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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 #1100000006985328523 1,985 digits created 2024-04-21

Value

33751413940184308965372785577512503232246450348431497444297472716857872392007019393037901961894430635943988175666599509063756171910224311667274972901115790991095902564743606631456076062655750398929779234225577334201294963007361863140023584611480835286614609142339258179633017846859290967871518773279722909793604201699501691591028416815897645082499519091154247846594462051177248757540013123286319252179446236193679109263021090338621428595409647018396868829346096465919001297907874155980040187683082578091465243757186563995685998728492840551266944104648720617318283561687355388478948615341689149432086382701803904004543798668806009987910261953896304693899440902011985568216767223843484728254127987540592460716713692866746415529771156740767212560110889886678184311330450161475568448081582761746897297808862149722453492230482604503740681068410308016477573438531988823093265624236633530106019959026939069886225887141118214998552188747986935035087271768540685693244719285016512125638067487487097138660741331457385110094006684724318328848164234326135605287216332572881454197857565375051166649974786012270282706923495354943386174800147062051504524943600153380377273923373320063240319412703738566209652401515422293479480235206586858180490474095980510373257505901690456313083513043656526544539101325694659824920339442487134015661715865307731221378279045660500773680750628291498429270993586347122211006068446987213415653229098852952594140340880536640339910640463881346665191991975222987433776838623513439177645318835306417898899041980121065183343716361039136966051126557238474224713481799485901137304841480214100095746739167302582412615146304238998209838575978661330081888902435093134613249900178664078125810086588177643064625725093053255446069776658213332253020555497633346752364806094291453434628573834254166244881016177893931690216822205709801352446275013773913576994279151328228569425401425478042992949786931465279293975840472087454715734695090266308379287773992010730220836005789314082100391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 2,867-digit prime (317 intermediate primes).

Certified number2,867-digit prime
Certificatedownload
Certificate chainshow step 90 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006985328523 --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":1100000006985328523},"decimal":true,"detail":2}}'