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Search: id:A114262
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| A114262 |
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p(k) is the minimum prime that is greater than Prime[k] and makes Prime[k]+2*p is a prime. |
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+0
6
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| 5, 7, 11, 13, 17, 31, 41, 37, 37, 41, 47, 43, 47, 67, 73, 61, 83, 83, 79, 83, 89, 97, 97, 107, 103, 107, 151, 137, 127, 131, 139, 151, 191, 157, 179, 167, 173, 223, 199, 181, 191, 193, 197, 211, 227, 233, 227, 241, 257, 277, 307, 251, 313, 277, 283, 271, 293, 281
(list; graph; listen)
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OFFSET
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2,1
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EXAMPLE
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k=2: Prime[2]=3; 3+2*5=13 is prime, so p(2)=5;
k=3: Prime[3]=5; 5+2*7=19 is prime, so p(3)=7;
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k=7: Prime[7]=17; 17+2*19=55 is not prime
17+2*23=63 is not prime
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17+2*31=79 is prime, so p(7)=31;
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MATHEMATICA
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Table[p1 = Prime[n1]; n2 = 1; p2 = Prime[n1 + n2]; While[cp = p1 + 2* p2; ! PrimeQ[cp], n2++; p2 = Prime[n1 + n2]]; p2, {n1, 2, 201}]
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CROSSREFS
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Cf. A114227, A114230, A073703, A114235.
Sequence in context: A038958 A109416 A106309 this_sequence A007529 A108409 A039681
Adjacent sequences: A114259 A114260 A114261 this_sequence A114263 A114264 A114265
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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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