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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 #1100000008793018657 3,052 digits created 2026-05-07

Value

4544621619608741947904094544818602010991508369459209251980022390756485244547539620185877133132731332461497783350637111711053827485416161649835483002115253860892649624258401656466098781557906186658749375449211157225759923104575177661607828763740505409556467627520878000769981451921855447659591963329675373298075479334663580858457166271175520724718726835200942626840984959997982442130239316850802845241318468348382355538316252759624523578235218279557530266576859181057277430946671529253202569469302241881207450315232463569713906713080909159639133172591068489372446129582012190626896007459949334974347252458366592816642440448504361061369840433557238779663647229921484578332404034493010255858852191231123405241627632713739973330040240839140324503374135271885721463191973436723573137927667571998053137440469077094871993109200398021407125864483272557155408378884186433880959464718776052805650783999108527602493417413435860458912227473983042242998638623360265961843619217787147561719575780293298853787940940649550558024272222710085996444165929522393149467654907820400739568615498753862580505462428096967160173961239156387603819923543136543135572699094948284543838347532459618863687162356941888756067434859867914701676495038003285307817168160559673595127589148240771695008964757193836454647754502025197138670168507903012095785617737368618742581148759427782488857645331618096203294271935966903234222607641214473249671636657879705578280854806752160057767512979913241153798225641014478278845547377100608962823577799153740580591184234383436836273572810193718823996816103733372388586359366161340444196957179049874886909197218999853466603628624219097663232760866435215467061102391887659912665536075759524100314667036176748841311808827118538069045186025682568202806406054084722245806217543141987482400450063748262111813423526479185757974836529937435791746925803539562265803697429202463365421442043804206541073504039582110546854461588820082564883042060180185796617998074900305321901278401351619041646120031220742388999166627602612533998338744216520873505372544166805084042915549441796145156475367305891444666453216240581191612925944764894633363270957392548808590095361094942659632636448844969295740393115615201995727851343616403766067303686705216182591493629026057800181011564376580986749493565507822543824547707076615260816205301196362871376070245477989443551196942099830399203919280107726966220280309431994045018638576367571756620175161505940612822276327405165273199316720644182188219078151041884518349314119411330665268689175786157965335953164933404358748324840516234003354429501495274338506672736654292847642943655417488289498076012259557679828774646646203451430105599396425990906917736634046333709293365475592665183480516613277277106740881990534038379012502078261389028099514801102609699190385865265867583211561394216547998425144997524009394081357270119904121470857862780352034602620693446936026592756968388297689864490881848303883143846164902214027740137851129962315203310533049848536483965560363443850461107185460247715122878704741770367957822291122701619201357
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 187 of the certificate chain of a 5,735-digit prime (368 intermediate primes).

Certified number5,735-digit prime
Certificatedownload
Certificate chainshow step 187 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793018657 --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":1100000008793018657},"decimal":true,"detail":2}}'