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Search: id:A007811
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| A007811 |
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Numbers n for which 10n+1, 10n+3, 10n+7 and 10n+9 are primes. |
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+0
12
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| 1, 10, 19, 82, 148, 187, 208, 325, 346, 565, 943, 1300, 1564, 1573, 1606, 1804, 1891, 1942, 2101, 2227, 2530, 3172, 3484, 4378, 5134, 5533, 6298, 6721, 6949, 7222, 7726, 7969, 8104, 8272, 8881, 9784, 9913
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Charles Greathouse, Table of n, a(n) for n = 1..10000
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FORMULA
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A007811(n)=3*A014561(n)+1. [From Zak Seidov (zakseidov(AT)yahoo.com), Sep 21 2009]
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MAPLE
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for n from 1 to 10000 do m := 10*n: if isprime(m+1) and isprime(m+3) and isprime(m+7) and isprime(m+9) then print(n); fi: od: quit
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MATHEMATICA
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Select[ Range[ 1, 10000, 3 ], PrimeQ[ 10*#+1 ] && PrimeQ[ 10*#+3 ] && PrimeQ[ 10*#+7 ] && PrimeQ[ 10*#+9 ]& ]
Select[Range[15000], And @@ PrimeQ /@ ({1, 3, 7, 9} + 10#) &] (*Chandler*)
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CROSSREFS
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Cf. A024912, A102338, A102342, A102700.
Sequence in context: A023109 A033866 A146091 this_sequence A166706 A131495 A060630
Adjacent sequences: A007808 A007809 A007810 this_sequence A007812 A007813 A007814
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)
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