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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 #1100000007100334203 3,396 digits created 2024-05-23

Value

473714078201476978863973355519310944316649134045970410892720385242856715090446299533396260851724254901120163226505040432406723130714738891112111131345476265346075200919231797896120592959922263270016259098052712286181851607458956094638388278361406743540001529608920025709384677478471355877931674344011120764081627502403102390455860308796143695715071803910299616672825072273165658664786797252059659791807155714024787148847439418136315051060741777231703209312422451676051177047498843751343702339201251456833182421279304829240604331554797754309586601410977478881852812928617633710452497212247075431521681978286580043218739536785825641119265836725430949671333076178671009124150132510608830447054925596028586267999815943210704921406286229835468309872964272938520050948986473946109623555553845113240704466872229058276098173957383269911556980561610195797399871080100572151532846699953505412213423703077673850414693300565119336038204369448086955988400387818309804606598877653989766407170995649711107669492060074646738752141013567802978219353172063437014219836954750944813933698033118005938573771594833718288184489578966946022497331101006723725755265493773577251465538713364447725661131854608156333105995242696606098695973814855529664374409326180561995473713010702828964663738582509757157340787549557117878038297434953299550381989363687839916301875252071775132446198656399628510625242443729534601616062520948736246827410949411995984653995275576523987280471342145541742331052661864138722956289020957796110827346861589814217245986969994878309673605915641519283718792835208985654581815364551408587815895440694580468154683134941658336257212814705072931659672201891360051308493311907176926381817020091746831600101305596112285738332634301714926133355513496872305850598534405977876633459457176547641804480024417909765531088118333036924800162509597133473245605753310979929083637479166693305042155552240123695623758431622589816842901379052184507980070935510906683238162042096213251902037275021656955617707355451597645228117249452073251826465637627839763234865394880266633173846939692691511161374816730406551142569307318955138720603423775119706891839440790702639508408206384493193788666770461686005554661849581145023420017551653092432211944730502837510443212514740753974558266834179325230955954463414283544087822031280387081105014112816750146849929217024084215356292631724272097771476436914698590904398939933881818749225857767668563688440494044520347671290987235100978042930262477438989435118030280664671230786163534510284385678114571929683771216568021365180282802631613145851846521558122308683412175889715593862714324888857440390411582328454140196752066580025492818595501344618439614038009556818492317025607493508374290312317688780417852129999522105662301762358585769482516209893946605766868392171387035436054446023602488046992394206532427406771749111073165694155688060693553847211058953292833878506103005242275220433502979380633405704610305814127153363189885300883122171138560692527305477092888257881038807606486435788219937395017761913208794374624014913703507718740407872873535542528178581751162357739691602102202245153600994880124099281865439388942601912436987710794551820547816159220354943292445642983629242639970993944326266624620232323541904215778559507255680618175884757015191908750752049784010496618385117198992742064992391870569447807420441544044680170714385625112133005301789085380902818395120122704634739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 5 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334203 --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":1100000007100334203},"decimal":true,"detail":2}}'