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A225718
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Composite squarefree numbers n such that p(i)+8 divides n-8, where p(i) are the prime factors of n.
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3
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4958, 51653, 55583, 271358, 291338, 789173, 1379438, 5430797, 5785073, 6350885, 7159958, 10532333, 12822818, 13892243, 14809517, 23831423, 24547058, 26734058, 27391073, 32079671, 32673383, 36126098, 42560693, 51346358, 52177658, 54949958
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OFFSET
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1,1
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LINKS
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EXAMPLE
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Prime factors of 789173 are 7, 11, 37 and 277. We have that (789173-8)/(7+8) = 52611, (789173-8)/(11+8) = 41535, (789173-8)/(37+8) = 17537 and (789173-8)/(277+8) = 2769.
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MAPLE
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with(numtheory); A225718:=proc(i, j) local c, d, n, ok, p, t;
for n from 2 to i do if not isprime(n) then p:=ifactors(n)[2]; ok:=1;
for d from 1 to nops(p) do if p[d][2]>1 or p[d][1]=j then ok:=0; break; fi;
if not type((n+j)/(p[d][1]-j), integer) then ok:=0; break; fi; od;
if ok=1 then print(n); fi; fi; od; end: A225718(10^9, -8);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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