History of Densities of primes with a given primitive root

 Display properties:   number-header: $\delta(a)$-Numbers: []+Numbers:+- params:+    a: '-50'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-8$.+- params:+    a: '-49'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-4$.+- params:+    a: '-48'+  number: '0.4487469763430427456656736652156996981339550983273800505136913629008202184480336988131651805047006828'+  comment: This is $\frac{6}{5}A$; the quadratic-field discriminant is $d=-3$.+- params:+    a: '-47'+  number: '0.3741288611960737375170393583974790788853967771802389592821998791422078174782696501750976092284293059'+  comment: This is $\frac{2162}{2161}A$; the quadratic-field discriminant is $d=-47$.+- params:+    a: '-46'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-184$.+- params:+    a: '-45'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-20$.+- params:+    a: '-44'+  number: '0.3773866009001124007891751007165670244245799756575826112882725528982433029761751289713162832990602072'+  comment: This is $\frac{110}{109}A$; the quadratic-field discriminant is $d=-11$.+- params:+    a: '-43'+  number: '0.3741629913552794084359218095011789726823282121787850282676484771001298774317400092597305244651382424'+  comment: This is $\frac{1806}{1805}A$; the quadratic-field discriminant is $d=-43$.+- params:+    a: '-42'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-168$.+- params:+    a: '-41'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-164$.+- params:+    a: '-40'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-40$.+- params:+    a: '-39'+  number: '0.3734732899887258980056251794375823294147110173176259775242979729948761818051377235283761824845573424'+  comment: This is $\frac{774}{775}A$; the quadratic-field discriminant is $d=-39$.+- params:+    a: '-38'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-152$.+- params:+    a: '-37'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-148$.+- params:+    a: '-36'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-4$.+- params:+    a: '-35'+  number: '0.3734757676453650579031815485000153670819609183768738546209369708352996683275248370524631048701937647'+  comment: This is $\frac{778}{779}A$; the quadratic-field discriminant is $d=-35$.+- params:+    a: '-34'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-136$.+- params:+    a: '-33'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-132$.+- params:+    a: '-32'+  number: '0.2952282739098965432011010955366445382460230910048552963905864229610659331894958544823455134899346597'+  comment: This is $\frac{15}{19}A$; $-32=(-2)^5$ and the quadratic-field discriminant+    is $d=-8$.+- params:+    a: '-31'+  number: '0.3743583494788569729719021426718700388092736288522277062950600713112332285223101362542551290539752736'+  comment: This is $\frac{930}{929}A$; the quadratic-field discriminant is $d=-31$.+- params:+    a: '-30'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-120$.+- params:+    a: '-29'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-116$.+- params:+    a: '-28'+  number: '0.3830766871221096609341116654280363276753275229623976040970536024763099425775897428892873492113298512'+  comment: This is $\frac{42}{41}A$; the quadratic-field discriminant is $d=-7$.+- params:+    a: '-27'+  number: '0.4487469763430427456656736652156996981339550983273800505136913629008202184480336988131651805047006828'+  comment: This is $\frac{6}{5}A$; $-27=(-3)^3$ and the quadratic-field discriminant+    is $d=-3$.+- params:+    a: '-26'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-104$.+- params:+    a: '-25'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-4$.+- params:+    a: '-24'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-24$.+- params:+    a: '-23'+  number: '0.3746963201808244708033512782164093189039295045439840025741383327191667170539687320123128404874233424'+  comment: This is $\frac{506}{505}A$; the quadratic-field discriminant is $d=-23$.+- params:+    a: '-22'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-88$.+- params:+    a: '-21'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-84$.+- params:+    a: '-20'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-20$.+- params:+    a: '-19'+  number: '0.3750524582339213563481436791392211553318979560800683706639355965593365462102334432895955320933715384'+  comment: This is $\frac{342}{341}A$; the quadratic-field discriminant is $d=-19$.+- params:+    a: '-18'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-8$.+- params:+    a: '-17'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-68$.+- params:+    a: '-16'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-4$.+- params:+    a: '-15'+  number: '0.3700194366337370008120467064059278212683489407260853048095349834445359695975014709512063769073847735'+  comment: This is $\frac{94}{95}A$; the quadratic-field discriminant is $d=-15$.+- params:+    a: '-14'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-56$.+- params:+    a: '-13'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-52$.+- params:+    a: '-12'+  number: '0.4487469763430427456656736652156996981339550983273800505136913629008202184480336988131651805047006828'+  comment: This is $\frac{6}{5}A$; the quadratic-field discriminant is $d=-3$.+- params:+    a: '-11'+  number: '0.3773866009001124007891751007165670244245799756575826112882725528982433029761751289713162832990602072'+  comment: This is $\frac{110}{109}A$; the quadratic-field discriminant is $d=-11$.+- params:+    a: '-10'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-40$.+- params:+    a: '-9'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-4$.+- params:+    a: '-8'+  number: '0.2243734881715213728328368326078498490669775491636900252568456814504101092240168494065825902523503414'+  comment: This is $\frac{3}{5}A$; $-8=(-2)^3$ and the quadratic-field discriminant+    is $d=-8$.+- params:+    a: '-7'+  number: '0.3830766871221096609341116654280363276753275229623976040970536024763099425775897428892873492113298512'+  comment: This is $\frac{42}{41}A$; the quadratic-field discriminant is $d=-7$.