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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 #1100000005771470312 5,923 digits created 2024-01-19

Value

72537727092377770125356447305738119545031886452370980121901487286928309202359330107358957906243512148760098014810077533262056797971326749925536111919525263372960331357513149094097191446760499786316553928020832866666473109503806419102585414497773326376315594482279038547677440071479660329503968393138587600653477784473263174812164565748108877692888178804781465929798157658340026379998627474807704620213300244571259459831649832685238044946739808003185297738536627192057082331759286337496801699643305538109090513305945673120863973445047208858719013925804184120936134216727577638326765296460000091513881906634366706256806385703366064900309848222871948052172271902868339837972515164173575757361570138899753330248419283859662872965867559317311005981939160232040244715059586191708261627860254264812124215069583785965589180698463150914806117075172001055825538604672302437321032094259349436193275497748704147767440651968598099184728409770472167434480711376032667369275607549455817052645131391322783405909516055700777147883424492440235138132620362046488084789130020656991693810364048453621849058774711609699227819610058578891570984571020701195839584990066630423659778094559783997405024054265756669816732116174800848620799531522566223018398313325040665287210780965268817130704065015843914351610700175496749626063557022703099991316154500945360280038584213802913378886306068850926297512242510863276326674343926848052303969806146197250804889723006946641021356443447293158828775669659401821944760210950723016124348981894297765290700783629698088226214582910859455275474570927630167243799521428840977348179808918967454359290411147134266772158142692523739412754574394981599296279230444503454656467932857638089964854000561389057241561994945463209138763082893520523069282259062302235820229595603493244052221416058017985130763224908436590423900160340722069266163002214101617162413320087138156350029115902684704062635159064564680348906755706961306327398109781933859200443110645565903691927962391680605432442986200634830343249676109651541777081705098453600231862046405273273755102098855476640406516001035889505244047461937015829995577091197698420087353148566508095606117622598253844510051869704952239134211007337974226503731483591479380870802756617257255558825949584987197827850646588172493288965132468009278980672740251921257342431497254356768842287671459984816269069004314587412353189048151816637872195462413200429872990247681258408401387945500189351637190023787421574845696809019305422988635295358348109540481088552012958323578265954401570134320262333123142241778374643037916434209343858471106093532908410560079127510530938191172342542234169674998938302124944679559535112737429240664463120805660926361510599839644909210380676452476269872958499317093515205972671110984000174081411670546418187200154272647358141415344544361058712425408235832381198529766931664942801134962852094049177718427758152074051096041345626549297098013063860873456222812779843432462059367876541906060281769713744048254214781434411461489108393369932142924136669885309028576375314189299516733922079362459447038061185765115164308816496379102497412658229389163586358169213782847802280750197263494836202300934784885139492798563167938912434501464390850140101604378214361000518082652790352293004315299344765925425586079117180150363852922835477909478916441501088334528389177398878694034043679404665842519105411942517109333449821887420438977964450335923639350101253811300736406539522216380119740635330813970863344513626960673352224389294658176648893543532485364500146261721517201897343424689950641642607937580362386783854042031666169681874666147728869118547219304872490921648254822679953846008847700089372870270848965510586495183507415619795907011704771333750752566059558252088413809715478389567108749673702178563953311682522515433671288766578767218621400004382689022036924890740916049898383631936599607096066572667754584349304972274627857512209110761771752075813671099896249020187605545575328652795962650963120849013999995493008957626776689198311089185514123929760278640782134493514226162319438649359419227639512435118701202319160864784271452801358103274371362010501067643702160928291519560392957376697045568060175933222785843390516464484153709318375009334743592745516779528905812681043886340207021147782364467690364944736644429896019404736491262133257611709529938226317365405776311149907180513125563357919744648246173019348035872272680627041258443155872752890787801383269823297730110386488766953041938187606335177420906317799273400654347883744261928421052253133651822167900831829904882539194992068768570216246470314435206275890653970266560218655810332747441758227888264305274321781257364581202662715336216835727720453007934166800511937608203942553568452194083025600284516414980823578169770301790321170576113101515211272476402725912555978634618734137227993595855451859318843440096130804931516044198701875510995448012487758172100387820536153868027770219324519205908648333396120301702797784610723622653717628033401520966734353072214110972516188211189030920062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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 7,477-digit prime (399 intermediate primes).

Certified number7,477-digit prime
Certificatedownload
Certificate chainshow step 97 of 399

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005771470312 --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":1100000005771470312},"decimal":true,"detail":2}}'