44 lines
960 B
Python
44 lines
960 B
Python
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#!/usr/bin/python
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# -*- coding: utf-8 -*-
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from math import sqrt
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primzahlen = [2]
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stop = 50000000
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menge = set()
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# maximalwerte der einzelnen werte festlegen
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max_eins = int(stop ** (1/2.))
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max_zwei = int(stop ** (1/3.))
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max_drei = int(stop ** (1/4.))
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print "Maximalwerte:", max_eins, max_zwei, max_drei
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# die primzahlen in der liste bis zu maximalwert ergänzen
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for x in xrange(3, max_eins, 2):
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ende = sqrt(x)
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for i in (p for p in primzahlen[1:] if p <= ende):
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if x % i == 0:
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break
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else:
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primzahlen.append(x)
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for drei in primzahlen:
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if drei > max_drei:
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break
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summand_drei = drei ** 4
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for zwei in primzahlen:
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summand_zwei = zwei ** 3
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if summand_drei + summand_zwei >= stop:
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break
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for eins in primzahlen:
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summe = summand_drei + summand_zwei + eins * eins
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if summe <= stop:
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menge.add(summe)
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print "Count:", len(menge)
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