A210957 Prime pair (p, q), p<=q, such that p + q = 2*n and p*q is the minimal product.

2, 2, 3, 3, 3, 5, 3, 7, 5, 7, 3, 11, 3, 13, 5, 13, 3, 17, 3, 19, 5, 19, 3, 23, 5, 23, 7, 23, 3, 29, 3, 31, 5, 31, 7, 31, 3, 37, 5, 37, 3, 41, 3, 43, 5, 43, 3, 47, 5, 47, 7, 47, 3, 53, 5, 53, 7, 53, 3, 59, 3, 61, 5, 61, 7, 61, 3, 67, 5, 67, 3, 71, 3, 73

Offset: 2

Author

Omar E. Pol, Jun 29 2012

Keywords

• nonn

Comments

A020481 and A020482 interleaved.

Examples

			-----------------------------------
                 2*n    A073046(n)
       Pair       =         =
n     (p, q)     p+q       p*q
-----------------------------------
2     (2, 2)      4          4
3     (3, 3)      6          9
4     (3, 5)      8         15
5     (3, 7)     10         21
6     (5, 7)     12         35
7     (3, 11)    14         33
8     (3, 13)    16         39
9     (5, 13)    18         65
10    (3, 17)    20         51
11    (3, 19)    22         57
12    (5, 19)    24         95
		

Crossrefs

Cf. A000040, A002373, A073046, A210967.

Formula

p_n = A020481(n), n >= 2.

q_n = A020482(n), n >= 2.

p_n + q_n = 2*n, n >= 2.

p_n * q_n = A073046(n), n >= 2.