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A054800
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First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).
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44
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251, 1741, 3301, 5101, 5381, 6311, 6361, 12641, 13451, 14741, 15791, 15901, 17471, 18211, 19471, 23321, 26171, 30091, 30631, 53611, 56081, 62201, 63691, 71341, 74453, 75521, 76543, 77551, 78791, 80911, 82781, 83431, 84431, 89101, 89381
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OFFSET
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1,1
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COMMENTS
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This sequence is infinite if Dickson's conjecture holds. [Charles R Greathouse IV, Apr 23, 2011]
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LINKS
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Zak Seidov and Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 (first 4000 terms from Seidov)
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EXAMPLE
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a(1)=251=prime(54)=A000040(54) and prime(55)-prime(54)=prime(56)-prime(55)=6.[Zak Seidov, Apr 23 2011]
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PROG
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(PARI) p=2; q=3; r=5; forprime(s=7, 1e4, t=s-r; if(t==r-q&&t==q-p, print1(p", ")); p=q; q=r; r=s) \\ Charles R Greathouse IV, Feb 14 2013
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CROSSREFS
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Cf. A006562, A054801-A054840.
Sequence in context: A185941 A215607 A099734 * A033451 A201793 A183840
Adjacent sequences: A054797 A054798 A054799 * A054801 A054802 A054803
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KEYWORD
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nonn,changed
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AUTHOR
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Henry Bottomley, Apr 10 2000
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STATUS
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approved
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