194 Jean-Marie De Koninck
15 877
the 18th (and largest known) prime number pk such that p1p2 . . . pk −1 is prime
(see the number 317).
16 111
the prime number which appears the most often as the
17th
prime factor of an
integer (see the number 199).
16 363
the third number which is equal to the sum of the fifth powers of its digits
added to the product of its digits (see the number 1 324).
16 447
the 10
000th
square-free number (see the number 165).
16 513 (=
72
· 337)
the second 6-hyperperfect number (see the number 301).
16 575
the smallest number n such that β(n) β(n + 1) . . . β(n + 7); here
38 46 148 312 340 836 5530 8293 (see the number 714).
16 641
the ninth powerful number which can be written as the sum of two co-prime
3-powerful numbers = 1: 16 641 = 2 000 + 14 641, that is
32
·
432
=
24
·
53
+
114
(see the number 841).
16 767
the smallest number n such that n and n+1 are both divisible by a sixth power:
16 767 =
36
· 23, 16 768 =
27
· 131 (see the number 1 215).
16 787
the smallest prime number equally distant, by a distance of 24, from the
preceding and following prime numbers: p1938 = 16 763, p1939 = 16 787 and
p1940 = 16 811.
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