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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 #1100000009122012789 2,659 digits created 2026-08-30

Value

2129841025168261300412923417312064563658291045993859306267781825236911220942136058573550923089433872866456232719858639145764702825274335551312408459072587232191082677556565867716970541108316012479942568718734557381157270783016712034881519738338859447153533189698196873169311270379783425126837095734954128667319241687101353218546274659954520603977611968329941164900912379684845413741637693901732125959360140769055885835891799221466851205765557927857898033197466150351529744480456387151654057003827211655690359666440644606773475996282755608199002490158427180362816349676455976374514003816725753262471745081078437861401585065701337306093211088658540955886922668620917851112223006958935573768731560682900602911905507231877943507128194717522299090558008483811043110877890747364098376412307074954063550256483105366911070171245620355274288976868266764212095150304204823463981860623251231382153434683019414419395087116961769096483866480165715269909227192493515240156477783129379810590196300647028924948355655609642045885410588697474051820564750780089827450655155439142214128663430898413775983901826467769614433249622267980522816683367837046176136047710159455428015408311990996158721016819301612917936974898715322075550774344666969753331382063684860522481211199029201423489174049646870015267992961856567926060890503827504933043964986837281448066679992459068723911377416324947209837084966129464722760650423896232720072517393596419522082613397723295992703727923622737277990037106836886554598544834352746483090445874674600047159791346894668045940827704827769963641915897776144739746726867391442441433714796994335472194477444825316897382315055377041618476443348203135902527847951979961038480843031539306017452525402415471438371064070682127112114514881271057832489620357873303375735416423385815126424138801582155516537979291558533197156742533227584088752639227316549467278673267917074644872871553829815556090335053989876318146113628522759220409158275877667530579852305119067529616421698188761854290067406942570332900158709426500891649980751322051167805514085724820865578085965944139622930740789958238757102991454555503859414483626812463439488342860614037198476723441084351448583504522223950934944843517820628296095929278080562341719872736260818815459548762684155969682986550039226299867058267234720125104984039558562602407327395560593194505689769036483814322925417982711945392535397698535638122131395236342453692341873716607325779928629779283427043452679407687384930169890922343722730832393019374545826742564885012967720727426196643085279776891893071017665167035577942726081432610987926796311638198184915669588494792406922633695868239823511962709311339763310138925245370791
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 36 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012789 --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":1100000009122012789},"decimal":true,"detail":2}}'