Data update

This commit is contained in:
Ingy döt Net 2026-04-30 12:34:36 -04:00
parent 4bb20c9b71
commit cbaf4c4b64
12390 changed files with 318560 additions and 27248 deletions

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with Ada.Text_IO;
procedure smith is
type Vector is array (natural range <>) of Positive;
empty_vector : constant Vector(1..0):= (others=>1);
function digits_sum (n : Positive) return Positive is
(if n < 10 then n else n mod 10 + digits_sum (n / 10));
function prime_factors (n : Positive; d : Positive := 2) return Vector is
(if n = 1 then empty_vector elsif n mod d = 0 then prime_factors (n / d, d) & d
else prime_factors (n, d + (if d=2 then 1 else 2)));
function vector_digits_sum (v : Vector) return Natural is
(if v'Length = 0 then 0 else digits_sum (v(v'First)) + vector_digits_sum (v(v'First+1..v'Last)));
begin
for n in 1..10000 loop
declare
primes : Vector := prime_factors (n);
begin
if primes'Length > 1 and then vector_digits_sum (primes) = digits_sum (n) then
Ada.Text_IO.put (n'img);
end if;
end;
end loop;
end smith;

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/** Solver for the Rosetta Code problem Smith numbers
https://rosettacode.org/wiki/Smith_numbers
*/
for n = 2 to 10000
if isSmith[n]
print["$n "]
println[]
isSmith[n] :=
{
if isPrime[n]
return false
sn = sumDigits[n]
ss = 0
for [b,p] = factor[n]
ss = ss + sumDigits[b] * p
return sn == ss
}
sumDigits[n] := sum[integerDigits[n]]

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N ← 10000
Primes ← ⇌◌⍢(⊃(▽≠0◿⊢..|⊂⊢)|>0⧻)⊙[]↘2⇡N
Candidates ← ▽¬∊:Primes.↘2⇡ # Exclude primes
SumD ← /+≡⋕°⋕
PrimeDivisors ← ◌◌⍢(⟜(÷/×)⟜(⊙⊂:)▽:⟜(=0◿)⊙.|⋅(>1))Primes ⊙[]
Smith ← ▽⊸≡(=⊃(SumD|/+≡SumD PrimeDivisors))
N ← 10000
Primes ← ⇌◌⍢(⊃(▽≠0◿⊸⊸⊢|⊂⊢)|>0⧻)⊙[]↘2⇡N
Candidates ← ▽¬∊Primes↘2⇡ # Exclude primes
SumD ← /+≡⋕°⋕
PrimeDivisors ← ◌◌⍢(⟜(÷/×)⟜(⊙⊂⊃⋅∘∘)˜▽⟜(=0◿)⊙⟜∘|⋅>₁)Primes ⊙[]
Smith ← ▽⊸≡(=⊃(SumD|/+≡SumD PrimeDivisors))
⟜⧻ Smith Candidates N