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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 #1100000004858703750 2,100 digits created 2023-10-24

Value

167575017227635198851832998166027349341361524002485516323631887826434544734973245254257036733485505108149331494768274624449021216528449290820314136200071893733484845862130237307983865792910741795141899480342532154711712328878099655385624913236345262132932815779946185594681852382791401181463820521027289528487472954987143222966777147595575759486669903818699472097892468293855016381563943276390006923750884415362830705558695529752211851135167771267115386370383757246423637340745129830196111807122979228811461785407512044825094421202502177684334382514633366577054408095872815879091680842979474123217785745958413641652254230253917634068641919025984835680170587794928012271921715454700035926734297280893632289037744531314139421843047655710025921475402426822500385086360397208395790915209498807538951471743775384751534345429792226593662904787883051988277866587283055207103430253037584277224945426663054688329189626082389691090154297537623737277831219479742217811820606820949641906356303842288411533179508060282237716389648845410604100230680585308865952045983001214509922627168014884940228175968231448036980430416794042726845246372777016470450383493016165788126024738043705241032149492800397497060276680028593601628695701093553275011104874988817294261511758874147831658647509329714912319024302178744600607279278527293067990683243133650173520484816653362057097004986713196770394365263297264316804360075748749996027580353721159001409745853554450192863584298269886533212516771000311125466530705156620097572785176542405012517060501645296624759427406121896059495344477470165461643930696070220738619954025058307950677952621324248637287736665714511829148902114725036979054364519515546511508292944688508754099609137868957953656412894880247436936556978549490087197397429326680906269943082280882387040942401903975847583124685015615971790859842400081955416624688837507271906370879659636024267348383459652993808332085466748255993127235484119202819983312160976172043715953322115051320947664082533663923120509918098246253151777918301104217948451210339528845558391649995296108158406781293145816167026759978278208513162237
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 87 of the certificate chain of a 2,964-digit prime (316 intermediate primes).

Certified number2,964-digit prime
Certificatedownload
Certificate chainshow step 87 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004858703750 --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":1100000004858703750},"decimal":true,"detail":2}}'