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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 #1100000004880158537 1,861 digits created 2023-10-25

Value

6693219604439086524663448524374312686037853568111658270959797539697090072226211299776849148899841879959667064025322428169503610880796925864315730138321028424645968483370022588214541208193588988315421706890591303125521699715742990408756501106742106087627753915466114225288489128471483247658221961770270420491774561916661401602631900587417167129234782366399921592203105081652359343034071832307799955311941888674619953153157944417755542961503788917645958496157534252776843345170394734458523901940035756693408982919520197835660761799658958830347774636748564446173377335201511633116796653334471109965578776089799267944871459641912483363759105807694102906017598445325959207530044167450870987430881840635166766136362623439685854804784011187896203815146254513868547332725219473260530190306965271153365250424971505143494771769303606225192256523038218724032712558678024367551740932407518506142974385252819519126064520096778999723221388213947196731707973427480783995925785372049687722631969981116798593203243543878424051178420334893514741095989967807128887599473307656441061487553365789416569531578425930649472812693062763659005974926078723851037720171666779518111187122323058300953225252840083277288535721075220382781376722509746908898686552138222851162390915987970882522422166202101889824731807863382900624611452166280524676846905171656837942807069931755655865222552305742944316138031306067175731302809531969978346510057025411865621655431982314478393308800463969112376579389419205386923622287321257800140632894167910616648337385569849127747848865354837833920762271458941951176694502320555982130437206010934044854057394151963523072015263967089075001450602000920891124343261853541651423316743219468963597204332661314292861143171926600584926815151337004911005634060894813414722528767197850456716045131954605516302738249190823534233723970283103846565009626414027960247047213
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,397-digit prime (261 intermediate primes).

Certified number2,397-digit prime
Certificatedownload
Certificate chainshow step 57 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004880158537 --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":1100000004880158537},"decimal":true,"detail":2}}'