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Search: id:A052243
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| A052243 |
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Initial prime in set of 4 primes in arithmetic progression with common difference 30. |
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+0
11
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| 642427, 1058861, 3431903, 4176587, 4560121, 4721047, 5072269, 5145403, 5669099, 5893141, 6248969, 6285047, 6503179, 6682969, 8545357, 8776121, 8778739, 9490571, 9836227, 9843019, 9843049, 10023787, 11697979, 12057919, 12340313, 12687119, 12794641, 12845849
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes p such that p, p+30, p+60, p+90 are consecutive primes.
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LINKS
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M. F. Hasler, Table of n, a(n) for n=1,...,200.
Index entries for sequences related to primes in arithmetic progressions
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EXAMPLE
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642427, 642457, 642487, 642517 are consecutive primes.
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MAPLE
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p := 2 : q := 3 : r := 5 : s := 7 : for i from 1 do if q-p = 30 and r-q=30 and s-r=30 then printf("%d, \n", p) ; fi ; p := q ; q := r ; r := s ; s := nextprime(r) ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 12 2008
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PROGRAM
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(PARI code from M. F. Hasler, Apr 12 2008) nextA089220(p, d=[30, 30, 30])={p=[p, 0, 0]; while(p+d!=p=[nextprime(p[1]+1), p[1], p[2]], ); p[3]-d[3]}
p=0; A052243=vector(30, i, p=nextA052243(p+1))
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CROSSREFS
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Analogous sequences [with common difference in square brackets]: A033451 [6], A033447 [12], A033448 [18], A052242 [24], A052243 [30].
Subsequence of A052195.
Sequence in context: A066590 A113951 A089220 this_sequence A102810 A061406 A034628
Adjacent sequences: A052240 A052241 A052242 this_sequence A052244 A052245 A052246
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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), Jan 31 2000
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EXTENSIONS
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More terms from Harvey P. Dale (hpd1(AT)is2.nyu.edu), Nov 19 2000
Edited by njas, Apr 28 2008, at the suggestion of R. J. Mathar.
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