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A163074
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Swinging primes: primes which are within 1 of a swinging factorial (A056040).
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4
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2, 3, 5, 7, 19, 29, 31, 71, 139, 251, 631, 3433, 12011, 48619, 51479, 51481, 2704157, 155117519, 280816201, 4808643121, 35345263801, 81676217699, 1378465288199, 2104098963721, 5651707681619, 94684453367401
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OFFSET
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1,1
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COMMENTS
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Union of A163075 and A163076.
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REFERENCES
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Peter Luschny, "Divide, swing and conquer the factorial and the lcm{1,2,...,n}", preprint, April 2008.
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LINKS
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Table of n, a(n) for n=1..26.
Peter Luschny, Swinging Primes.
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EXAMPLE
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3$ + 1 = 7 is prime, so 7 is in the sequence. (Here '$' denotes the swinging factorial function.)
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MAPLE
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# Seq with arguments <= n:
a := proc(n) select(isprime, map(x -> A056040(x)+1, [$1..n]));
select(isprime, map(x -> A056040(x)-1, [$1..n]));
sort(convert(convert(%%, set) union convert(%, set), list)) end:
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CROSSREFS
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Cf. A088054, A163075, A163076.
Sequence in context: A153590 A025019 A140327 * A068803 A184902 A048419
Adjacent sequences: A163071 A163072 A163073 * A163075 A163076 A163077
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KEYWORD
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nonn
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AUTHOR
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Peter Luschny, Jul 21 2009
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STATUS
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approved
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