Those Fascinating Numbers 305
23 592 593
the smallest prime number q such that

p≤q
p is divisible by 9 699 690 (=
2 · 3 · 5 · 7 · 11 · 13 · 17 · 19): here this sum is equal to 16 904 658 530 760 (see the
number 269).
24 036 583
the exponent of the 41rst Mersenne prime 224 036 583 1 (a 7 235 733 digit num-
ber) discovered by Michael Shafer on May 15, 2004, using the programme
developed by G. Woltman (see the number 1 398 269).
24 151 040
the smallest number n such that n and n + 1 are both divisible by a tenth
power: here 24 151 040 =
210
· 5 · 53 · 89 and 24 151 041 =
310
· 409 (see the
number 1 215).
24 208 144
the largest number n such that P
(n2+1)
100: here
n2+1
=
293·372·53·612·89:
this is a result due to F. Luca [127].
24 678 050
the smallest number n 1 which is equal to the sum of the eighth powers of
its digits: the only other numbers satisfying this property are 24 678 051 and
88 593 477.
24 678 051
the second number n 1 which is equal to the sum of the eighth powers of its
digits (see the number 24 678 050).
24 883 200
the value of 1! · 2! · . . . · 6! .
25 153 757 (=
2933)
the 1 000th 3-powerful number (see the number 216).
25 326 001
the smallest strong pseudoprime in bases 2, 3 and 5.
Previous Page Next Page