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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 #1100000006882293897 1,838 digits created 2024-04-05

Value

13177830842291453616491445806164603766887152486225972956892957365284532699700975234860544469251828390993413061895676734244151574158016706327639394257110445949040755166913534732870134308966908766426489291559120134697328419975095010027845469398615874542630823293003819318467695867941506244223069057252193387098355527922619947958725785018391472653944230400643500843579231321393261258460696240804951070017157648732758083034945225011279330489258918436954529888112849090611185525058295874930241181739459267103422915460458313641173025568614057217061441532530396255287296752944583822184504811538663714478720741732485566304068177146098337297676527057164296350627844036338412301722403582475365712959990089205921159847929073909053244272838698505411750021122520586455719513534166913263062881147983425938413582256450545529727792173166288689717738751168652366215880598875937816847773451089589445488208342964924956380138255953968585182276246960264859941987710394599462458263574895626787130625958866876866312591057879894086819550737101958746381896025644293343333139927872093060643438744349175029973083588420367589762759116926448747389699517179439065291775730455710787787927859470774875761285454572240674301780181025430101155200160720049101008090323530514540775643622677191002770522608553789336291713493072398712951903168658675721699288662490504755074435822024118407945007574681455159407612481290847570500217547969246118466357396991941541926840804134114277139708301576702516928839159932240211669630104055267811916781780225778198636135430136652373179915353575547646034395938402799850090244064457486222314798765452213444727342137605598246410353174397773141517237808993363322874083096377439720665319132340157564715952188391678411348247310781242021967258749946939215745188300798114490323066324104148415868888006436455571818385301820362749767781998792594435739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,272-digit prime (222 intermediate primes).

Certified number2,272-digit prime
Certificatedownload
Certificate chainshow step 43 of 222

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006882293897 --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":1100000006882293897},"decimal":true,"detail":2}}'