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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 #1100000008823081892 1,953 digits created 2026-05-23

Value

328345570245113206546213875515773469040324014846497103466284624711489567517750000247513811064485474828078156257401037840026362680216894806048698189944256928704555186066812744849632848079037701982738739436478245347364501696481971626240388322969351612776882497422883729162265322635643706603684953621906478959074592899698484902097901600377547294159967579593207317915667072838560444923854224643256895887655180458868769322629576566406513594061395303785128047990089275372125501760073286640693298636101765921507555653202922894958411825710246161018729101717450174807036023131771026296727909170156403561390830205674782339189402997374531463376567599859616482264593639206406348007554835338784724824215242857072722445415886099993290217966330920719203139132861661350305428542661025087577158962104716748150167460687365731547818346491838582538017147499876597664284198355350347368162161872311050760738825947863914554082697225579746727808784792264428937620800234417668078001979583454086339750726607565982989086390008119481033581363802131403558530124727621840411184062214649073804999146278002909968271385679105293393490696800110922706819261876154977898013126293946749457472527687211247722328321184469927343107611685301817093882395588083400836964312803410426194977996520372942960962157108068807289855514941396140517819780913823496504534311456585729183763488518459796370435253873802602462222444650123073224118724183123124831668447432279244397242338121045162684793931624425264630695905421439524029829931327657976319486715265679131489537574512636926582759329383233487874244563118141388933492568194317616893579259024483562570766752665775591633320354916069254414047404168910627980233564937112341210992919764986805776949690504561296899325081641797860619279824575674277181810652980085816809410730635604861270244838840317263745511583849194059193179053916150357673716009281927159974692483728709110408025346224274862557428699896570076145473633973294907850129371769750625335314838977
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 77 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081892 --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":1100000008823081892},"decimal":true,"detail":2}}'