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A038822
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Number of primes between 100n and 100n+99.
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31
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25, 21, 16, 16, 17, 14, 16, 14, 15, 14, 16, 12, 15, 11, 17, 12, 15, 12, 12, 13, 14, 10, 15, 15, 10, 11, 15, 14, 12, 11, 12, 10, 11, 15, 11, 14, 13, 12, 11, 11, 15, 9, 16, 9, 11, 12, 12, 12, 8, 15, 12, 11, 10, 10, 13, 13, 12, 10, 16, 7, 12, 11, 13, 15, 8, 11, 10, 12, 12, 13, 9, 10
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OFFSET
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0,1
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COMMENTS
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The number k first occurs in century A186311(k).
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REFERENCES
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George P. Loweke, The Lore of Prime Numbers. New York: Vantage Press (1982): 91.
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LINKS
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FORMULA
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EXAMPLE
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a(3) = 16 because there are 16 primes between 300 and 399 (namely, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397).
a(4) = 17 because there are 17 primes between 400 and 499 (401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499).
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MAPLE
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MATHEMATICA
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Table[PrimePi[100n + 99] - PrimePi[100n], {n, 0, 71}]
Differences[PrimePi[100 Range[0, 100]]] (* Harvey P. Dale, Feb 18 2021 *)
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PROG
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CROSSREFS
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Cf. A181098 (centuries without primes).
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KEYWORD
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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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