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A085962
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Numerators of Farey fractions with prime numerators and denominators.
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0
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2, 2, 3, 2, 2, 2, 3, 3, 2, 5, 2, 3, 2, 2, 3, 5, 3, 7, 2, 5, 2, 2, 3, 3, 2, 5, 2, 3, 5, 7, 3, 7, 2, 5, 11, 2, 2, 3, 2, 3, 3, 2, 5, 5, 2, 7, 3, 5, 7, 3, 7, 11, 2, 5, 13, 11, 2, 2, 2, 3, 3, 2, 3, 5, 3, 2, 5, 7, 5, 2, 7, 3, 5, 7, 11, 3, 7, 11, 2, 13, 5, 13, 11, 17, 2, 2, 2, 3, 2, 3, 3, 2, 5, 3, 5, 3, 2, 5, 7, 7, 5
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OFFSET
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3,1
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LINKS
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PROG
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(PARI) \ Farey sequence of order n fareyct(n) = { forprime(x=2, n, y = farey(x); \ print1(y", "); ) } farey(n) = { c=0; m=n*(n-2)+2; a=vector(m); forprime(x=1, n, forprime(y=x, n, v = x/y; if(v<1, c++; a[c]=v; ) ) ); a = vecsort(a); c=0; for(x=2, m, if(a[x]<>a[x-1] & a[x]<>0, print1(numerator(a[x])", "); c++; ) ); return(c) }
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CROSSREFS
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KEYWORD
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easy,nonn,frac
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AUTHOR
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STATUS
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approved
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