factordbrpc · fdb
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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 #1100000004842738920 2,451 digits created 2023-10-24

Value

685587738558960705767412534467691017429152533207134732993640711239707008381334907684499754499789337040256760338006751397235301698618224728881366622657871600209607551293380896282946733503383504951207052319845966711670959183155501269271331438807226111987784260699364935733037943535805647833060199289945382148055089214112126783171551824761995097353797207126604851525630252116133496871514046898481451727560921160592213072246426322027285654799510250248266018161877273704320760442294504074554610056451379439060297956895207946295194860050359355694577980487788679659020923364221665203157595976349975178019477094589250269546693529340603103280430458327781783665268730531799768783929785772112390356613241605624765575614615516398046360810184476145678697036121444478728457488765046874589863516829520957361422810996078179243079790333708069979763298362678425733040942811360373791618542901519140604411510601993577613153210220760790096555080253833738222951200564487296721473139560032140194906229969180560660680331518499576326818503018595373963001970066353305644132506186767445077600840456674722269298759732557629505448753290983492444857720209198366988304067069226654106134798208217482899296512030490529755148955804199226772582518693423294421346207247268691974455897658709985852447931784007775670515347143721258528381855277408342591445798873647869389072557756322671887183035549637469078566853886491484443419929349893644215442437562087901284337473901893356879930567596957506904894832294060649550229751775160534095479775273624025383215479102112683050372777387090897063655652284706818122184495709678318446925730693678221599215392022457624275050132842683311822638991151929210088139302437727266925926181502863375198032290927583408404348351435398628712685896496323772808910768912354196673860678841494203309810830014483898378009322771915698076826472226772936933560520500337409337190802283006268669487657865211380520060813241740320003779116897904491675361416173780157352018099917633582469719048560894082164394462916106007989552868946646226596515357346245809255956066004941093290279028498431792829978548421754090590390628680101956995752930875600920355109132209895597586934325016340005706627485748822349867352801195692403847689318710913935359529468780534576637939378213925738630170128595342833643577841355404089429250444085724823325928952993100036400004714363992702033259451925608816491031952525143052382930439659963111877806679464315199147974409696417151076926795598734876455633
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 3,395-digit prime (368 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 99 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842738920 --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":1100000004842738920},"decimal":true,"detail":2}}'