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Search: id:A096474
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| A096474 |
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Difference Prime[q+2] - Prime[q] as q runs through the lesser-twin-primes. |
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+0 3
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| 6, 6, 10, 8, 18, 12, 6, 14, 16, 12, 24, 18, 24, 18, 16, 14, 24, 18, 24, 18, 10, 12, 18, 40, 28, 20, 24, 18, 28, 10, 12, 12, 8, 8, 22, 16, 12, 12, 14, 14, 26, 36, 24, 30, 24, 8, 18, 30, 12, 22, 22, 16, 18, 24, 10, 14, 18, 14, 10, 20, 10, 32, 32, 12, 10, 44, 30, 18, 16, 36, 14, 12
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a[n]=prime[A0021359(n+1)]-prime[A001359(n)]
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EXAMPLE
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{q, q+2}={17, 19} is the 4th twin-pair and p[19]-p[17]=67-59=8, so a[4]=8.
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MATHEMATICA
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{ta=Table[0, {1300}], tb=Table[0, {1300}], tc=Table[0, {1300}], u=1}; Do[s=Prime[n+1]-Prime[n]; If[Equal[s, 2], ta[[u]]=Prime[Prime[n+1]]-Prime[Prime[n]]; tb[[u]]=n; tc[[u]]=Prime[n]; u=u+1], {n, 1, 10000}]; ta
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CROSSREFS
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Cf. A001359.
Sequence in context: A155880 A021603 A065480 this_sequence A122762 A046605 A095899
Adjacent sequences: A096471 A096472 A096473 this_sequence A096475 A096476 A096477
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 23 2004
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