997

997, Prime Number. Prime(168)

997 = 1 + 2 × (3 × 4 × 5 + 6) × 7 + 8 × 9

997 = 9 × 8 × 7 + 6 + 54 × 3² + 1

997 = 0^8 + 1^9 + 2^6 − 3^7 + 4^5 + 5^1 + 6^4 + 7^0 + 8^2 + 9^3

997 = 6^2 + 31^2

997^2 = 372^2 + 925^2

997 divides 91^12 - 1.

997 = (11 − 1)^(1+1+1) − 1 − 1 − 1

997 = (2 + 2/2)² × 222/2 − 2

997 = (3 × 3 + 3/3)³ − 3

997 = 4 × (4⁴ − 4) − 44/4

997 = (5 − 5/5)⁵ − ((5 + 5)/5)⁵ + 5

997 = 6×6+(6×6−6+6/6)^((6+6)/6)

997 = (7+7)×(77−7)+7+(77−7)/7

997 = 888 + (888 − 8 − 8)/8

997 = 999 − (9 + 9)/9

Number of conjugacy classes in the alternating group A_25.

Prime of the form x^2 + 27y^2.

Prime p such that (p+1)/2 is prime.

a(n) = 10^n - 3, n = 3