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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 #1100000005812404296 2,350 digits created 2024-01-27

Value

8577643208305515529393871503034185136356414904155572215460997952702887802160706400435187368751160492478610871368469234729498295182590819790030406492073841819191704470071470986041529292103923636368603706945423847228098018753697700776803157830844551688111525254156021383748011056387090863771381283543684024455352937257390120185626444676122614366403700902172887497299239534728329913362573332938701895109133684863992176746959208346757595463604694892407091671552061956376299709870176067880092568781919565457675710469345280329270619108118053342688595640182217641043527708830901722880093870630125520513297154026448666140121846694807994865595046261185846556062490145000047852248853260899388427054240035681598676572216941409521838846275022087909908910781501752088911563189607987415771609977103812998995023157013239591495768646489053893162797201385616209632010105285560378705353248614851550477926380285399069034992188677545968092965421996393167590528745104826311415422778915348510857105816362253627357879041306034495431013632127198757531924939302444259288900491318235749123619785854810607059187640634427196104570751349465090672563102931027142725175803267082126724257204117185830739161949093667271418157592554267423146492976716548127060407330838062478517170115228137730588535660464346410340293909298601647655952061588255576927975902231086284474884008626311683342830037055805032664446993726664836448875368818538875334095764425216128375979974778710096787347168639623500552420894655418751959714964768302970700117253041200362524890189464073345639347933046599049199456441874349796298259551212344564942003022933488089633143095498114883070228434495155778674517644062883525406189637152482063263303519859633697836590745026268135544307977459527324706763789127877306720878573487054133660799988099770408350239808968155333196320448033990239830274452637099199692872993053141487273550132230256770147435334743115058489817409320030375565199364783542166662846493572214796996404767184487368469907709937621900090410534414651970825952957702762373362680193883972774817117567201834080821675398352654094447800410026629398785120658213267198233585836736644885157046068623963945459176716119371821363003987918425231091321680657908928426193865506500206985874821331533714845745453927586530158022788288171934025431009628302700669021601725211830161147678344458877092134334092588188019227061461
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,699-digit prime (136 intermediate primes).

Certified number2,699-digit prime
Certificatedownload
Certificate chainshow step 21 of 136

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005812404296 --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":1100000005812404296},"decimal":true,"detail":2}}'