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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 #1100000006985328553 1,952 digits created 2024-04-21

Value

16816458067981048899797100291119699283081604561764184766392620344880533541747512332922968778397565036074035779519630914194451107272128093913007721287176529396576479789563894077480087121075520767393389023857317499085172366675558732180408224646363993849058175011980500673259794048701096100621230144508474563801990583290478538800398385649097338307999908527423051488918563234296177584785914651589272938820493477791072671379616838783411920641467734743550752656099570927013345002622329456155024185221348511473147854007165079978608964998902926268542685353672895312603189817953889586109635672319725323777199720315710152119958953490119300898948079293022116656041405896684417659864818225368927076862701715208359809817529833664334768023959532252406957785555130930734593272501439050112115834207471160098056947148710230939825164749190026762166685553155445486900443161568006414960301352867032858473843820064299254298907381819033488394146343223420032597295033337225795437065592966706419059962524865139588286722975410640084831351569861509901316506609628219741612326680754588734407485960351979723889009718413825513140620205529164742455410600611301217482132842598049075203484453958134452714639701236898118266626834330250896675105758024572506238807698100511153080538704498728378829585562735211709138717011832876003869379814462779634137684461947768729614061827948623987925745058730273415694456972301111423845266927557913000835231175006456759154033944895688633881728946666365441037388878477907357022976516143263547849186225421923157130905777355321180755443702991184352385683114582480108502538850683833925216162643864496993458865609300473328981316919124458986169355923571380258955490060480958877312058431592315535728108120281502885046611818452211052544988664779331410376754407422248712290834651577578104936611163477713655445512272433805591390266765238664242018830865413506517920554626869737796956468634600512670108275469241799712075307144757134594396435209621774861358979373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 2,867-digit prime (317 intermediate primes).

Certified number2,867-digit prime
Certificatedownload
Certificate chainshow step 94 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006985328553 --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":1100000006985328553},"decimal":true,"detail":2}}'