330 Jean-Marie De Koninck
407 498 958
possibly the largest number n such that max(P (n), P (n + 1), P (n + 2)) 100:
here
407 498 958 = 2 ·
33
· 23 · 59 · 67 · 83,
407 498 959 = 7 ·
175
· 41,
407 498 960 =
24
· 5 ·
113
· 43 · 89.
415 074 643
the fourth prime number q which divides the sum of all the prime numbers q
(that is q|

pq
p); see the number 71.
427 333 057 (= 521 · 691 · 1187)
the smallest square-free composite number n such that p|n =⇒ p + 108|n + 108
(see the number 399).
433 494 437
the tenth prime Fibonacci number (see the number 89).
438 579 088
the largest number n = [d1, d2, . . . , dr] such that n =
1≤i≤r
di=0
di
di
(see the number
3 435).
455 052 511
the number of prime numbers
1010.
459 818 240 (=
28
· 5 · 7 · 19 · 37 · 73)
the fourth tri-perfect number (see the number 120).
472 335 975
the second number n 1 which is equal to the sum of the ninth powers of its
digits (see the number 146 511 208).
477 638 700
the 18th Catalan number (see the number 14).
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