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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 #1100000004837032271 3,086 digits created 2023-10-24

Value

17001946443465879965672230030361308605020213205127780265253840685805832233265452890487019424095584707204844154934330853217837446298320166183392219987678717673573591412263582402710227867190895252760406716317473968124439070030722508299993032619522389642834310717066614332706039188157216263433084151502577605680683503016108300616062840371851398253529758482826394686351266276039189052284551305287253918942949804372804188006767971483727812126644357018559558664674412762671115997304532095502819835221174479885440887623143380335497888556116409586944666262180340421990923425380112672890956375713468795530477735287133105596060985189763493592660122393297836981708532858155093716279714639629368854046356952216756033007390400461653634260616069232714916271722227454122699570979865493721586613072925316789933066361561769910216293681710689348640177940671528707542156061338187212616010224869853447530442517172749397110047403263104785175892514131206793446029633663687960071334025156168900881372581112555413239481048749010657285500857121857124579256770769450214753944389591334589288191327897128255802807335321888001713387891808213567170806009672442961976681105815774137498064778309863941991061510169577728653654649816483257057092159167035175396087559756676502027919301677416704973272579667853008411285422963558238459839947204309590472115888890030798218147792934803927904521295039377913817269344218003351221079942620656680474253189242597900360287540726644559690176717883506062019019944993121214457725824828484738885572669130769880018253575823564817730468683845046630860613104099281800309549666806156201526196932892091555023640220229835983442311641891937220130213271321488485740705935979231264450641479858599589025159391152447863298790670362377688708846677539678490220098259472184807691950522143362863172020298665009098880061415326536667959802588140395241287811773046403019438130948906375185139011358553273151046347410079653312947802336837766363102621316197674598651269135173744644312892940434478908061771769231730713930911963507347430591834040661097378901184782143678740933875631089884908261632632457874514018334405516554513242695024785250323462330340902765153751913087032487259420466416056416423275811124893708734207020918318524219999346618591965450784640978954319479458755273178987085403370170228176589615135076367056381298572115701052077770417571633141758725096710406964262713586954521503761996422696506865318845220980957695482832981541428750240046789176439427310464948542399370535623702211663511778366475397686610230528117544870940818435742658421523624728785112716734097927817117275491094937719342294326790777281194681095429608640449059717853630536039512938660716415529261455893820082095388593166964275119241806354950487685471991534956891390374830812718891765094231576880006176199299365803642977943414959365682164612160513928253251554874853791044059431465820514185504964941128443841158166366534619678266193773888417176625708038691193708585115361042825470808795021941241303193995055553971188255821102612071468215540249701420606433668663702597334696039704017428533701700788986431762897107487563186519583
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 3,620-digit prime (503 intermediate primes).

Certified number3,620-digit prime
Certificatedownload
Certificate chainshow step 61 of 503

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004837032271 --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":1100000004837032271},"decimal":true,"detail":2}}'