Strange unique prime triplets: Difference between revisions

Using [https://docs.sympy.org/latest/modules/ntheory.html#sympy.ntheory.generate.Sieve.primerange sympy.primerange].

<lang python>from sympy import primerange

def strange_triplets(mx: int = 30) -> None:

primes = list(primerange(0, mx))

primes3 = set(primerange(0, 3 * mx))

c = 0

for i, n in enumerate(primes):

for j, m in enumerate(primes[i + 1:], i + 1):

for p in primes[j + 1:]:

if n + m + p in primes3:

c += 1

print(f"{c:2}: {n:2}+{m:2}+{p:2} = {n + m + p}")

strange_triplets()</lang>

<pre> 1: 3+ 5+11 = 19

2: 3+ 5+23 = 31

3: 3+ 5+29 = 37

4: 3+ 7+13 = 23

5: 3+ 7+19 = 29

6: 3+11+17 = 31

7: 3+11+23 = 37

8: 3+11+29 = 43

9: 3+17+23 = 43

10: 5+ 7+11 = 23

11: 5+ 7+17 = 29

12: 5+ 7+19 = 31

13: 5+ 7+29 = 41

14: 5+11+13 = 29

15: 5+13+19 = 37

16: 5+13+23 = 41

17: 5+13+29 = 47

18: 5+17+19 = 41

19: 5+19+23 = 47

20: 5+19+29 = 53

21: 7+11+13 = 31

22: 7+11+19 = 37

23: 7+11+23 = 41

24: 7+11+29 = 47

25: 7+13+17 = 37

26: 7+13+23 = 43

27: 7+17+19 = 43

28: 7+17+23 = 47

29: 7+17+29 = 53

30: 7+23+29 = 59

31: 11+13+17 = 41

32: 11+13+19 = 43

33: 11+13+23 = 47

34: 11+13+29 = 53

35: 11+17+19 = 47

36: 11+19+23 = 53

37: 11+19+29 = 59

38: 13+17+23 = 53

39: 13+17+29 = 59

40: 13+19+29 = 61

41: 17+19+23 = 59

42: 19+23+29 = 71</pre>