Les premiers champions p de eta2 et les valeurs  eta2(p)

Si p et p^ sont deux champions consecutifs et p <= x < p^ 
on a eta2(x) = eta2(p)

Si p est un champion, pour tout x >= p, l'intervalle
(eta1(x), x] contient au moins 2 nombres premier.


[     3,    2/5],
[     5,    3/7],
[     7,    5/11],
[    11,    7/13],
[    13,    11/17],
[    17,    19/29],
[    29,    23/31],
[    31,    31/41],
[    41,    47/59],
[    59,    83/97],
[    97,    109/127],
[   127,    113/131],
[   131,    199/223],
[   223,    283/307],
[   307,    317/337],
[   337,    331/347],
[   347,    523/547],
[   547,    619/641],
[   641,    773/797],
[   797,    1321/1361],
[  1361,    1327/1367],
[  1367,    1381/1409],
[  1409,    2161/2203],
[  2203,    2477/2521],
[  2521,    3121/3163],
[  3163,    3259/3299],
[  3299,    3947/3989],
[  3989,    4159/4201],
[  4201,    4297/4337],
[  4337,    4817/4861],
[  4861,    5591/5639],
[  5639,    5939/5981],
[  5981,    6481/6521],
[  6521,    7253/7297],
[  7297,    7963/8009],
[  8009,    8467/8513],
[  8513,    9551/9601],
[  9601,    9967/10007],
[ 10007,    11003/11047],
[ 11047,    14087/14143],
[ 14143,    19609/19681],
[ 19681,    24251/24317],
[ 24317,    25471/25537],
[ 25537,    31397/31477],
[ 31477,    38461/38543],
[ 38543,    58789/58889],
[ 58889,    58831/58897],
[ 58897,    62233/62297],
[ 62297,    69557/69623],
[ 69623,    74941/75011],
[ 75011,    79699/79769],
[ 79769,    84559/84629],
[ 84629,    89681/89753],
[ 89753,    102679/102761],
[102761,    107357/107441],
[107441,    155893/156007],
[156007,    155921/156011],
[156011,    188029/188137],
[188137,    190409/190507],
[190507,    206651/206749],
[206749,    212683/212777],
[212777,    212701/212791],
[212791,    268297/268403],
[268403,    268343/268439],
[268439,    286873/286973],
[286973,    396733/396871]