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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 #1100000004859730992 2,215 digits created 2023-10-24

Value

4314861574122116359362959241685684628204453499866416324259058593931608858746437117769923835089112451828530990436940155528507863288636779244423291788136374411182471229968163439594010771287890613985019179731202504959763022182855831197721807574768682718531237625538540561552199381351548461289053886876936738078361946819184250491739441438748897962050260979986946054302047208503249762117223475797072044458584492262435856442526133170765003625285147080094665611938632977696825608356061272359600723232929430847662692140899376706156467077819025493423438873995685737517827860554842397538283771520055256844574074280877753970135038230193127387206424629832278713413918798842446214992778886126678228634614491596381490909917617884691899660783101179807175502874039327340911046370688299788027400713230160199953579971229064610389368191074685549772087888668277692451082783591153585770264844037541429507365284626801384488794127037900211810938823824972980467499155296979296504021869220671256574984701547635447284472216070622414703096635422066357324550056735219779361430058794224171094399772022385105231496664567108264311423899107670856992366913565427837243027409774312918837386466536443748844854679217628373432784693143710184504687575346269555072538489434938732984489210398431740994566751773069743583728890679661061784011969416294695502878143080850366377958922262214797230860776337917546179579189110125887794801968765683798699376988442479449151852527609349966861175754971235223334221313757452793483464730634449284292495138679233473281219304976539357690140248329993634692187508305088140124837276368678872208462638807458587567836927449891767875618503753644264405096422911625091806264905300739748046033298521157702849343796203543798247037761307114137085414230429047174203361251002218098869593793648440410417053555029570691788669590608908185193946665537205044165227282722453249303474977142990148844944439056602416528052030403744878267405042125373753958608942092742623226253138013589660347809760511202903363252011092133627651826813820510739583504009572622566512916991621834876049624861937562451424564634319807261195283615910284672532743842680837382041890822881703294019209268340307234209922010087751167653996606377316903446769950780470896739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 2,940-digit prime (312 intermediate primes).

Certified number2,940-digit prime
Certificatedownload
Certificate chainshow step 69 of 312

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004859730992 --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":1100000004859730992},"decimal":true,"detail":2}}'