47 lines
918 B
Python
47 lines
918 B
Python
#!/usr/bin/env python3
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from math import gcd
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from collections import defaultdict
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def getreps(n):
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sieve = [1] * n
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yield 1, 1
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for p in range(2, n):
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if sieve[p] == 1:
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for i in range(p, n, p):
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sieve[i] *= p
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yield p, sieve[p]
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N = 120000
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repunits = list(getreps(N))
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sortedreps = sorted(set(list(zip(*repunits))[1]))
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repmap = defaultdict(list)
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for n, rep in repunits:
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repmap[rep].append(n)
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count = 0
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s = 0
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for c, repC in repunits:
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root = c // repC
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if root <= 2:
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continue
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for repA in sortedreps:
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if repA >= root:
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break
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if gcd(repA, repC) != 1:
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continue
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for a in repmap[repA]:
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if 2*a >= c:
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break
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b = c - a
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repB = repunits[b-1][1]
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if repA*repB >= root:
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continue
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count += 1
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s += c
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print(s)
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