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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 #1100000004878371903 1,822 digits created 2023-10-25

Value

6626574752823889977438147625879042571167389399200457024259407501274016782379370489775541809827803435712971796508521230147382165617801212504397267437027153599726576260441253889106609283975821766602179892425401210713238325256630895451208303901441633944726492222719382772834973909049263581945115089815722612679938531160900251477513869640676268986844130060110722121077730745942100730551045820584098869331066421734883586256832593796902708651221135958647350241852279314885151047502870436491311200732850109679536273097846259837200156282816570836760906971222222127500193196195352457565415631748780575178889685946931571935544343778670952590836397807726088591420023743020944172918319314475717437655316714252580529640566603788496074035472317487046108137758485090511967135323791603835561453620377105765485266597545803034433073004455491421665001325878528009571918426215996292907189227833566049514335904698176684076958016382086937747703114993375494989318019970580012524342718397321122237260763351615122581727295345652031096820864405181359526477489600901462648597690785978156388999604904155308057296970426538538695800397747145689632812822286463570306533320069141331081194082200603471207094025509111978001475288843264790463033968594816618944281571477498149590161484218461676446479850969580263064908003794285039445196212397838986597493158353241122193547618434502085358240234607126070486518183132543431377551391043905888240130223256241390028064449841388774763449038640397801880464891180000911031420662199957353032330281942071708652380085364341479248003768488307376627357487365257595965583455857022714001113918503125715150453516063701661132529255170233815905268750609088553544245307500360054067975186060067379622651485786195075025015582897944101464607825112320744536961157723929005726945227708177082993228003406032762140496000165073399065011
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 2,424-digit prime (355 intermediate primes).

Certified number2,424-digit prime
Certificatedownload
Certificate chainshow step 82 of 355

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878371903 --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":1100000004878371903},"decimal":true,"detail":2}}'