364 Jean-Marie De Koninck
824 633 702 441
the first member of the twin prime pair which initiated the discovery in 1994
of a bug in the Intel chip; indeed, while computing the value of the
Brun209
constant
1
3
+
1
5
+
1
5
+
1
7
+
1
11
+
1
13
+ . . . +
1
p
+
1
p + 2
+ . . .
= 1.902160577783278 . . . ,
working with a computer using this Intel chip, Nicely observed that the values
of the reciprocals of the prime numbers 824 633 702 441 and 824 633 702 443 were
wrong starting with the tenth decimal (see James Glanz [90]).
865 363 202 000
the
18th
powerful number n such that n + 1 is also powerful: here
865 363 202 000 =
24
·
53
·
112
·
312
·
612
and 865 363 202 001 =
34
·
412
·
25212
(see the number 288).
911 131 213 824
the
36th
insolite number (see the number 111); it is the smallest insolite number
containing the digit 9.
999 999 999 989
the largest 12 digit prime number.
1 000 000 000 039
the smallest 13 digit prime number.
1 018 976 683 725 (= 33 · 52 · 72 · 11 · 13 · 17 · 19 · 23 · 29)
the smallest odd number n such that σ(n) 3n; note that n = 945 is the
smallest odd number such that σ(n) 2n.
1 039 019 056 246 (= 2 · 317 · 1381 · 1186699)
the 1 000 000 000 000th composite number (see the number 133).
209This
is only the conjectured value of the Brun constant. Indeed, Carl Pomerance observed that
no one has even yet proved that this constant is smaller than 2.
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