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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 #1100000004901722258 1,921 digits created 2023-10-25

Value

5216641838543844646181328800454180734860137572851658122473668883920501601335805310704711535699960410366543814328687553412636872207894270774524844317938058795300012072223741867295559580911368371727677908373438758337112153708895710249324351217487324595651854934238053162192184387112548435340042693423399261816600552168389806537406932954155824996155621109948886378050632424475086100079832602565698140728754466260044097169435080789761896342294570037626692845902700461652369334647590993104831618557698464961538319627760019222806065090484212688603260969057983539277866483954377786837882755525746668155922055400895931743411035984074909328106459890933465684064386122297163573122761587070900822778368334253232894007581070558215447451850745971950492128390110634527490969261616101145100872722162192554272547684290919810049921901780422825750222154400471082118395148867779255343237963614637486218799203129430025393807767850139833160026306160312761651365383576382887080069785633852122745006802858853191811063214374617940921429513637333322946914002491327350474360552098251242130146397827336171731030669066990750570536118410535254129117081109988676311548603762232626512579649552228297119392450956018312174498160579266728548095215546716223182417340472455831463947452837347006057098838721194628826385912847911412384155130194624694486629484197426987611174936592793169784198499213690716467379557811542104977814829322880097197149145853490997529324597511827390461793091116702455508115161323053441112704630553371048388621719195513670904918450122575742885948263846882612804964623946649062986092820375607961254219287376199479274501435011516739780959564834338839043530326211965525343142945266545024336282108749140741058981088762349436654319194681278997448572169190197004126059711332690871299305883775229221099648979128554601525684661153483422586338316632181747553863784900441703904422037349466868828720256163519320415872460122088931869807776003847
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,039-digit prime (228 intermediate primes).

Certified number2,039-digit prime
Certificatedownload
Certificate chainshow step 13 of 228

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004901722258 --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":1100000004901722258},"decimal":true,"detail":2}}'