+- params:+    a: '-6'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-24$.+- params:+    a: '-5'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-20$.+- params:+    a: '-4'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-4$.+- params:+    a: '-3'+  number: '0.4487469763430427456656736652156996981339550983273800505136913629008202184480336988131651805047006828'+  comment: This is $\frac{6}{5}A$; the quadratic-field discriminant is $d=-3$.+- params:+    a: '-2'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=-8$.+- params:+    a: '2'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=8$.+- params:+    a: '3'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=12$.+- params:+    a: '5'+  number: '0.3936376985465287242681347940488593843280307880064737285207818972814212442526611393097940179865795463'+  comment: This is $\frac{20}{19}A$; the quadratic-field discriminant is $d=5$.+- params:+    a: '6'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=24$.+- params:+    a: '7'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=28$.+- params:+    a: '8'+  number: '0.2243734881715213728328368326078498490669775491636900252568456814504101092240168494065825902523503414'+  comment: This is $\frac{3}{5}A$; $8=2^3$ and the quadratic-field discriminant is+    $d=8$.+- params:+    a: '10'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=40$.+- params:+    a: '11'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=44$.+- params:+    a: '12'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=12$.+- params:+    a: '13'+  number: '0.3763684317715842383002424288905868435962204050487703649469669495297201832144798764239449901007167017'+  comment: This is $\frac{156}{155}A$; the quadratic-field discriminant is $d=13$.+- params:+    a: '14'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=56$.+- params:+    a: '15'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=60$.+- params:+    a: '17'+  number: '0.3753357243705646581213506670930821583408234524755454297039484954152001827117625033123644806189378405'+  comment: This is $\frac{272}{271}A$; the quadratic-field discriminant is $d=17$.+- params:+    a: '18'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=8$.+- params:+    a: '19'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=76$.+- params:+    a: '20'+  number: '0.3936376985465287242681347940488593843280307880064737285207818972814212442526611393097940179865795463'+  comment: This is $\frac{20}{19}A$; the quadratic-field discriminant is $d=5$.+- params:+    a: '21'+  number: '0.3721316389186208134788513321300924325988895937349005296942806424055582299325157502353077106624347125'+  comment: This is $\frac{204}{205}A$; the quadratic-field discriminant is $d=21$.+- params:+    a: '22'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=88$.+- params:+    a: '23'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=92$.+- params:+    a: '24'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=24$.+- params:+    a: '26'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=104$.+- params:+    a: '27'+  number: '0.2243734881715213728328368326078498490669775491636900252568456814504101092240168494065825902523503414'+  comment: This is $\frac{3}{5}A$; $27=3^3$ and the quadratic-field discriminant is+    $d=12$.+- params:+    a: '28'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=28$.+- params:+    a: '29'+  number: '0.3744169181982641897662628608252652639588692353491909176090396492760645472459960577849261473179376844'+  comment: This is $\frac{812}{811}A$; the quadratic-field discriminant is $d=29$.+- params:+    a: '30'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=120$.+- params:+    a: '31'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=124$.+- params:+    a: '32'+  number: '0.2952282739098965432011010955366445382460230910048552963905864229610659331894958544823455134899346597'+  comment: This is $\frac{15}{19}A$; $32=2^5$ and the quadratic-field discriminant+    is $d=8$.+- params:+    a: '33'+  number: '0.3732696561630202655078386450723862932490391031958635282560368523211715578527986730189019238448886413'+  comment: This is $\frac{544}{545}A$; the quadratic-field discriminant is $d=33$.+- params:+    a: '34'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=136$.+- params:+    a: '35'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=140$.+- params:+    a: '37'+  number: '0.3742367721568575865431237929296969683912022232482282915628831050487681761662790425864863639070005694'+  comment: This is $\frac{1332}{1331}A$; the quadratic-field discriminant is $d=37$.+- params:+    a: '38'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=152$.+- params:+    a: '39'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=156$.+- params:+    a: '40'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=40$.+- params:+    a: '41'+  number: '0.3741839745793116244110762715851878711306113286846162715286017058965553987465808755611098718871817774'+  comment: This is $\frac{1640}{1639}A$; the quadratic-field discriminant is $d=41$.+- params:+    a: '42'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=168$.+- params:+    a: '43'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=172$.+- params:+    a: '44'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=44$.+- params:+    a: '45'+  number: '0.3936376985465287242681347940488593843280307880064737285207818972814212442526611393097940179865795463'+  comment: This is $\frac{20}{19}A$; the quadratic-field discriminant is $d=5$.+- params:+    a: '46'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=184$.+- params:+    a: '47'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=188$.+- params:+    a: '48'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=12$.+- params:+    a: '50'+  number: '0.3739558136192022880547280543464164151116292486061500420947428024173501820400280823443043170872505690'+  comment: This is $A$; the quadratic-field discriminant is $d=8$.