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 #1100000004831646191 2,906 digits created 2023-10-24

Value

37931731132532671857700520601169886357952392560410719160996854305243035715378965650114814418900953372489381031574939370457714026188353326589030237198224878782312719570097363755511937720491709714467158753168330037855604083818906253992307315965435124393618783711570628764017035959087514320285525226778700766000964614857566673283746093160881495681219863846060665094018806949725332598084378960699748403190728137162307212244151732416397339125410271053822433330138765348025305104891240327057003508925806320062815668370424222853943370780643416209323744497978983938561392515461418846963624245074752739009982604721500861169282888593174834440766459824009495236014452380145825552293988194757663921738701368905460122502513830728077077352621295609148830452443618013563822614801120116591893357784014802049019355658295690311760803552884485494801040001417273614609188327382885060021589102014377408724958011741585650593720896260548350455897197782418865202505845997474854871352590469591471281584119253122604988742188393620330722771194000866284296204944129209670410463118151506593608849534228992579538861941339473116203555247782139461314197643514426862171132973789576404064157038381993479143738101857949553715112015259826509728179185841848525499698097200214937864860753554484388157716086840503483467916282677665642167393345494882998686012816969040838705272843383172312682583302308630441511459304041694411928274181864766618797547770712029276847853090661943874445866640452135493885923041104324658369253563954554037546119329846601427358130204498889977486710489702421954364723680466271627564871110685325129694501068402334602960242034634985770742232959922202279807252337117718852571080256194320249785433252548047476867493807839293217001356486356850432251759552436639840184902348398869947913585376656491443878507864629977895960986209886195709490152635830723873603113185826908361704518489172642791308910545736051621055989042419067706723323488882128961682663270342665634443254742543417731424749998011818639861636527372520034657595644153178769906007684412858722686289658401578786494489319863934950617341720260883899465629332676230551967841997938954483892617560934401915620453376162921520504856740004726406469838121049704216412065509398467619741268757986162451314413451027365510855372225523746279989320236800168350946803054354622868230443140349070208835908287337072304767982609455797486105585203420734800970313434867897090468601419361516347152331360568080887024378719582941734537573312004681165876758473197693235112779713053108875138854726236970359376993388589322413109619423653775069735089706712027238591656624889569656314636810547699072752464196946110943858631697941502098545844764730371887972517134614970450777918517510516380708433323097576049807119599437597422014532201391476405782281251283307474214684553154812167365887291339153844500136605579098968102891658852237746374684654661977827663492431931710302128367507746515372552672777
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 105 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 105 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831646191 --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":1100000004831646191},"decimal":true,"detail":2}}'