EKG数列
p = a m {\displaystyle p=a_{m}} :素数ならば a m − 1 = 2 p {\displaystyle a_{m-1}=2p} , a m + 1 = 3 p {\displaystyle a_{m+1}=3p}
n → ∞ {\displaystyle n\rightarrow \infty } に対し a n {\displaystyle a_{n}} の極限は: a n {\displaystyle a_{n}} :奇素数 ⇒ a n ∼ 1 2 n ( 1 + 1 3 l o g n ) {\displaystyle a_{n}\sim {\frac {1}{2}}n(1+{\frac {1}{3logn}})} a n {\displaystyle a_{n}} :奇素数の3倍 ⇒ a n ∼ 3 2 n ( 1 + 1 3 l o g n ) {\displaystyle a_{n}\sim {\frac {3}{2}}n(1+{\frac {1}{3logn}})} a n {\displaystyle a_{n}} :奇素数でも奇素数の3倍でもない ⇒ a n ∼ 3 2 n ( 1 + 1 3 l o g n ) {\displaystyle a_{n}\sim {\frac {3}{2}}n(1+{\frac {1}{3logn}})}