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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 #1100000007047571350 2,763 digits created 2024-05-10

Value

663762898595222622901196450526385364530348689414502837975333848247971829504819150300043949440074397322992131219699250184933432140839171086165154798485807183549760256952193402078068285821361985072948735183955796050688104104937037171661390555595330819986242895357974079252452829035376526540070171771052433837744053101745288437243374873221955984916847261100030617999099381937052976132918771330895550469181168313083964804763140865464117830562508862750604305106456019939280421690128845843952005706228058982459191058696975507214574483649369638201031779782127607281999404154684313750284494118558753137655047895162559884441996539464732090385061767252007662490689895574271430088615262390340926492432779432502120415847472236709552110134396795203209501991437135160363421161048662493298136349551110580000902968433089637505772426472871779516234609570898288326857989457280684873661274467468301600791357806191259739252948004760113571545992665856274904692532260634848059801343120584729126698174642530835090192007920536305102713995224670124386604810234318716661415713115181349794756897842477338302795194033281425698772111875088881239120458331718942781054844534714476677851327058596783198057048381494870497126156901927681916230951605121344888209482799739891807122529165682884489704251639876235508197743365957195889340856240043331706307602306264497692668047126347348189937210520095366715415309041232737001638936469481978691991045740921340344361590655615846152615847515293727334728558933203006314528397991328888956147750895874998370816442393460305291096631970685485564338795811283639746309422894703244063153666304966889084138926245902684657431146181499876481380403161926454753292742778293147771091515013469395756772828588796464404140891653843437568934599791183746755123225767200287889087849361972877336365934501711751101353717837412102512285669717071598235244697189862413383536784657269332768785557741685832794226290289430208695413930866157233932325712426089418503794419558994000868147837050988949566997247134912045901038712230895784176581513951536093579720142406719685045026165559841457077752666743347569678622253446579494633983781125125594606032228367139772472642489991460358458899422660947907936865962253445587062441316888591654935772269734956226069359973358470628469151454886077033844580725800193550343627365309678279995410827500609685266688279938367136275526745356084857993865940108781666413484169758545480785935461069489590004193291625731869286088895516763565751858219632712548814271685397059551540416101967243639109860008979669189775342270142554481179877377989331366606551651626116347788639673851715486793478153509589418225257312267137518867889960144427373593139417646583923111014081761713054627570555407397885493267278895089958549051738857680730610524993634923490341311714433
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 3,402-digit prime (238 intermediate primes).

Certified number3,402-digit prime
Certificatedownload
Certificate chainshow step 48 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007047571350 --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":1100000007047571350},"decimal":true,"detail":2}}'