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A260517
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Numbers equidistant from twin prime pairs that are also equidistant from numbers equidistant from twin prime pairs.
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1
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51, 105, 144, 165, 234, 255, 276, 630, 1041, 2289, 2325, 2466, 4251, 5460, 9006, 9699, 10380, 10479, 12006, 13701, 14166, 15690, 18090, 19425, 20190, 20295, 21540, 26706, 26796, 32487, 32871, 33684, 33789, 35520, 37455, 38661, 41685, 42771, 46515, 47760
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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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165 is a term because it is equidistant from 144 and 186. 144 and 186 are both equidistant from twin primes, according to A074953.
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MATHEMATICA
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t = Select[ Prime@ Range@ 5000, PrimeQ[# + 2] &]; d = Differences@ t; (t[[#+1]] + t[[#+2]]& /@ Select[ Range[ Length[d] - 2], d[[#]] == d[[#+2]] &])/2 + 1 (* Robert G. Wilson v, Jul 29 2015 *)
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CROSSREFS
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Cf. A001097 (Twin primes), A074953 (Numbers equidistant from twin prime pairs).
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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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