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a071973 -id:a071973
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A061274
Number of primes between Pi^(n-1) and Pi^n.
+10
4
2, 2, 7, 14, 37, 100, 271, 742, 2054, 5813, 16507, 47501, 137306, 399685, 1169789, 3438915, 10153559, 30083443, 89426830, 266598341, 796863253, 2387439540, 7168302094, 21565117858, 64993345011, 196202749033, 593205591259, 1796057856430, 5445108651668, 16528162238845
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LINKS
Amiram Eldar,
Table of n, a(n) for n = 1..52
(calculated from the b-file at
A071973
)
FORMULA
a(n) =
A071973
(n) -
A071973
(n-1). -
Amiram Eldar
, Jun 14 2024
CROSSREFS
Cf.
A061273
,
A071973
.
A137382
Number of primes between Pi^(prime(n)) and Pi^(prime(n+1)).
+10
0
7, 51, 371, 25116, 184807, 15161948, 119510273, 10619203228, 8117133311259, 66755371425339, 59943578764218680, 5202903726035784628, 44211655386352360485, 4351545315671679793432
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FORMULA
a(n) =
A071973
(prime(n+1)) -
A071973
(prime(n)). -
Amiram Eldar
, Jun 14 2024
CROSSREFS
Cf.
A000796
,
A061274
,
A071973
.
EXTENSIONS
a(9)-a(14) calculated from the data at
A071973
and added by
Amiram Eldar
, Jun 14 2024
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