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A079011
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a(n)=p is the least prime introducing prime-difference pattern {d,2d}, where d=2n, i.e. {p,p+2n,p+2n+4n}={p,p+2n,p+6n} are consecutive primes.
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4
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5, 397, 503, 1823, 1627, 8317, 5939, 94153, 68539, 83117, 444187, 542299, 428873, 1179649, 955511, 1625027, 2541289, 1290683, 19856363, 12183757, 5412091, 23374859, 27248701, 38235013, 21369059, 34718041, 84118081, 59859131
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| n=3: d=2n=6, d-pattern={6, 12}, a(3)=503, first corresponding prime triple is {503, 509, 521}.
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MATHEMATICA
| d[x_] := Prime[x+1]-Prime[x] t=Table[0, {70}]; Do[s=d[n]; If[(d[n+1]==2*s)&&(s<31)&&(t[[s]]==0), t[[s]]=Prime[n]], {n, 2, 100000}];
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CROSSREFS
| Cf. A079012, A079013.
Sequence in context: A057633 A193126 A006700 * A195502 A189307 A198538
Adjacent sequences: A079008 A079009 A079010 * A079012 A079013 A079014
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jan 21 2003
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