388 Jean-Marie De Koninck
10 000 000 000 000 000 000 009
the smallest 23 digit prime number.
11 111 111 111 111 111 111 111
the third prime number of the form 11 . . . 1 (see the number 19).
11 111 111 111 111 111 122 112
an insolite number (see the number 111).
21 000 000 000 000 000 000 001
the fourth prime number of the form k ·
10k
+ 1 (see the numbers 3 001 and
201).
35 452 590 104 031 691 935 943
the largest narcissistic prime number: there exist only three narcissistic prime
numbers (see the number 28 116 440 335 967).
87 674 969 936 234 821 377 601 (= 7·13·17·19·23·31·37·41·61·67·89·163·193·241)
the smallest Carmichael number which is the product of 14 prime numbers (see
the number 41 041).
99 999 999 999 999 999 999 977
the largest 23 digit prime number.
100 000 000 000 000 000 000 117
the smallest 24 digit prime number.
146 361 946 186 458 562 560 000 (=
218
· 3 ·
54
· 7 · 11 · 13 · 19 · 37 · 79 · 109 · 157 · 313)
the largest known unitary perfect number (see the number 6); the other four
are 6, 60, 90 and 87 360.
244 294 249 389 674 423 328 124
possibly the smallest number n such that
Q7(n) := min(λ(n), λ(n + 1), . . . , λ(n + 6))
7
6
:
here
Q7(n) min(1.32585, 1.17568, 1.20547, 1.19621, 1.23233, 1.16671, 1.16896)
= 1.66671.
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