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A088119
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Sequence of primes p(n) such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3 are consecutive primes, where p(i) denotes the i-th prime.
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5
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193, 223, 1607, 15733, 39877, 63647, 65407, 68207, 72673, 84299, 89977, 96787, 99137, 102533, 103687, 115837, 127807, 143567, 150373, 191999, 204793, 257867, 324217, 344957, 375253, 412033, 427433, 491149, 551717, 595117, 642527, 646897
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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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MAPLE
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r:= 1: q:= 2: p:= 3: count:= 0:
while count < 100 do
r:= q; q:= p; p:= nextprime(p);
if isprime(2*r+3) and nextprime(2*r+3)=2*q+3 and nextprime(2*q+3)=2*p+3 then
count:= count+1;
A[count]:= r;
fi
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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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