Chowla numbers: Difference between revisions
Added 11l
No edit summary |
Alextretyak (talk | contribs) (Added 11l) |
||
Line 74:
:* the OEIS entry for [http://oeis.org/A048050 A48050 Chowla's function].
<br><br>
=={{header|11l}}==
{{trans|C}}
<lang 11l>F chowla(n)
V sum = 0
V i = 2
L i * i <= n
I n % i == 0
sum += i
V j = n I/ i
I i != j
sum += j
i++
R sum
L(n) 1..37
print(‘chowla(’n‘) = ’chowla(n))
V count = 0
V power = 100
L(n) 2..10'000'000
I chowla(n) == 0
count++
I n % power == 0
print(‘There are ’count‘ primes < ’power)
power *= 10
count = 0
V limit = 350'000'000
V k = 2
V kk = 3
L
V p = k * kk
I p > limit
L.break
I chowla(p) == p - 1
print(p‘ is a perfect number’)
count++
k = kk + 1
kk += k
print(‘There are ’count‘ perfect numbers < ’limit)</lang>
{{out}}
<pre>
chowla(1) = 0
chowla(2) = 0
chowla(3) = 0
chowla(4) = 2
chowla(5) = 0
chowla(6) = 5
chowla(7) = 0
chowla(8) = 6
chowla(9) = 3
chowla(10) = 7
chowla(11) = 0
chowla(12) = 15
chowla(13) = 0
chowla(14) = 9
chowla(15) = 8
chowla(16) = 14
chowla(17) = 0
chowla(18) = 20
chowla(19) = 0
chowla(20) = 21
chowla(21) = 10
chowla(22) = 13
chowla(23) = 0
chowla(24) = 35
chowla(25) = 5
chowla(26) = 15
chowla(27) = 12
chowla(28) = 27
chowla(29) = 0
chowla(30) = 41
chowla(31) = 0
chowla(32) = 30
chowla(33) = 14
chowla(34) = 19
chowla(35) = 12
chowla(36) = 54
chowla(37) = 0
There are 25 primes < 100
There are 168 primes < 1000
There are 1229 primes < 10000
There are 9592 primes < 100000
There are 78498 primes < 1000000
There are 664579 primes < 10000000
6 is a perfect number
28 is a perfect number
496 is a perfect number
8128 is a perfect number
33550336 is a perfect number
There are 5 perfect numbers < 350000000
</pre>
=={{header|Ada}}==
| |||