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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 #1100000004870292684 2,323 digits created 2023-10-25

Value

9171830264546388489001648274941210402042918116574698589659179973706061356335182111641812213557646194354261895936277858003434676177641918126714242083070459472064770473690192128555855885825106732342905165562396370736656443068284499417768487143409521095357982510724483444540207473086733961412440730676596918722971511777240327503362813843004321918456261971263404210827347604875194537284058688611145902229349612451843099092118991286653313170055202423445734005687926497479889636193719161948994514277439421814727643928310955960270605216568593810025448496497175393319103103710317482055318853311512912063443067367725514990315423848477873880111139295765107290860516135823858428793920221838296040746325487541366596159341547300952953310668101638266479012835900136461506180289788163337901993029088756196031879831938342779383610820509557544318664428252702743322552996372012995683657603902495919419065082771338007193157278508129852056152288268603122452194606400184794466216884190258750764034291956409195135923351037858262984126336961690731873241832356969870397058183366450274475916315483590130404489237539824312294795509269944056344819571119097146892417168351753814376797123780762306149959166615467549590785197304547410772943575011246719284940201463039604278782499763224752201363158068489118420841407575302679725021192259486094598442169338479527369769465781266002161607515946056338732302832701326069988834524208689391357325448513795578805057427221772166324441871113038223004337380282392481498639661348088200249102461219838740348198668408208266732582070177623823402975943869743356795793806472313206283734349540465000851850634608469921822827075957410977113533094656571406039322406706197369418054575893608269959663026438824035773491123211340061998166204738684585100990170139656713586158223545190408711317287912936505171773494555149290037080456624863300960658816074419528295536787661014124805356833683105621440081657625166822390493663675914633338254657091143440290542405171918061848273345751778479973947329267230653488541754417176514730915832026361098705140218365226069153616015458921645356361302585602874751101397302666149809328000591622572474622220783303064406035016276484861520666903224003544554440798203942882058196301133012355796050681525596632969071521784991794213324442594122154747342549253315826519541051088864945416403949062072246027
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,631-digit prime (370 intermediate primes).

Certified number2,631-digit prime
Certificatedownload
Certificate chainshow step 35 of 370

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870292684 --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":1100000004870292684},"decimal":true,"detail":2}}'