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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 #1100000004875353361 1,819 digits created 2023-10-25

Value

3415701194139467137382512488321820800159928442598627155722220631315730424258277937888101054425458546124184467546076316200541517209760209338866874190281374272279888785626655720136186741492664597795391185093988540682066898715903725155103141061655705547608128971101727123727420330470636907410853876313222677963758154624141649449458751912429112477077619574538521449336862232853951660443500331493847298948492059840153896276009128010616757229400859258413421856834707262912357004323795960473605582662906596192564335330521014985087823526242562067771153194123586801265322077176040851135529268729994613055629284086971259611560488584374687964457440448286884525639507472581994747434699274285480327575483017786994604053876839370514519067277610095435552799078380070429382956207735946002764830017088148581062718378062469501406812872498258694702698565212744027426076538043476737640960971823270936478094431927766323391193367203625319164131546134739566514345226878345468286311996458200426859359556486602914190931652014335558333496351361816621948984694748900635456842056121755366402153097877289596774300493342327514321786923034580582317228480300735210561685758525651132691089460324876785115911581538686237392089151372763915009067982894267359524432176770871816235035315422005568782260307105946345191065936596101008541313184009577611314930704476630706626849684879542583432206953097639393154604903045152716054407204619744845774769237248150378494821039070800714702568367355860365205387495219991997272115134499997212478353444593003952535376665227293828312358356634515096371378725186449781649252253416477862988287022341657843192445708674158441352545005430710012527130556721404186723259545436078199226703423006925029926841106407237570432000731607375419836642110026678918087857325332182994795040806567880215521974403737371227239442433813577082401
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 2,500-digit prime (336 intermediate primes).

Certified number2,500-digit prime
Certificatedownload
Certificate chainshow step 82 of 336

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004875353361 --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":1100000004875353361},"decimal":true,"detail":2}}'