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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 #1100000007222400873 1,992 digits created 2024-07-08

Value

147448081528472888637780874577191018404611982863472930283058269817689145431983986415491598063959168722510611896546760244439662790228202516422247905654063549096938932951854622513009988515165271100813990866424941061780213269057990585625283876067315435469166284610223586583986855989554162978779227857232434036315377527405414948743130496814476788788691531995098601692237000705936442847316687241399090330691747504124133658234243033472656198024791228428719165425732036560267720630909424347074693613208757015692192846296526442658193085857692886061141281849471161268924993723985745704929108334035615771650670828334319685715636362575001852528616259253325901596269442144889124351979586109208555041060620192441648414689921791230425880607289228792492154920414960008664371599385178706393489137736209622724202518902586578178069824158519407168258767193881117337742528323984685933530519940031563788399954218334598107149386085782970283302579693690545526044264060964079489532970802170066613374455800164875466951343230447269514764128609025188415410874833479254422667103908970492024148098121144867184864282593161971263105005054151635516784788432707302136472382094880767211667115983346245431582374479929290615555678395947437435996523530326873369231378301157885875685582721642707091968619003605760891185338527351266179504084345121984524001183144649303311128792065635295587764363531755464839347127581594218924069064631871794291231267468140508792082862893331089602743770152198149701051254305227738143883503073248065871636456775447252774405920937708802263736652122121023430398212282958106537887700942994231314553032778783664039502908917095723248904048096470552351833474538053444037872729042809834281799114874096979846534803403843599151097997851814899478740360256880498575086127760736594020136788627018691416185953668226273952540555501850979061531675663800906823127437731213413804672657184233400057181631287022956897612104264138595850992393098653808414623525617650168725780301121599983459195340903636801072298680925759
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 57 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400873 --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":1100000007222400873},"decimal":true,"detail":2}}'