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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 #1100000009078667281 2,892 digits created 2026-08-12

Value

674494949347383187701372442172366549003189592684681425275637744556415105905056192053263659180770442012765706977329407644979469898348789108084020011197929773290473144988847189882304252175711549354623875173338885324992201499461808343247530440657051610312915707277202188627394086512475519103694662305605462566613115082318828616778857079315732168386540650942845297062051561397875651754613648363197474790118373269035900410129722745311449954644052339427328047328328831549782017332776763739037597132222153139080563112405379166779282553465588936105648767471666247668630795162799204591085398278239765286728397612819397321178776902123003711158079713266621088748595359613904283437089061248361581912227327927340126013571527781246687020624728212949273004843102129116197138432346267646489770770405736354152325307515587436070316849011694426931796440097527948083116492186277352509000642675953376932034113116943698146091812261023734236007071586109599802984462841224107674401180128959081397902764805460694566455465350910731645362381899770705708764370991322389164490403584887825095681473696155279223365698579627260512636442008910208405835652720073213248241916139433862279638448193680980225192303849406681871795781919012331530971814082151649780230197209584197101296817047647807191559483463656192634224162191396915762233308376324338235335032492417890837015134316735633764604462721083169484533853256296459749124732393305191293465892874643194826712874130761438024505042006624672712400412078590483907937208370387263650524948627826470798239639450890219766712242271234328596922257902106062214477066968436801105081524813930221061320894807627320699288687707067371053157436454596049932528117546513713921835728307838388915837257183051391275150133840855062898196959888036883703327620302570002329070773744419540402027211722644083563057124556159039514509733794615282759857099528299382068000064582697029816657397252253805698881085099706120748907080392974598564844829698391025216856337048558291528273811961235929726143493209254445906850369487481716398676055748419890515048839831068967700332415553981672492992221475498842368093059698065389474181972016146667795881566706079834590185779780532519164046578709755625425865387862371655105528019090463017684319172861426672632384191277392871058526494709160354850934245634357937754371342284717992065887606060798876815251103963800627552810900727938711382624299210187768172432448869807160394109115381356456188507121462914421954129418376692539088542495637302927929346254994504011770839201783196027488248115977118526276252839888167911545337667247503124821342355904388212395130355065370132042863385908039589866200670722087070463889588300719846013842729605800170837409945914846964036628861076433792354780890934753945277893328801119818858269559991124132957618526408247042030578070355717826675859734233564418074350619958900106018501858729310153453546197018629670667039228424204653522518427930583
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,952-digit prime (218 intermediate primes).

Certified number2,952-digit prime
Certificatedownload
Certificate chainshow step 5 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078667281 --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":1100000009078667281},"decimal":true,"detail":2}}'