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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 #1100000004848502381 3,267 digits created 2023-10-24

Value

428134229737631280557163686243861693299295326015913008372267228334013481826735419198719198133557113192667363815697786538110412080951439838720120415428819298134404091240639164417765650624852158267607533299021828027340881585865356062682752429832062315882433568012238097538203046439847046462231797878660198677829258590480003119954460773892708558739825470241324595664574390648639364688600547888727214757571675855142386969768918864491293091697122268369116168740193529053437852223706967473891585235699679901811902648574812092766588206640204219515588730457595041107614858472496867160160239588107451991125988292730275514702396484988191936935924898093509998591871502528700625985365584151591659208527420647171513021789358527607175041928580939289217869455859340313536759298396935923507804569253623324223283834479155458809016528027057093224301362133827661637925618995615188068172468642738093358893686559396040550942253554118907719640261208144130757316169507746801235206809303739667740982060986590247524483383333175919108398148669152754714748845269930491343598418290735090475124022342656119303425091924773573499889165160005610565109656391015835253394297825926287888545919436938094065726642867280243123982889143401774872989550863265146197514817326816676308847643360862139058883509862520753252816169497393416840447300518883599133988026215768488556094772948263303555592087936667014737487905374755948559946577092696523575608632094148340615055248958793459540578309415166611220807064781420380308139855359015386618309145898526152393477925786941881331743055626158806224859852983320190090295128630266160320415471115905668193575330193182448178069756421851531338870133104411019296009123464490080312042261402207689080648511740835804159485047857168812601550864836647981677528639978107427747630768301393339227062871654300811294667993063266372579297481394918967268513369460100350895618905966748875933669451307294522595432624568301269100586144125335367648671245132856287494498385813387463043085972215819491431073338946578852148803681119242166495628670139134788822214189968190012111319762915075823435169084451213323145494288128233730039230946195015072646599903400848292160362039008180821593405826849827221683544083746155690101978433325841080047395431557945317412696612040106705001683847081837821359407546451549151512444828795982976079036354015371664922693045983579873779096295715500530193206696676725686598144635085039198095489994698074172109883829475077521338763059809534170283413226071752164825812230238639917739128120288935555142002879147823241349331802359664675992752646675170127773374279831027705998596206729902827417746936213346001158458667428158578228794747609781074332919152560892952925590843127671432411136355872267526095311442386285798889003696735082410133967579039809135398547334074550316280971149187618514384514994012749479184582306796412986494539595588774257012016308440664932370669004400295503633871505087484404722271089102532011025052303758861983233197997666132424350467252804834151749922405943570439784121042780447770325488580641467949737938637441093745490200403195287437444279613789549573800422592061250351184755573336836504226801515392681308268812919591400375967453768349952291337289096687015996471494253400602424584052163684720796880626656029266680690452147717820864747923682997
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 3,285-digit prime (370 intermediate primes).

Certified number3,285-digit prime
Certificatedownload
Certificate chainshow step 4 of 370

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004848502381 --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":1100000004848502381},"decimal":true,"detail":2}}'