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A089450
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Sequence of primes 2*p(k) + 3 such that 2*p(k) + 3, 2*p(k+1) + 3, 2*p(k+2) + 3 are consecutive primes, where p(i) denotes the i-th prime. Sequence terms are 2*p(k) + 3.
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4
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389, 449, 3217, 31469, 79757, 127297, 130817, 136417, 145349, 168601, 179957, 193577, 198277, 205069, 207377, 231677, 255617, 287137, 300749, 384001, 409589, 515737, 648437, 689917, 750509, 824069, 854869, 982301, 1103437, 1190237
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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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p(44)=193, 2*193 + 3 = 389 = p(77);
p(45)=197, 2*197 + 3 = 397 = p(78);
p(46)=199, 2*199 + 3 = 401 = p(79).
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MATHEMATICA
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cpQ[n_]:=Module[{p1=2n+3, p2=2NextPrime[n]+3, p3=2NextPrime[n, 2]+3, pr = PrimePi[ 2n+3]}, {p1, p2, p3}==Prime[Range[pr, pr+2]]]; 2#+3&/@ Select[ Prime[ Range[50000]], cpQ] (* Harvey P. Dale, Sep 24 2019 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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