What is the sum of all positive integers less than LaTeX: \(10^4\) which are relatively prime to LaTeX: \(10^4?\)

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def num_factors(n, p, rpt):
    results = []
    for i in range(1, int(n**0.5) + 1):            
        if n % i == 0:
            if n == p:
                rpt.append(i)
                rpt.append(int(n/i))
            results.append(i)
            results.append(int(n/i))
    if n == p:
        rpt = sorted(set(rpt))
        rpt = rpt[1:]
    results = sorted(set(results))        
    results = results[1:]
    k = set(results).intersection(set(rpt))
   # print k
    if len(k) == 0:
        numbers.append(n)    
    return numbers
#################################################################
p = 10000   
r_p_to = []  # relatively prime to
numbers = []
for j in range (p, 0, -1):
    l = num_factors(j, p, r_p_to)    
print sorted(l)
print 'Number of positive integers relatively prime to %d: %d' %( p, len(l)) 
print 'Sum of positive integers relatively prime to %d: %d' %( p, sum(l))

[1, 3, 7, 9, 11, 13, 17, ......................................................, 9977, 9979, 9981, 9983, 9987, 9989, 9991, 9993, 9997, 9999]

Number of positive integers relatively prime to 10000: 4000 Sum of positive integers relatively prime to 10000: 20000000

Note by Michael Fitzgerald
8 months ago

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1 vote

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Are you testing features out or something?

Sharky Kesa - 5 months, 1 week ago

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