factordbrpc · fdb
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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 #1100000004890742861 2,212 digits created 2023-10-25

Value

7210256892009916378485428020798104620747503390146907486229200548788761501688180060191267834162244068422120573861935952096262118535835616926965556740203187581787660164860204324226463949226516815806734997151468108730544621834016384388114794067552631428173710648012507284248371100200442415818351683991168312799206551513058153244681126112831565735650909728010831693982290542769578758721944650760556472088703177152997027967760509246668040330173154927257532083174089039425425781953251198953831883031662785801387111204614399960288192767245601415950657453092332877635481799578941237458423224974862004114016939558002259256349091168478437798233105509302409867994385821752864295043643666081998137665174298164549272040133276719182969962152342543645425059453160345938848299916458168148708387046927462448180190754929384163722598299784518011200062898842613351452251575929525331992703483111220104306046460245925690615501145247082934040983821836660439882004066459351000471006376044915016928879405934993092918662022451539457990821028603677187113165801218650918394150792317629610064427897978884852703731353352439391496293491070189788365899156185879458994694141998048120576168784797205285087489648284004382346234511214457358089312725530661624035739254857744121813551892067119278912702589600601560438156008515178160117118987752407854811962190079941257216900185845972204263976760210907445163373470001238219798998132500978925646221628809111122233225393897056717239302548234933533440302632987701199248342516084216504850876208305800503734939603316699013771604128750950156391884938728160593359818422225329251461766864820302923558351236029533871937158215740492124784448385710435473844365916238109587960944876978415535275368737758409073968170836688457938708832327907407611849441590318700108092351132794798392941604698029445176630112752436642629455647784220747502313643816652859196296041689693488213597584271315464109058204677701740851309187834660992604346928988836466816595597783317827805759572227385148983167730391879079191108292963400366400786128829255962169085555505087960349271277492237128261126783417540195357625405310753839382147831009993678751417476422050400381788544165657513741776845717017235782172899055425996422497033548964692727
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,229-digit prime (258 intermediate primes).

Certified number2,229-digit prime
Certificatedownload
Certificate chainshow step 4 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004890742861 --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":1100000004890742861},"decimal":true,"detail":2}}'