defnum_factors(n,p,rpt):results=[]foriinrange(1,int(n**0.5)+1):ifn%i==0:ifn==p:rpt.append(i)rpt.append(int(n/i))results.append(i)results.append(int(n/i))ifn==p:rpt=sorted(set(rpt))rpt=rpt[1:]results=sorted(set(results))results=results[1:]k=set(results).intersection(set(rpt))# print kiflen(k)==0:numbers.append(n)returnnumbers#################################################################p=10000r_p_to=[]# relatively prime tonumbers=[]forjinrange(p,0,-1):l=num_factors(j,p,r_p_to)printsorted(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))

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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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