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Search: id:A114230
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| A114230 |
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n(k) is the largest prime that is smaller than Prime[k] and makes Prime[k]+2*n[k] a prime. |
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+0
11
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| 2, 3, 5, 3, 5, 13, 17, 19, 19, 29, 23, 31, 29, 31, 43, 19, 59, 53, 61, 59, 59, 79, 67, 83, 61, 89, 103, 101, 109, 113, 109, 97, 131, 109, 149, 137, 149, 127, 163, 139, 149, 109, 149, 163, 197, 191, 197, 223, 227, 229, 211, 239, 241, 241, 223, 241, 269, 233, 271, 269
(list; graph; listen)
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OFFSET
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2,1
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EXAMPLE
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Prime[2]=3, 3+2*2=7 is prime, so n[2]=2;
Prime[3]=5, 5+2*3=11 is prime, so n[3]=3;
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Prime[11]=31, 31+2*29=89 is prime, so n[11]=29;
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MATHEMATICA
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Table[p1 = Prime[n1]; n2 = n1 - 1; p2 = Prime[n2]; While[cp = p1 + 2*p2; ! PrimeQ[cp], n2--; If[n2 == 0, Print[n1]]; p2 = Prime[n2]]; p2, {n1, 2, 201}]
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CROSSREFS
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Cf. A114227.
Sequence in context: A073684 A083776 A122820 this_sequence A103781 A095244 A108396
Adjacent sequences: A114227 A114228 A114229 this_sequence A114231 A114232 A114233
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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 18 2005
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