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A173828
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Primes p such that p-+(floor(Sqrt(p)))^2 are primes.
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1
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7, 43, 47, 67, 149, 163, 167, 337, 353, 487, 587, 617, 787, 911, 947, 1367, 1777, 1783, 2333, 2347, 2503, 2927, 2953, 2963, 3023, 3607, 3613, 3637, 3643, 3697, 3709, 3847, 4363, 4397, 4423, 4463, 4483, 4903, 5273, 6113, 6143, 6197, 7103, 7187, 7193, 8117
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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f1[n_]:=n-(Floor[Sqrt[n]])^2; f2[n_]:=n+(Floor[Sqrt[n]])^2; lst={}; Do[p=Prime[n]; If[PrimeQ[f1[p]]&&PrimeQ[f2[p]], AppendTo[lst, p]], {n, 8!}]; lst
fQ[n_]:=Module[{c=Floor[Sqrt[n]]^2}, AllTrue[n+{c, -c}, PrimeQ]]; Select[ Prime[ Range[1200]], fQ] (* Harvey P. Dale, Dec 15 2021 *)
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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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