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Search: id:A114265
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| A114265 |
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p(k) is the minimum prime that is greater than Prime[k] and makes 2*Prime[k]+p a prime. |
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3
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| 3, 5, 7, 17, 19, 17, 19, 23, 37, 31, 41, 53, 67, 53, 73, 61, 61, 71, 89, 97, 83, 83, 97, 103, 113, 109, 107, 139, 113, 127, 167, 139, 157, 179, 151, 197, 173, 173, 223, 211, 199, 239, 211, 227, 199, 233, 239, 227, 229, 233, 277, 241, 251, 271, 283, 271, 271, 281
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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k=1: 2*Prime[1]+3=2*2+3=7 is prime, so p(1)=3;
k=2: 2*Prime[2]+5=2*3+5=11 is prime, so p(2)=5;
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k=4: 2*Prime[4]+3=2*7+3=7 is prime, so p(1)=3;
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MATHEMATICA
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Table[p1 = Prime[n1]; n2 = 1; p2 = Prime[n1 + n2]; While[cp = 2*p1 + p2; ! PrimeQ[cp], n2++; p2 = Prime[n1 + n2]]; p2, {n1, 1, 200}]
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CROSSREFS
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Cf. A114227, A114230, A073703, A114235, A114262.
Sequence in context: A112092 A031441 A078150 this_sequence A110358 A038971 A045400
Adjacent sequences: A114262 A114263 A114264 this_sequence A114266 A114267 A114268
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KEYWORD
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easy,nonn
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AUTHOR
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Lei Zhou (lzhou5(AT)emory.edu), Nov 20 2005
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