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

1,1

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.

Links

Table of n, a(n) for n=1..63.

Formula

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

Crossrefs

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

Sequence in context: A120969 A265374 A231032 * A137723 A256352 A255533

Adjacent sequences: A232006 A232007 A232008 * A232010 A232011 A232012

Keyword

nonn

Author

Jaroslav Krizek, Nov 20 2013

Status

approved