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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 #1100000007222400849 2,223 digits created 2024-07-08

Value

444815262853697359140248433910029587931374863703752634314730809523528290784538621412195279376206360444033580607331791708499231181324431662087731761807709778130461215145644837740451960085203649311518773183726382548030553615962270528769299363637549464562765993711915562227030032441479874115088618019070301309199245722735584311913469374435832656396974501256316405565828586555921991888501370850235335757487903400278947984542365495614689746026178767366622221145896647905683172510338803502959359117464578621887125616103741906145691395658464873380214144590946144653409817476537953714884346574214032698554504462772666835623455409236793333957515126360184533625877402130900303665634949767124965707933682656482886832411035833608467321619495242021877407949906783188207580546611187524165610788448626480289938409257355494250645639635548331652998000234905729390398040105667982380053655448846484169453386785179281905534839522192248536153862347386595703665071353415362093295846372938564415072174501916959738502803797298799592565311668589751122478491090248578452573819884256212385586322979715933101575027220668084960392547708999019931025551624854814397578698349858893996424956738284129342612040270809277948282279409278029118534545809333251844802974011393214001589572001509759641804441949172652909816600612255258713454585813326625164193628378974423831295565179739827891862413234096874009277613020575990112976574753486824110382076430694164108788144896196014037834916334524308300812207112523473785254653643430297065306504632962912967426348605031920863572829146374988593725288751843206328066594957814339562840743834871878833865879018589709988762121241119456257715448554195575790565629306928600087362268347191260101233513376209673600172576666163038747719138737806679636469078773565532980769901484402247211588504441552740375452095098574216890011335425318734068967122896549581189511479329415217278973250548324855922201555382272902486803777683679651788002298612129154746148568843086981718688891360868669242184304266182510669632762655319629082881335907274051782552440237486692482109056470048350081144178650898012756508293395572799347013184349889087890375984252690244827909608248048346389090971279639767672493760015197658977184348204880632356592607809
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 33 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400849 --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":1100000007222400849},"decimal":true,"detail":2}}'