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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 #1100000009051642394 2,468 digits created 2026-08-07

Value

30161644847535243501801856686163709697802571947273702471979651790639053332625932897787910139674071277496923610308764268868435888323429187570718770770428513258111466198545562236904305753837845204665142202312232504439188581910299740844447255847605706711066590040737719822527150779813542750491424019583190606079368822898343695663526334420318568917285487339568710921246750835445999030050637228442544663720122954214339665268621851166832965848098866197084593711594539041982032586162061549591079867064339583692834760237507183487514546601325238632626632647405155665748316449540441247780650999376869560774625486985809454385930404912264435043457946843218134211530672571472261306269229293486738581882794993566785834927237998847210366165631010575306508599779441164212794818813422559170286810235681545969829289152479233656025876391848260493976808302873411647570903223018974562703800136553545377093067052005058983889817948937374776949689169898270021643215193670455081830651792068010280280271285215911050403470017360039410053183158269766706572783774620473075061510504856611367777368142371473269289008428021935033550762488621415562123444994539513426353229505228314915235532285195633937697623980102084033059588723482608499403203918900596337936355198692990889109091578509531218678340423592955836046051425994912110983243099984757998632210877686958517446479229934670522019544643958176378223413180074411845703703420698885282160218543662394983247896607084473066671587732789771108243549063499233760179352549819330586893160193570831247866188140447693640870752486092033038622865687702517136486739504563030917445556110549307275806069896800885082207214483807169288609309440873275151500411028821547594460105539193433823080597382677994600992142290115469414958074183008824005303526470777641210261360955253187841136472929443587268258587013298704127313716431660529407058499548876110951120828321393202944498801226435081328833738385848440057053335412577168787262680884423411083450443716976305472851007169875417863264328209420390111574321631684038855504718827065934411385853801365678247990187339361183468273302957686176863397983554702496774778025368960795628352582404392594470669691106835068515622967880926248748725225317779395859050551539253143128758627450309954392195125844196921754209371956918148584530936273346644114177707147373626484020398251667477100152558760474735173106601843286745726775312721689866731185938453440553408541964764895224484856829711516985611361500315170352519062445157385064069037
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,823-digit prime (204 intermediate primes).

Certified number2,823-digit prime
Certificatedownload
Certificate chainshow step 23 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051642394 --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":1100000009051642394},"decimal":true,"detail":2}}'