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A361546
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a(n) is the least odd number k such that k*2^prime(n) + 1 is prime, or -1 if no such number k exists.
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1
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1, 5, 3, 5, 9, 5, 9, 11, 45, 23, 35, 15, 3, 9, 27, 51, 27, 53, 9, 39, 23, 249, 51, 51, 131, 221, 29, 105, 321, 179, 5, 221, 111, 411, 191, 65, 83, 75, 95, 101, 147, 83, 149, 111, 203, 131, 9, 245, 281, 15, 83, 65, 299, 39, 51, 51, 225, 65, 81, 125, 611, 143, 65, 107, 21
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OFFSET
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1,2
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LINKS
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EXAMPLE
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prime(1) = 2 and 1*2^2 + 1 = 5 is prime, and no lesser odd k satisfies this, so a(1) = 1.
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MATHEMATICA
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a[n_] := Module[{m = 2^Prime[n], k = 1}, While[!PrimeQ[k*m + 1], k += 2]; k]; Array[a, 65] (* Amiram Eldar, Mar 15 2023 *)
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PROG
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(PARI) a(n)=my(m=2^prime(n), k=1); while(!isprime(k*m+1), k+=2); k
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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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