A232009 a(n) = the smallest squarefree number (from A005117) of the form p*q with prime factors in a p^2 + n progression, or 0 if no such number exists.

10, 33, 14, 39, 0, 155, 22, 51, 26, 57, 0, 185, 34, 69, 38, 205, 0, 215, 46, 87, 0, 93, 0, 511, 58, 0, 62, 111, 0, 553, 0, 123, 74, 129, 0, 305, 82, 141, 86, 623, 0, 335, 94, 159, 0, 355, 0, 365, 106, 177, 0, 183, 0, 395, 118, 0, 122, 201, 0, 763, 0, 213, 134

Offset: 1

Author

Jaroslav Krizek, Nov 20 2013

Keywords

• nonn

Comments

a(n) = the smallest squarefree number m of the form p*q with prime factors p and q = p^2 + n, or 0 if no such number exists; m = p^3 + p*n.

a(n) = 0 for numbers n from A232010.

Crossrefs

Cf. A005117, A232010, A067775, A232012, A023200.

Formula

a(4) = 39 because 39 = 3 * 13 = 3 * (3^2 + 4).