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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 #1100000005757750412 2,121 digits created 2024-01-18

Value

861169185343098324692114786042211987399904733643357092023523161691009738160741995124200058471402730091541201301983903611352172629114490659069246279070096741879476754953803424405065314668994289047767278551829956135520800424417336241000387361144345408439972829936315998658088591933840999516084731519088062284769243632505312193824894025245222231335417131332657546089400016844213735872584595509704568020457495989083909809984921393489372724785901328467484940712231811319751978261826978736686532250276783627750330760505006797727507029145371941843034849923191380975256861476310777446783122638111899140231612230960087659872759339763828395300973303645056329997090088810704921657616269426204381641098798060085308118914133750530652940554779350412825271330273935085812927611568489882733246001609332856966317078609458185514083675102813250789581237023139989354937063236433038298368426008890151327932953364204187060045145544106568432581901357662281442509469994601770594414022953575917573056976063594620240791473658219806991409437420123853586224709553687378223360188304428078702597824383700058553486809017233012978952962571007693398741219900238884378073228093091677055525634786138125110917049066141980169705851521335761521602791466463227661035477246696731966041458977636845330184113953499511058188297192630318402744587837665605364345493609398516648575888563254658366944319419216786937041494920587896422023287263424747974488263325261936839483871049603017595502520751812719790990380394454244148664706238835900582219959837807892607513109723511032716494803992809834452363634182513608969316972041837468362146127694816479167580284325701659076032749534710638926875969938527785372154247798499125357439069117013579431818493545536447722310585814443462355443863144605085603185296585644130415339657110436823661351698711981781049226570833694456968522522159064864987288973012067912524702250458423907423017715156442249944160638952986722863502152122370593019760550049226145507401534189345865312534427637407213424766937087271347250529216509989530511212343192514457725153417527044501156705660712688179923398369535075655662008595346359685380242372550671841
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,574-digit prime (197 intermediate primes).

Certified number2,574-digit prime
Certificatedownload
Certificate chainshow step 38 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005757750412 --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":1100000005757750412},"decimal":true,"detail":2}}'