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Search: id:A006560
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| A006560 |
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Smallest starting prime for n consecutive primes in arithmetic progression.
(Formerly M0927)
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+0
8
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OFFSET
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1,1
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COMMENT
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The primes following a(5) and a(6) occur at a(n)+30*k, k=0..(n-1). a(6) was found by Lander and Parkin. The next term requires a spacing >=210. The expected size is a(7)>10^21 (see link). - Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 25 2004
Starting (1, 20, 84, 220,...) = binomial transform of (1, 19, 45, 27, 0, 0, 0,...).
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REFERENCES
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L. J. Lander and T. R. Parkin, Consecutive Primes in Arithmetic Progression. Math. Comput. 21, 489, 1967.
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LINKS
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Index entries for sequences related to primes in arithmetic progressions
Jens Kruse Andersen, The smallest known CPAP-k.
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FORMULA
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More terms from Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 22 2008
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EXAMPLE
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a(4)=251: 251,257,263,269 is the first occurrence of 4 consecutive primes in arithmetic progression.
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CROSSREFS
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Cf. A005115, A093364, A126989.
Adjacent sequences: A006557 A006558 A006559 this_sequence A006561 A006562 A006563
Sequence in context: A083113 A027498 A094877 this_sequence A088251 A127528 A063070
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KEYWORD
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nonn,hard,new
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AUTHOR
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njas
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