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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 #1100000004853867346 2,800 digits created 2023-10-24

Value

1723274702093175443826081917411917650254561106873601415782548339919794904548808996008564057177013789979497417724147710689926154775245102579688126787540817663883359928371803928823602538924742731896966892718694596423756761960837367169155049591360241641602009097401677181849544047058732561442829716764539472154690991583589286466647208982654834137001266152359546388069272698157437148136828229483512515208071826907410135317237802740227451856371156920877464735180447840772564144050431308848160093206670952499035350923885142897595962423603340938563161860246752381182225833129235724552936403127337733743276044963913258397608399688733566295917142353096720389233837388902811894670983367700268827584616941820488391926491856687715844699778394355966820752097948246606481805109743647012963524339790461436377245370868436227112043318690375786035901316562092629842943889990621893943707088999418282150095751232628038824030313687111331078345185958549565292102461183138890179044452646857603593200332227516950459184064777153947113597747631444136507771440593034724888133984031066893910182887961475206126279733241597978265376617303591545480783298701910867571417828074108078327734337728161552673630513217863956590999207352379239327231841914570425225491181789979128356112579186130175971901313047399256587310972701459507448506840644751329980069142183618726730914457743051992866896751686964394047168113782993197673175138103340177244956768622103382104988517304219060538963624494070811485050870948228214475478375057013576437696169101177683220298469143044693809810967190018216408503437450756380352790960330218874037016703311866195755997706205089317986430928718105944935892331963351304445310202472112746750323340913336378384108241208215478726717637892213511107420558752286544513858408774790974759343981007842575777545611585106189338180249233724910758328160756741389817896814865155112585322991490774311906270047333509024496775686943180938231175704048093277469570097364340718549861252401013973244347612838644079864875199354179245627126233042306865773347361432098883286384737920121571655014845229992235690139441963005632951541650752145423499082320180507883286421172589835362831074580305281424117060258309062102158270295231625812459048623175798989766054028672937410382535114746888782235767489210509927426615430886554682198765142150971851237016348901616553255345475315985485283900954980316830088613020535554564421111826374800631303167737904845011088098276487565675312966836915026116796262938556306539578564633311664893902679921216532917060820142928814998426797549759563877320958843869824389146885944944048607615035648847733844200920722475104681241890945458226754855700214240215718892392511280769731449779741830701044526897191452630559161976877814038721084273547904439146841207976895877203913051318045777241448616621876699764429932034143
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 21 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853867346 --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":1100000004853867346},"decimal":true,"detail":2}}'