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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 #1100000005812655622 1,895 digits created 2024-01-27

Value

20124493025675295867033262620011284523707632526700620136723267474187396549873656982192316131559664434227048401285247706982349111949912352019203620643006435009582057156917491771117638202323363542206992985980576596862445494194200810011293872547847396357382268129328296235659692553039097770759400226212853634579674772909352970512453559391534257988738063965235956400757283182356492989002955557449217228580135102990034003929520722950473284726496844817662971516060378062596462529113614783737561622849183294958550812236274808420571328923242876054990694702215834164055698304231085797030573035295322043177906495995642563114177379191324364839082977069657832168715406769272792857300481907814712118028483610125085210723952792081683961478242527206016137945408273130428062494106619841272348077736808219585945520287871737339111037249379722849809499824858359982671488844546629447651949893840799207303782328889623299803704461420290001581959257053816740121778838451482861348381183332335026826307777957123384501827392807782274503768933995024909529076543695698429989792849652706782264469510520785797097688254758818168365229062949360784577584985104328983342780797663137439458028429851769228066673522299429276561867807038020331440981863127954422002021665740090399130800933478611909630551308040053818828885301347672689184723267012193217493176325964533123556706713224408764000829666332361247019614438686853341572160949114534112053443098866788242886097673343931974041280368110869203063934345718632817436868399192144644968235824237671096068169086304815789799165039295648573529289175941980229250413699419612764328434915559913235239431618218971119662265360510804945875128159534801375265427502632039082477323413155308432730866479136290378943835570994955869914317247703649261455497133448744513402177210513013270340731648283182553541731003407092257310858760964303483333002390565797686947128597650306238421190521948088776392191
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 3,100-digit prime (159 intermediate primes).

Certified number3,100-digit prime
Certificatedownload
Certificate chainshow step 72 of 159

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005812655622 --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":1100000005812655622},"decimal":true,"detail":2}}'