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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 #1100000004866366921 2,707 digits created 2023-10-24

Value

1621326168645682653004967490438698508996103953588878953997162440814972408356853531003438566350646521713054148735407602728323157283262509889737216926020771343811499310503289746665562245551693899418068365170918341053101970914212602877095933797801201433020888093379963498701764085734162749339352426511016586208771514761509316247067389132022388735005762754458012028511756762273111478974133826931269414062509109587107466004088067925475903728608471250853655587877367912538947741135361581623086148598778685568812251705092443635104872278886224290950392111353516468482530809548489687703164140409213146757046965597654322204620458309054966147388992491408839317024224578895557629539318897225768631563822029957793759352815873762182229455795780477951669170241687386237609944746190238669641009574095852667828702767596460069120035169956792183478355536491014929344434224093207030813834322868799225713295216302679205190267619780996495309268974747161898406465621535910534417434826183269408254426085877661862853356161557356535650570965185636269983856396452102026752392333146830810781796526646735848263383307452950316613797773197895738412374184785967826081098001971508653920184685289908875192816166362907157761238016797799961066625210074156737535468872365461205207326229462890646366817484674888587046386845441534657078431833143132719445432931184051373716270690924139237702863303889965049793844747473611323593478630537982994467452886807616318762953185330533144228259664296248469071940102543223689158897283723000419619766420594477191189659568369080353724535464744782640172099905579065394264288992764473660888249956341502698940941849663306949124489933930253181919069167542874964129804401001063525369875735983648705446962174090419651039654711487483766504902431493453507185838588765703146624627532763200945160079421251096780481621731855832017877924783385110891983864367115577626503482054816717337641412692110981011186030476542901777914418527102919334941929042320328788199541873147685785412382049421349664165169940132170516721188806589073498112650659947247436737182932342741876344972179163177540301366440428219369448942778096986418857222087059637522566384867917810232643764648331095689266649001531021037475439183485567712010635344163907624128909073560090643424977857374914706186229910994928813056043299390742363003163811713729262461025822149469726047034122733482874592861338809111961163012123099317664756953724751762833568112178399864783123006394742357753441023022977223498122327471695012144046522049197875493016739704908631008938082476922361290766194868574573581605741086730286763124194178211043164352544260480885265975657421786633507064038962535362413411532798349176997894633468878431246592354383932177993034932984611960732149006889
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,769-digit prime (300 intermediate primes).

Certified number2,769-digit prime
Certificatedownload
Certificate chainshow step 8 of 300

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004866366921 --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":1100000004866366921},"decimal":true,"detail":2}}'