A317537 The n-th positive integer that has exactly n representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.

1, 29, 91, 426, 1002, 2283, 3979, 5886, 10861, 17116, 20749, 35106, 44031, 60919, 67453, 108655, 142429, 197107, 232625, 303317, 352093, 432517, 542935, 642520, 839938, 988791, 1050505, 1208559, 1612876, 1753324, 2129203, 2391496, 2735890, 3141916, 3593278

Offset: 1

Author

Alois P. Heinz, Jul 30 2018

Keywords

• nonn

Examples

			a(1) = 1: 1.
a(2) = 29: 1 + 2 * (1 + 13) = 1 + 7 * (1 + 3) = 29.
a(3) = 91: 1 + 2 * (1 + 11 * (1 + 3)) = 1 + 3 * (1 + 29) = 1 + 5 * (1 + 17) = 91.
		

Crossrefs

A diagonal of A317390.

Cf. A317385.

Formula

a(n) = A317390(n,n).