factordbrpc · fdb
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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 #1100000000236485416 2,778 digits created before Nov 2018

Value

737227017176558979630424691136754963385726948635495961591333714597623163296260478485538701178515222953890909647496675792277736619227911086144598817281956627534295633859677885880328454385990357866139363014046674646679653513076894323610158370244192914556531821804581585635710011307891471183388244565075906018032693540530981747844589128545494801428580558250079179676810753267985025789467625764389627219903402975511842297567687356063103751583147142589493114378310372438350628942988195617736845893465316719208177221709634717012928434769667956590094210900505777856346330278296378410103039705359713255676889504238890280822262024716555318412404255934685190540914686299877889293411596884711016387450758822491949884364071420855769501471795447609472691951514709039212043393089448002325051859538835197314241639616623835809158509867085218428842124079420266130905050930023787126674342405413799819511595903744636369442732701226139310546756249470496515082192926196527908574297299004078110680325081629895616569545820772124662184705423712138214408763882734543784670103886125374251595770747463100272519402950240241928024684264955603731749705161450617077451896750833504633498112846075559512546058497377001085890903984161557163731920593692378376778889333750721142876442667216413588038933628116259803691499085202817295820347353421420704819272171220739575098307008000290441737625711532137907557117661299410423874240202066980957529378994753333355096718109535390265140015849942819063305099496802082964589859075463458290201092693926819856756437835214377584546404462726126777466304095181411891765895429772538877167765302867705661353020396491647111677615798461774148235148039974711631318061212572604008988343990422984863595536991020799445708632266322027109684953813131745358476602463297694961786876431653494849112213197014125267221708940816882405595404603308418152009714568893022699825071428676149084758876250939344464675624071172823085661600656119908305914901520744076391832094231392238744347830874157864533640258617574400182798214327150256318918298686691233781245546398658678428958975736228092383023688991850020924156306700292337352293313132700743982688586360796157161425225338128031269459056009714800415682543793324395011405887820577919320196753889986774853503308313080378424110913273503388588732762407657177764480397422135435984838607668071130690429171905173426908426664076277242662920161553171548702829172729222486111169415273460616922773565043946897308429992592557982195981714488901149540681651617351912994968241948895914535545897074457410068375028025426940509284401541616960655331120905040166117972508370595208985046690266531767655235017647778648098907426841136037626480620784356719129216313770751135649012635277590661012469671022905470318132243299489057297200070369244281687423019873061822491049751
term (751^967+1)/752
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Is factor of

Primality

N-1 primality proofproven prime

Proven by a Pocklington (N-1) test, base 3.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000236485416 --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":1100000000236485416},"decimal":true,"detail":2}}'