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A117243
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Chen numbers which are also twin primes.
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0
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3, 5, 7, 11, 13, 17, 19, 29, 31, 41, 59, 71, 101, 107, 109, 137, 139, 149, 179, 181, 191, 197, 199, 227, 239, 269, 281, 311, 347, 419, 431, 461, 521, 569, 571, 599, 617, 641, 659, 809, 811, 821, 827, 829, 857, 881, 1019, 1031, 1049, 1061, 1091, 1151, 1229
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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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(3, 5) are twin numbers and also Chen numbers.
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MAPLE
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ischenprime:=proc(n); if (isprime(n) = 'true') then if (isprime(n+2) = 'true' or numtheory[bigomega](n+2) = 2) then RETURN('true') else RETURN('false') fi fi end:
ts_chen_twin_primes:=proc(n) local i, ans; ans:=[ ]: for i from 1 to n do if (ischenprime(i) = 'true') and (isprime(i+2) = 'true' or isprime(i-2) = 'true') then ans:=[op(ans), i]: fi od; RETURN(ans) end:
ts_chen_twin_primes(1230);
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MATHEMATICA
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Select[Prime[Range[250]], PrimeOmega[#+2]<3&&AnyTrue[#+{2, -2}, PrimeQ]&] (* Harvey P. Dale, Jul 28 2023 *)
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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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