factordbrpc · fdb
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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 #1100000004814930915 4,685 digits created 2023-10-24

Value

17591202693071066679300054554653271161382233852053531603248244252815983697949972991553760979864377584094071515993438413922422078744318652854520317967722448569059126059775496924481994017671301657267513871284259308979272584606243389728266171537449038618351049361063211371723951253182606852908027505760365334294962975108949166604695598794546277057092722838591126464454069428958004353320519614738935477520131651305352682057207035872193866048323983377243925625976816748775677866594932246066464739021269471943171200136636783835720977078501311742898455742237507069798300529733448515670973035462297072205594217780964993396973465686489392345650598078735661192594212042289559578988846367924877771235519483132444469797125441644888759432224273888952727872707778350069360715113933626289755648862854988909042317224967843227389071130393701252218160403492829225119799063254829956243611835896918829950825887246035754028471146881301002133622154536964929514386455252640629789553731274857766983447967950958520744901909774489785465400075404078876939357002049896295867822595092900385827318149290846257293128724768680861473690171330316785816841034753737770894530055545735995925124504377134812008727408782035778957064201631851058174692243818147353336636846627652141597660652294533988442908993018909294594008646934703215921454687704345995253859236968320290103200757591547443599393491959552604509056150635881109149474567972058730124898387633164644592374533861243246452352587430970134307652588555805028572953654611471177578633191850512975143634152665164441795211904854409183881863741625199273941378378302730667148281406504349413259529022616296897815634372549668182734276563545722478440809710671187149709102635440571497746057166014895358960212614676297809723900705145409454245586663042243842850447162366014449051435522089929661580841543496020800655956054526336573153668300650346696571892659228320390903109122338588232489445210120978582003237034404077505653962647444868866958470427929305908869393768274510822154270770193339964748759319587379015337942029190813365025495301222714104602206883663609684236516083012951084358890698210723086004030606020542032347425159994805186553599251284082509816870222829417866647618398013221707601877252384850990263503520865344170794596616762004204375141586633417863308825439629124535252089771288313235925675514751897384155148783828817964202527430772881368276226065433498091666441758095156552551159754844442175093153809226157105230915718480981435346665977398727401688307151166248964173857868159273501859819150257515334039423709653179004024722222494197533158053050822783250869430858023852015621844167040563641765390344005519299463223854287880059800466880333375783358026557144762833348592972980484844463521899774374365164859723814306522208776934204846765249413827199122673194440191540516961092200500080945652330601317652330949591715389820716193585622453834560423841316202015837955228840483636302236354618995868336672293708784336704003316069349891654801579724338048670638121896232544941648900148750123494263804087566325843622800366141478128946922439620811293244083535928570933572662104922486849723330925170915038382070448105176580595257865783518243348959123555160098271530328323370665145941179702992823704176689582849457665024352111701443359624751636904375492622910121092419243708544712899616139802767512644808345590294184863834326929031138943266233889191364485620245626304759997261764198322610138637693760875336847475698032134358243714051074743039076054007467044924258082370941257139843573627237213460469846337072703543045801180931197129700239235601590444714159392455750239868152445134852112962800186250358250978228390922425952659104110590870411574316452815873153313422467037016781930551411175589866688215103890175316913094411984750909452187799797969083432449696998030585733338560362356364711129254314095311139703493802963416557586829852791341765201532366787697852537264360414157149066147019451099792024667831266944755500527569462063102875246505405517860601392161182446559742210010575896031288107714981309357179006761504180463193701166126333751118016336548557731851627301227256428447407545143354366516932053463224550512480754444432016289124284909415137938572407490421848455950422464518594706781680630467581402795328350926406017265922871286663973369025803683236635801600647855580992848230004420735450077443627756634778578573784492539178851593351056023566619225810886669731995887618241261867335289965364687166050272039166646030690408994387804982171901904333687774283953579343723302229013605690220601039667570988866780566169509847870169246903171961022999282000001386733508906140138939121112298524028218351162633100189024168996281205929313160798933159152718922536916174396255493974267833907
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 5,541-digit prime (572 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 82 of 572

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814930915 --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":1100000004814930915},"decimal":true,"detail":2}}'