Les premiers champions p de eta1 et les valeurs eta1(p). Si p et p^ sont deux champions consecutifs et p <= x < p^ on a eta1(x) = eta1(p). Si p est un champion, pour tout x >= p, l'intervalle (eta1(x), x] contient au moins un nombre premier. [ 2, 3/5], [ 5, 7/11], [ 11, 13/17], [ 17, 23/29], [ 29, 31/37], [ 37, 47/53], [ 53, 113/127], [ 127, 139/149], [ 149, 199/211], [ 211, 211/223], [ 223, 293/307], [ 307, 317/331], [ 331, 523/541], [ 541, 1327/1361], [ 1361, 1669/1693], [ 1693, 1951/1973], [ 1973, 2179/2203], [ 2203, 2477/2503], [ 2503, 2971/2999], [ 2999, 3271/3299], [ 3299, 4297/4327], [ 4327, 4831/4861], [ 4861, 5591/5623], [ 5623, 5749/5779], [ 5779, 5953/5981], [ 5981, 6491/6521], [ 6521, 6917/6947], [ 6947, 7253/7283], [ 7283, 8467/8501], [ 8501, 9551/9587], [ 9587, 9973/10007], [ 10007, 10799/10831], [ 10831, 11743/11777], [ 11777, 15683/15727], [ 15727, 19609/19661], [ 19661, 31397/31469], [ 31469, 34061/34123], [ 34123, 35617/35671], [ 35671, 35677/35729], [ 35729, 43331/43391], [ 43391, 44293/44351], [ 44351, 45893/45943], [ 45943, 48679/48731], [ 48731, 58831/58889], [ 58889, 59281/59333], [ 59333, 60539/60589], [ 60589, 79699/79757], [ 79757, 89689/89753], [ 89753, 107377/107441], [107441, 155921/156007], [156007, 188029/188107], [188107, 212701/212777], [212777, 218287/218357], [218357, 265621/265703], [265703, 370261/370373], [370373, 396733/396833], [396833, 492113/492227], [492227, 604073/604171]