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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 #1100000004888858316 2,021 digits created 2023-10-25

Value

40920900596527822222995426025237664895313365293809183182489628077117540839428055394943730370735268700989198422748966966508119786166865114309213804971436999728457513106422191382460616106451880682933623174793625066493197114777652870681939625634623972733215431050981402514577569468417053246572605326266653840747219336436078347614356898529237998884441832195642094637193494065558689499129471715344621143583950401237401641282536533804796355719127393347133717598912957856632986219678076944277133780302537792009032903031929163851378519645992681511386196093564659924297065028900839267711632570190651661810402001013760871519913804907812503768172232005696850594398596167344543241957501321857465133975081262575060480643252754421220319129897531215866130816567829729034045121156948320363174517044540273633690452225722071186339769006875714108005659095874919397586813967136215336140063620212159356457718127160021903130897910925143944873745146508335471466541953966444775372304882820389508478575927539595988702103051316408542725538343407189747420835380928761274139120519260058344665469585961286820610919975328689008865587691527209693386332855121231927913475023192796678951122231480043457831257323081385399202175644502646973844170962538553856541465484477645111187814017807177554775791914376676167678281016519467542497437836695588663852250064323708899286373220858984885649949278131609100646764043607650774307297924734753162599112582368568703707074639905735587920705073443579761284102189687336966580662051262838111007559534074915919670522564880716604404609147048273251978330503281588639081267915491131286547602061930417957672791537374525309527738885403547110863197730021146292123486971019252821288450815091205050051031233235507630312300511498457301239759690809479283299438720765680456494772010732022890834133283286799516439631253084088232473975956249899186159994007109810950819945862373675094463560761657447450390197681627268057810041298078126129626570679481398838772938451993393275112555689680864972349079268645947778723699681867899074622951
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,270-digit prime (261 intermediate primes).

Certified number2,270-digit prime
Certificatedownload
Certificate chainshow step 31 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888858316 --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":1100000004888858316},"decimal":true,"detail":2}}'