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A123079
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Twin primes of form 4k+1.
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0
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5, 13, 17, 29, 41, 61, 73, 101, 109, 137, 149, 181, 193, 197, 229, 241, 269, 281, 313, 349, 421, 433, 461, 521, 569, 601, 617, 641, 661, 809, 821, 829, 857, 881, 1021, 1033, 1049, 1061, 1093, 1153, 1229, 1277, 1289, 1301, 1321, 1429, 1453, 1481, 1489, 1609
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..50.
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MAPLE
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a[1]:=5:i:=2:for k from 6 to 3000 do if isprime(k) and isprime(k+2) then b:=k:c:=k+2: if b mod 4 = 1 then a[i]:=b:i:=i+1 fi: if c mod 4 = 1 then a[i]:=c:i:=i+1 fi:fi od: seq(a[n], n=1..i-1);
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MATHEMATICA
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Select[Union[Flatten[Select[Partition[Prime[Range[300]], 2, 1], #[[2]]-#[[1]]==2&]]], Mod[ #, 4]==1&] (* Harvey P. Dale, Oct 16 2022 *)
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CROSSREFS
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Cf. A122564, A122565, A001097.
Sequence in context: A283391 A145016 A354155 * A273950 A268511 A038938
Adjacent sequences: A123076 A123077 A123078 * A123080 A123081 A123082
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KEYWORD
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nonn
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AUTHOR
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Miklos Kristof, Sep 27 2006
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STATUS
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approved
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