286 Jean-Marie De Koninck

3 405 122

• the smallest number n such that Ω(n) = Ω(n + 1) = . . . = Ω(n + 8): here the

common value is 4; it is also the smallest number n such that Ω(n) = Ω(n+1) =

. . . = Ω(n + 9) (see the number 602).

3 424 006

• the number of twin prime pairs 109 (see the number 1 224).

3 485 664 (=

25

·

32

·

72

· 13 · 19)

• the third solution of

σ(n)

n

=

15

4

(see the number 293 760).

3 523 884

• the smallest number n such that π(n) = n/14 (see the number 330).

3 538 944 (=

217

·

33)

• the smallest number n such that γ(n)3|σ(n) (see the number 96).

3 565 979

• the smallest prime number equally distant, by a distance of 48, from the preced-

ing and the following prime numbers: p254478 = 3 565 931, p254479 = 3 565 979

and p254480 = 3 566 027.

3 612 703

• the only prime number p such that p|An for all n ≥ p, where An := n! − (n −

1)! + (n − 2)! − . . . −

(−1)n1!,

a result established by M. Zivkovi´ c [209].

3 628 800

• the value of 10! .

3 628 811

• the fourth prime number of the form n! + n + 1, here with n = 10 (see the

number 52).

3 632 617

• the smallest number n such that φ(n) = 10! (see the number 779).