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Search: id:A052359
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| A052359 |
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First prime of A031938 (lesser of primes differing by 20) so that its distance to the next 20-twin increases. |
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+0
2
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| 46703, 37223, 65147, 20369, 63929, 71999, 11597, 11027, 99767, 93503, 5903, 14087, 115163, 24821, 104891, 24923, 11867, 53381, 65657, 93581, 99623, 11447, 18461, 126761, 32213, 27653, 72797, 5717, 154247, 54449, 27827, 10223, 56747, 18617
(list; graph; listen)
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OFFSET
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4,1
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COMMENT
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1. the smallest distance between 20-twins is 24 [= A052380(10)], while its minimal increment is 6.
2. a(n)=p starts [p,p+20,p+6n+18,p+6n+38] and [20,6n-2,20] patterns of primes and their difference.
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FORMULA
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a(n)=p is the smallest prime which starts a [p, p+20] twin followed by the next [p+6n+18, p+6n+18+20] twin.
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EXAMPLE
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1. n=1, a(1)=46703 results in [46703,46723,46727,46747] or [20,4,20];
2. n=11 a(11)=5903 yields [5903,5923,5987,6007] or [20,64,20] with 4 primes in the medial gap.
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CROSSREFS
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Cf. A031938, A053331, A053280, A053281.
Adjacent sequences: A052356 A052357 A052358 this_sequence A052360 A052361 A052362
Sequence in context: A017598 A143163 A132642 this_sequence A066359 A109030 A093223
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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), Mar 07 2000
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