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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 #1100000009069115622 1,835 digits created 2026-08-10

Value

83059899487735558236371004530810426911868177923368624767043304138013857845531179411693510275746921064284495468905668686440081977147349700468648987082304098641217774917998692624152368355010391893635512709242848111218564636358519660159886980530723685184609207737889111395953149921397760402629666503341806316654980166183945893768867728810108669765127842750975551744964546864503776544676958056161604908197735844088070026815062458891017782923988414406747561867989053377320437769957551766903173116035418765037476617590759774892788189236830227724872344021318287042867861201719700161555230619155116256394393452431332050524909901219219571254150123572165155764561986347053096604881971849834911234517266450463596241013403924176895058089917561557500600480936367588193859412333677626042123326427429734757949012672678822004052521778173644510755292940095798418432195131950247941985332720737092634982741412898160426888507597586563728690488265271481947438407775117894519375159544930445579335437859642535881202715967384866751774076414479628446141399070666792238475623691761632122900372857331394741658703163890974458376714553017948379894735463181845680400157615382445174731286605639989818251552800506743259496635805325378313111058771475941939539254676142971016284316202444227100307159261214009573149210305992066863270521320546399210000440053658834424344331172443363887631185312216934541111160561213580505237277257560464145585121035529558050385928073334114148782792324821351484189610932134280361294071587098194637605146832094579451835273705811936300603442628781215999111617558488827071887225325940921661465714866379566675924874951536616060533635533479170103895752950458601596453404063860586233207373401065805828146776084690520440412902997099525522295212961828912911399574685027340517724694622702245113388579199234894242210413004474748373256799380245174083
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,001-digit prime (152 intermediate primes).

Certified number2,001-digit prime
Certificatedownload
Certificate chainshow step 13 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009069115622 --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":1100000009069115622},"decimal":true,"detail":2}}'