097-digit prime
Certificatedownload
Certificate chainshow step 54 of 243

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007512648051 --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":1100000007512648051},"decimal":true,"detail":2}}'