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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 #1100000004868152038 2,201 digits created 2023-10-25

Value

52546614624142051879251881291236438125027279154643808153058949902158035138389749528213699936682059995466518585229461843509101242355615510591936257039000942302770039509857509521131746455095307541189395205915508377900693741007826475151442975819061415958179655696918861668256651770119854917542333707052531475476395140360960684725758744964669809357745972508997475478096864554454135135734190589614818534219269113910110122081748908921815642545240561590555911418290634189688175153781716091168496246654570061890539296543904493188629654512978545420428486770141388593855281205822539673042804336619589459067700731057690801237322887093803163311368392870506172286220258378566675799887667657083411792116998552734754469536903097586083936833086058341353347931440013152225046279371650138246052831847058271614404134451801025995755614334110256657550517621202819540836406800792513227707375235784660860291731609007924143799031790607557205637010377838847971784160210971241966822600894514226010376135047554642816681363866572299376277779345656382116995077645202336062680507069608716666013073776453445045665608864290397831026687392116895645390443850502005017614511742529779506634481482606188511478002541398913937781466359184195437278117491158380665202193292187661105400154004465360392163752297620349243909346700272970407721758701998127175719475809700241503924409213600670575037021557599194817474584609971856607517714084891651691920999765347831294364381983366443885106767640896975961231533504620273004505815297719892822492691837861265922211068817561675199771784521008461864509477085529350159697720682439105355561541407696149363507402857120722241667030970986601785224253269195240572898260352669938299677539392980263996937061143620499709769623863249734122554276924761422319334369297415064490346626302808192031899633014530945375172838799046066311956186912766618246201699409755110608367055741073030419259960907946190239335032919753544431494087874563250636178279951244199213868042924295214899154812140118450851417388229234070736300848074160188169517995801538651114614808348598777944872738019631587635456215900596878722432036331137568246499776558190283890999617722882560556158279004903321331450531564452393629803238847907256366832483
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,718-digit prime (297 intermediate primes).

Certified number2,718-digit prime
Certificatedownload
Certificate chainshow step 55 of 297

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004868152038 --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":1100000004868152038},"decimal":true,"detail":2}}'