Those Fascinating Numbers 379
11 117 311 111 311 111
the second odd insolite number which is not of the form 11 . . . 1.
11 131 117 111 113 111
the third odd insolite number which is not of the form 11 . . . 1.
11 721 060 349 748 875 (=
53
·
1813
·
2513)
the 1 000
000th
3-powerful number (see the number 216).
12 345 678 987 654 321
the square of 111 111 111.
13 111 131 117 111 111
the fourth odd insolite number which is not of the form 11 . . . 1.
14 737 133 470 010 574 (= 2 · 3 · 7 · 71 · 103 · 67213 · 713 863)
the eighth Giuga number (see the number 30).
17 111 113 131 111 111
the fifth odd insolite number which is not of the form 11 . . . 1.
22 114 397 130 086 627
the number of 18 digit prime numbers.
22 439 962 446 379 651
the smallest prime number p such that p + 1000 is prime and such that each
number between p and p + 1000 is composite (see the number 396 733): this
prime number p was discovered in 2003 by Nyman & Nicely [154].
26 584 448 904 822 018
the smallest number which is not an eighth power, but which can be written
as the sum of the eighth powers of some of its prime factors: here
26 584 448 904 822 018 = 2 · 3 · 7 · 17 · 19 · 113 · 912733109 =
28
+
178
+
1138
(see the number 870); at least one more number satisfies this property, namely
210913096528905026899530575850386805453832507856329770499303938.
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