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A118593
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Larger member of twin prime pairs whose sum is a square.
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2
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19, 73, 883, 1153, 2593, 3529, 4051, 15139, 20809, 34849, 46819, 69193, 83233, 103969, 112339, 149059, 176419, 180001, 206083, 281251, 362953, 388963, 438049, 472393, 478243, 538723, 649801, 734473, 808993, 960499, 1080451, 1143073
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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17 and 19 are twin primes whose sum is 36, a square, so 19 is a term in this sequence.
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MATHEMATICA
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Transpose[Select[Partition[Prime[Range[200000]], 2, 1], #[[2]]-#[[1]]==2 && IntegerQ[Sqrt[Total[#]]]&]][[2]] (* Harvey P. Dale, Jul 29 2014 *)
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PROG
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(PARI) g(n) = for(x=1, n, p1=prime(x); p2=prime(x+1); if(p2-p1==2&issquare(p1+p2), print1(p2", ")))
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CROSSREFS
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KEYWORD
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easy,nonn,changed
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AUTHOR
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STATUS
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approved
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