

A115061


a(n) is the number of occurrences of the nth prime number in A051697.


3



3, 2, 2, 3, 3, 3, 3, 3, 5, 4, 4, 5, 3, 3, 5, 6, 4, 4, 5, 3, 4, 5, 5, 7, 6, 3, 3, 3, 3, 9, 9, 5, 4, 6, 6, 4, 6, 5, 5, 6, 4, 6, 6, 3, 3, 7, 12, 8, 3, 3, 5, 4, 6, 8, 6, 6, 4, 4, 5, 3, 6, 12, 9, 3, 3, 9, 10, 8, 6, 3, 5, 7, 7, 6, 5, 5, 7, 6, 6
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OFFSET

1,1


COMMENTS

Except for the second entry, the sequence also holds with respect to A077018.


LINKS



FORMULA



EXAMPLE

The 5th prime number, 11, appears three times in A051697. Therefore a(5) = 3.


MATHEMATICA

a = {3}; For[n = 2, n < 100, n++, c = 0; For[j = Prime[n  1], j < Prime[n + 1], j++, If[j < Prime[n], If[Prime[n]  j < j  Prime[n  1], c++ ], If[Not[Prime[n + 1]  j < j  Prime[n]], c++ ]]]; AppendTo[a, c]]; a


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



EXTENSIONS



STATUS

approved



