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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 #1100000009077021953 1,705 digits created 2026-08-11

Value

6378345377745374036623419993828904155048456637812604726373052734203542744880975001571840807269109351881890091668875234613066048751087366536411156550525157799330093589657829059606586364795105220854738802836748900785374633605960858219330713860128036147207778815483525130003294241799156544577197445536968351330962931223227424549718104025726511580801746826591297214743555700447445683376513590041211747796226527245866591053209437948822882978529754087011956623070803128202748815554919037346149586703476190552681782735289409803382728403058159507086473044906414223389768024732244536720498788355372576643993106778537935113352464488835232575592511079387686210764708634154900734613056577156909017939001913702699085931247089359716010807778986972004032218613648671891527278282926081229958250925507220333075795473823604341424300634737745160926137265616344662100947502599288408429112858518938297737177475299227040752627585995380188703565902857032604570695494618519644821757618300452728745555065233491957756001477834597615710817123345269760426457296353298112983525919602880516676550445132518338803064019716311182536139060851952210914442447537432065263004500988051327894079049455410298248947167814720318872816321389311697972790005069987721692029249115405208698038834085779118502644921483891639735660365231544947234034120627150548543679195341273986413362777599384522836026207582114023804981816028577510051550670958889617636220208019950156436701238608146767716435690168259007742705121548394701668227929649460740081502558847943548586603843026107972970432825770625969793054383439632154552738433845704205664213481502918084181970325355043411303761163313438396886280126224982103737623730114148313282173563654037411631736781029561
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 1,826-digit prime (147 intermediate primes).

Certified number1,826-digit prime
Certificatedownload
Certificate chainshow step 11 of 147

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077021953 --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":1100000009077021953},"decimal":true,"detail":2}}'