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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 #1100000005657811752 2,177 digits created 2023-12-25

Value

44667670954647453776835166122886476426235076268224672110299117425936414272988320591396588284284172905620140654317303031185176833498487282849949750078116190167494328748232156699040612125465217765765591109841433551691597885298229591342477525637608532426906799276151051004692747485540783434859534407498465840197482518645623321055245609259949729700378265961452118317044046675236658427194282317836993255767813854527171152239663268442212505197711623793265403156137797083663231332144712330049274479666118236874061143243279650311441977152367092402477470167681611241071378772441580648965228229654287171992625667919735770868846167660550234648634576538237821552517691513686638661478298295389888890025286372203149073990081854959672393695957842347405587848711739185565148412309370042138820516771943656827278208856081214559762682719395739215014303340302301510710310290145257791504710788583917335382651317056047549044644496174569256279221696444328527075670846903485774522623078911483415147541969768523959081713488397420592167119377668733892678878239120966273529974276871535047635142594917090881735388891750584311375485856774027698353881781888067518592203375609218210394614115566276271229085540387862039860441908498211440583698218563182986823546139802134573554586998242656582272624113636773335681829359883716337598082406826348910113451594688029010260179815752397704535095060865638772757334649328444627425618506654676907652970506866875226446595520554140002752559277569236770925719433471670379124150148357061358299800478119805136307624993307565413492593465371519581153058051077590675436486455178760371875344637871610594788874413072910576859573439303284788581219369859611542187278861362185716155197348496954545093171834617513930499338647251688284929336776568391440544061468895765488593660318284798462277899015430932419794193812492264166616745545173438776182299848579738702855150311516700852500970712057665200635670134916981275711507621097787514295656022885639307169615950816412466376081795925014044034240391628603728206730292641091809047181227648338200149159563952346400421002455573806646597392768630050800245181121159233982859963622950898283721076045517012016712592638905416919745567872066394419
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 2,856-digit prime (217 intermediate primes).

Certified number2,856-digit prime
Certificatedownload
Certificate chainshow step 51 of 217

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005657811752 --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":1100000005657811752},"decimal":true,"detail":2}}'