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 #1100000004880895712 2,160 digits created 2023-10-25

Value

143633469291743735389165253839633219837788929923276326729044351342401365713102046055976506962282041795186120206965714294719548875102134438045004260830656862994291158573010507184579375399962875009767768284403733225621983644078124136115089821466747099891144337888483496172357128650964987903084428866965361093264637673728326179305815078274471395085482497745720090566536348908883040994468655400155750150441766427088794928118428111610767993247605846557305919878047879290409454277447877922485125084353183435078166001271251661350809976108498460105045737846683262664994897110304066908046694567182532609966036528275887610122207925530997367596816068808547523183399344292265436797829311165391331071935810028063042966417554592154250013414916333795450728200759145298241141150259410510434441592538231713249016455643960873255233715400298792910191933931924560322534164747850368033733243346641550744277804252479606134024306922014571084485338401758178128049550245322774504696539421595176118569259139505293847001713769741643555428905297819238721763153293521347219640623382061661325722063429558590072447013342202968636397287437220210130944084812503028924374338882187730712878019058694590651441687308558737946063457930020939018450391134940325562670598422323643547474633841018898436881831340347813276951485523550507289866699549550544586909525625250570811040873343950511522980139943007246508811938570973607565480008311264192100035879202234939186735023470529506067801677763433104325858546925677092217613315928730316322440523905480217264073046176503962662534799702301847197630412323497994107209614121871706874085317325012049736338251930725581176949595588662762952694668758780269451492759435653816966417095303220518391429039503189185939020255769118900978148995569873973800281529786507197809320185847177503257494999390796618358335194885398389543655499849698151281576702722702747904395854598234312109594957509254352731036615316136827951167950801107956473859625794738969835367622310264994234676412334548676509038359600051472652386098538587462979837041500192066439258149052975291486916740521482285800917619720340355367783462192957307843199915688330399987087833363342042053074216110949739281
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,364-digit prime (312 intermediate primes).

Certified number2,364-digit prime
Certificatedownload
Certificate chainshow step 31 of 312

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004880895712 --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":1100000004880895712},"decimal":true,"detail":2}}'