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A236249
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Primes of the form C(2*m, m) - prime(m), where C(2*m, m) = (2*m)!/(m!)^2.
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5
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OFFSET
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1,1
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COMMENTS
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Though the primes in this sequence are very rare, according to the conjecture in A236256 there should be infinitely many such primes.
See A236248 for a list of known numbers m with C(2*m, m) - prime(m) prime.
See also A236245 for a similar sequence.
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LINKS
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EXAMPLE
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a(1) = 3 since C(2*1, 1) - prime(1) = 0 is not prime, but C(2*2, 2) - prime(2) = 6 - 3 = 3 is prime.
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MATHEMATICA
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t[n_]:=Binomial[2n, n]-Prime[n]
Table[a[n], {n, 1, 6}]
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CROSSREFS
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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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