Les premiers champions p de eta3 et les valeurs eta3(p). Si p et p^ sont deux champions consecutifs et p <= x < p^ on a eta3(x) = eta3(p). Si p est un champion, pour tout x >= p, l'intervalle (eta3(x), x] contient au moins 3 nombres premiers. [ 5, 3/11], [ 11, 5/13], [ 13, 7/17], [ 17, 13/23], [ 23, 17/29], [ 29, 19/31], [ 31, 23/37], [ 37, 29/41], [ 41, 31/43], [ 43, 43/59], [ 59, 47/61], [ 61, 53/67], [ 67, 79/97], [ 97, 83/101], [ 101, 113/137], [ 137, 199/227], [ 227, 283/311], [ 311, 317/347], [ 347, 523/557], [ 557, 773/809], [ 809, 887/919], [ 919, 1321/1367], [ 1367, 1327/1373], [ 1373, 1381/1423], [ 1423, 2153/2203], [ 2203, 2477/2531], [ 2531, 2551/2591], [ 2591, 3121/3167], [ 3167, 3947/4001], [ 4001, 4159/4211], [ 4211, 4817/4871], [ 4871, 5581/5639], [ 5639, 5927/5981], [ 5981, 5953/6007], [ 6007, 6491/6547], [ 6547, 7351/7411], [ 7411, 7759/7817], [ 7817, 7951/8009], [ 8009, 9551/9613], [ 9613, 9973/10037], [ 10037, 10369/10427], [ 10427, 11177/11239], [ 11239, 11719/11777], [ 11777, 12829/12889], [ 12889, 13933/13997], [ 13997, 14087/14149], [ 14149, 14563/14621], [ 14621, 19603/19681], [ 19681, 19609/19687], [ 19687, 24251/24329], [ 24329, 35617/35729], [ 35729, 38461/38557], [ 38557, 43801/43889], [ 43889, 58789/58897], [ 58897, 69557/69653], [ 69653, 73141/73237], [ 73237, 74933/75011], [ 75011, 83117/83203], [ 83203, 83477/83557], [ 83557, 85909/85991], [ 85991, 88129/88211], [ 88211, 89671/89753], [ 89753, 105769/105863], [105863, 110323/110419], [110419, 110339/110431], [110431, 113233/113327], [113327, 118931/119027], [119027, 155893/156011], [156011, 175141/175261], [175261, 206651/206779], [206779, 268297/268439]