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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 #1100000009123004950 2,273 digits created 2026-08-30

Value

35445521311007020991071375022595835003297082273349681169719903309161906720543316630195217830751646418586936388581603446426747601799726390118362477847227224209331254589339884040889612199170712025664553774464678683528113939458765158045161721652970287777406971402686902110131181520414447450578029727900575207551237809146310983562692933282327085316935093394024354796067726164839284735239132176639356729087884940735944961599807117354130423524556529186867134091584807505954818564652073466477339588501514692211316636559272873679698525708107991226863676956111093948074385493082064158037361652131952618271679120957766895026740885867338097682645696930146741371018836926995194584002054557873409851725283440292845719863797097803733426793302850883554206810394907761170707774010366560706906664158235463685637705056719372532695296418380235079428655131279562159958151629254897580152959921760000806720731256441520235839121375285243043290840639857027767272885218722033184605607316781259189729175621536939860581009204884043134684041794508724547504444151563969968842930767643500446732602670101011486166312394208558839254699239934399866986610815452699453822936893352386720670991580911590166985978917571980063767158368413121902186798827176187994151935976589668962892712048091059465530497943357878540087494352890358066545828269073130354089583305186397516507062055374355197669485714685605634406121950671067574162959739470122671546609246954810895426971623083707150060348394712662263619188785981997169426762136515776568451471949797256881575789611190879076887480564610500347487241497150934316050891122512441229103978724170035333602607452465316909935569889510839412528975244723066653375851550392404552918187110518250150352151437777579533989094558436805922073538904939153710498580258355350587993647705000306574745145092326546104715941005190499388586172101901082292283938560651858626582133499204774750559554416272082607712862396891305405408413084880611954620062674568209323956321689134683636331884434945379222446170298658243791252308783228134804701693007169052625052619385428928228458939292980166843847763995767604224423626106486295670634518906086265534803842535172757011881001612981108891831635420707919474346424074679772401601783035638303773069844104234696994565515202074770760124649030778890323540581
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 3,053-digit prime (315 intermediate primes).

Certified number3,053-digit prime
Certificatedownload
Certificate chainshow step 72 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123004950 --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":1100000009123004950},"decimal":true,"detail":2}}'