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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 #1100000004852135846 1,640 digits created 2023-10-24

Value

68648032234150116825088380237434689072169989816736572601177140207793183836055850814362443519142791510624233283695541647348079046083864457035847786626774255032448076246804175604721797861684305017902683297804793985420701869856198537659482350304716104472181657555523257353203411555445944859872103837935834890613843741970768944314423513322696256312841942281925139402007406230442317374308497106216855135062790485481762777415605711789525180396641579781716643957687047791381065251380924258772844307760029322971288966059943844265304931644463580999035782053614686756064659170762681270678723961014456915850525938729582281811299215797075287061582930848161801117386515954014071600083660735213673011750986388550725045122093187880850569041121842905228720164158427592938718395347404215429687374594628529354543275844721267580488501632983035274021622192054380568566020920034743739486539870274992559495921695468020716975915853248078809569734102570794771138880289439642360694135965214271845623272555407076265854495545391630690280593460118345871676802271888755803594874034723193410498799582510095591743849754386333500423597055395326108531303098255539128147679427019331060921576207399043839218962649016969312415430242834242690772957312278136506798888772078666665072032109450400770819972920697928134249258085674397719730132237776791800106662213030936104260966660028053484901360317574091920012342633041102266877681226898916489572654540970611826526845894239830889859043412707090311615662726517013188958972625947107151970704631578127589855981620586422243840097418508912951059461704591392486057376634019580966164421968544545933833678866402705074449141119839680432207
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 152 of the certificate chain of a 3,175-digit prime (339 intermediate primes).

Certified number3,175-digit prime
Certificatedownload
Certificate chainshow step 152 of 339

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852135846 --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":1100000004852135846},"decimal":true,"detail":2}}'