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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 #1100000008678589430 2,114 digits created 2026-03-11

Value

42886075147928984218465915106754631560714014426314395322467825526407645544307039428477833873636656480047255097629412541767486769776425469600910172506300152482650772743738988807300669900650055452465735084189569378352716773277503675726812421368412022533385553387621555718547509488121488957308556256931769770311378325130945458122053740518834760439124434192296285667511947904060758663763189579539073355089798519820017523548058821520623936006180722249161945423505894474652811274499515557449243361861715861164603724639111097423119263377731831432038861694794425375034172289057562543940552597449017744030486498873812284981362427828495786516959191875574520698935441430610648961188884664790679832996817638831283332633936413245944122909163578008051291606546933297356233617011487497765115746077088165791012208143682821452935590176335638559985552698490869763753358349775577607745691576239063960097032502891295909337645341772234042365737595607478468850914638385421101863203236687043936835942639949356333979787618311488028554549324351783795810075088965079804608726956273099280186723218590179114858749574076847434964889501343277918342028709767527832051407757780741861420938135585907439848274181335473780814162477231965414719588660410088246967397661842149861329967019689169732223272294495437295463158191560926685803015337145413100554140968888822065023236083355945718870941023358904866263314605313163691789053457998794064681777116211197955791437776235511328051414033420403656838288679206190519395570710863433525054494572794551553657954479140864645691630538094889991983646318758322079453102994761172765575534508758730418236360852040277264476921451336565141548489444682476043890874257495538735664795250907779351630797354978908488869816846560293757173718408552605089330453104352668687686686672328931436481105681998686405463212735076399358690253499241681605768640500354741340254599094888853092231380630390571745319559402565961198114882011649172746491740697398128887553758295338355118388344842173464703966877735049311289566319690608575647260792509140564489416635142887134720072135806903777530685187069330548051501336666443381120023539761
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 2,424-digit prime (173 intermediate primes).

Certified number2,424-digit prime
Certificatedownload
Certificate chainshow step 27 of 173

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678589430 --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":1100000008678589430},"decimal":true,"detail":2}}'