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A100820
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Number of odd numbers between prime(n) and prime(n+1).
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2
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0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 3, 1, 0, 1, 0, 1, 6, 1, 2, 0, 4, 0, 2, 2, 1, 2, 2, 0, 4, 0, 1, 0, 5, 5, 1, 0, 1, 2, 0, 4, 2, 2, 2, 0, 2, 1, 0, 4, 6, 1, 0, 1, 6, 2, 4, 0, 1, 2, 3, 2, 2, 1, 2, 3, 1, 3, 4, 0, 4, 0, 2, 1, 2, 3, 1, 0, 1, 5, 3, 1, 3, 1, 2, 5, 0, 8, 2, 4, 2, 2, 0, 2
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OFFSET
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1,9
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LINKS
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FORMULA
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EXAMPLE
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a(2)=0 because between 3 and 5 there are no odd numbers.
a(3)=0 because between 5 and 7 there are no odd numbers.
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MAPLE
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P:= select(isprime, [seq(i, i=3..1000, 2)]):
0, op(map(`-`, 1/2*(P[2..-1]-P[1..-2]), 1)); # Robert Israel, Jun 01 2016
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MATHEMATICA
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Table[Floor[Max[(Prime[n + 1] - Prime[n])/2 - 1, 0] ], {n, 120}] (* Ray Chandler, Jan 09 2005 *)
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PROG
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(Magma) [0] cat [(NthPrime(n+1)-NthPrime(n))/2-1 : n in [2..100]]; // Wesley Ivan Hurt, Jun 01 2016
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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