A358899 Numbers k such that p(k)^p(k) > p(k-1)^p(k+1), where p(k) = prime(k).
3, 5, 10, 35, 190, 206, 294, 296, 320, 332, 336, 430, 458, 463, 530, 558, 608, 616, 636, 726, 805, 837, 870, 891, 1117, 1171, 1198, 1230, 1232, 1275, 1328, 1371, 1391, 1410, 1445, 1571, 1634, 1651, 1709, 1832, 1880, 1987, 2028, 2066, 2075, 2244, 2249, 2311
Offset: 1
Keywords
Examples
For k = 3, we have prime(2) = 2, prime(3) = 5, prime(4) = 7, and 3125 = 5^5 > 3^7 = 2187.