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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 #1100000004851744716 2,313 digits created 2023-10-24

Value

267598940084998282914608263151750239575244024231287406057030381116332903054392750417031750728949820946491043092889372366111981341066176929024445887652920240117404619718324094069084276749912199625869225611363150287030028962619319460655277710776230282588681712999353753089102884368390594375342312317750044702420159041083806808546125334860580535303791581108051210582457805492567680201449842741952381449403083482071854946707716060910646148192842049928484142538164680641537179791682284881679180252186776824906529139178700479162478398379583587144939225826522861880930745226894349686325585368205928570228152164559368954599147991549251759798101600384899932229226482351392405620375764319875095022609885682201637330605355587422619416282614896231102642006216230151431074478921253779104535822568176316184076079279227011861276794143565419646461693643822052827429416411990141950248644721770423201236799500163768828515353920832548898885907115208703915113576690607626534019338579108000436433289696976385519560774754181984364900412887037143887274423811720936303255532974653726505525055676340763718561195264951176597760400830981428528562475826829781464647221661428096162158782272192010144052961282783564966818040619315327429729421798549259666311997343653317073265803597147135993503768709294942844449031366277298334259816897063110395890236197810785865213641993270431362548787913041616704033883209976006280831409751587468733966300986265391226933357293900655517155927279188474430779238031516358470425343052344517438616449585688507160998636425290131756844155594117653234500442395288857377646351002932782609750822772558411772394313679515775476474092356026500133823134977898791990222395490748175545135424393909276658122758524771046901163975946535103237497476618901588749921928321783721486365540109387759195980090057768194818861498116558118079999980532758675047708825018920283067123956526189585736096183646744909151348724117811101447895730619105318064075891237492039976753712864054395155300868262091828459468435445692012212775041675251817182798966220864113793172793028249908703918706369406477392015213656117320178037279586759704366200309542672170083112078721830146423053280829757483817829801814069292030767175933473281092226573818843701463199393878522767733087572032490677361659668284562108102976335641583339410588033036749274561826312149
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 3,178-digit prime (358 intermediate primes).

Certified number3,178-digit prime
Certificatedownload
Certificate chainshow step 97 of 358

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851744716 --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":1100000004851744716},"decimal":true,"detail":2}}'