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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Totient-function/J/totient-function.j Normal file
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nth_prime =: p: NB. 2 is the zeroth prime
totient =: 5&p:
primeQ =: 1&p:
NB. first row contains the integer
NB. second row totient
NB. third 1 iff prime
(, totient ,: primeQ) >: i. 25
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
1 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20
0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0
NB. primes first exceeding the limits
[&.:(p:inv) 10 ^ 2 + i. 4
101 1009 10007 100003
p:inv 101 1009 10007 100003
25 168 1229 9592
NB. limit and prime count
(,. p:inv) 10 ^ 2 + i. 5
100 25
1000 168
10000 1229
100000 9592
1e6 78498