A080128 -id:A080128 - cp's OEIS frontend

A028505 Number of primes <= 100*n.

25, 46, 62, 78, 95, 109, 125, 139, 154, 168, 184, 196, 211, 222, 239, 251, 266, 278, 290, 303, 317, 327, 342, 357, 367, 378, 393, 407, 419, 430, 442, 452, 463, 478, 489, 503, 516, 528, 539, 550, 565, 574, 590, 599, 610, 622, 634, 646, 654, 669, 681, 692, 702

Offset: 1

Chris Cole (chris(AT)questrel.com)

nonn

Fred W. Helenius (fredh(AT)ix.netcom.com), posting to newsgroup rec.puzzles, Dec. 1997.

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
J. Betrema, Table et repartition des nombres premiers inferieurs a 10000
A. Booker, The Nth Prime Page
Thomas Ehrenborg, Gauss Circle Primes, arXiv:2502.06804 [math.GM], 2025. See Table 2 p. 4.
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A000720, A038801, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

for n:1 through 50 do print(prime_pi(100*n));

Table[ PrimePi[ n*100 ], {n, 55}] (* Robert G. Wilson v, Jan 29 2003 *)

a(n)=primepi(100*n) \\ Charles R Greathouse IV, Apr 28 2015

A038801 Number of primes less than 10n.

Original entry on oeis.org

4, 8, 10, 12, 15, 17, 19, 22, 24, 25, 29, 30, 31, 34, 35, 37, 39, 41, 42, 46, 46, 47, 50, 52, 53, 55, 57, 59, 61, 62, 63, 66, 66, 68, 70, 72, 73, 75, 77, 78, 80, 81, 82, 85, 87, 88, 91, 92, 93, 95, 97, 97, 99, 99, 101, 102, 104, 106, 107, 109, 111, 114, 114, 115, 118, 120

Offset: 1

Jeff Burch

nonn

For almost all n, that is for a set of density 1, a(n) = a(n-1), and in all cases a(n) <= a(n-1) + 4. - Charles R Greathouse IV, Aug 27 2014

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Table[ PrimePi[ n*10 ], {n, 1, 66}] (* Robert G. Wilson v *)

a(n)=primepi(10*n) \\ Charles R Greathouse IV, Aug 27 2014

Edited and corrected by Robert G. Wilson v, Jan 29 2003

A038812 Number of primes less than 1000n.

Original entry on oeis.org

168, 303, 430, 550, 669, 783, 900, 1007, 1117, 1229, 1335, 1438, 1547, 1652, 1754, 1862, 1960, 2064, 2158, 2262, 2360, 2464, 2564, 2668, 2762, 2860, 2961, 3055, 3153, 3245, 3340, 3432, 3538, 3638, 3732, 3824, 3923, 4017, 4107, 4203, 4291, 4392, 4494

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A038801, A028505, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*1000 ], {n, 1, 45}]
```

a(n)=primepi(1000*n) \\ Charles R Greathouse IV, Apr 29 2015

Edited and extended by Robert G. Wilson v, Jan 29 2003

A038813 Number of primes less than 10000n.

Original entry on oeis.org

1229, 2262, 3245, 4203, 5133, 6057, 6935, 7837, 8713, 9592, 10453, 11301, 12159, 13010, 13848, 14683, 15497, 16342, 17170, 17984, 18807, 19618, 20437, 21221, 22044, 22837, 23642, 24432, 25224, 25997, 26800, 27608, 28404, 29182, 29977

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A038801, A028505, A038812, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^4 ], {n, 1, 30}]
```

a(n)=primepi(10000*n) \\ Charles R Greathouse IV, Apr 29 2015

Edited and extended by Robert G. Wilson v, Jan 29 2003

A038814 Number of primes less than 100000n.

Original entry on oeis.org

9592, 17984, 25997, 33860, 41538, 49098, 56543, 63951, 71274, 78498, 85714, 92938, 100021, 107126, 114155, 121127, 128141, 135072, 142029, 148933, 155805, 162662, 169511, 176302, 183072, 189880, 196645, 203362, 210109, 216816, 223492, 230209

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A038801, A028505, A038812, A038813, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^5 ], {n, 1, 30}]
```

a(n)=primepi(10^5*n) \\ Charles R Greathouse IV, Apr 29 2015

Edited and extended by Robert G. Wilson v, Jan 29 2003

A038815 Number of primes less than n*10^6.

Original entry on oeis.org

78498, 148933, 216816, 283146, 348513, 412849, 476648, 539777, 602489, 664579, 726517, 788060, 849252, 910077, 970704, 1031130, 1091314, 1151367, 1211050, 1270607, 1329943, 1389261, 1448221, 1507122, 1565927, 1624527, 1683065

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A038801, A028505, A038812, A038813, A038814, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^6 ], {n, 1, 30}]
```

a(n)=primepi(10^6*n) \\ Charles R Greathouse IV, Apr 29 2015

Edited and extended by Robert G. Wilson v, Jan 29 2003

A038816 Number of primes less than n*10^7.

Original entry on oeis.org

664579, 1270607, 1857859, 2433654, 3001134, 3562115, 4118064, 4669382, 5216954, 5761455, 6303309, 6841648, 7378187, 7912199, 8444396, 8974458, 9503083, 10030385, 10555473, 11078937, 11601626, 12122540, 12642573

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^7 ], {n, 1, 30} ]
```

a(n)=primepi(10^7*n) \\ Charles R Greathouse IV, Apr 29 2015

More terms from Robert G. Wilson v, Aug 27 2001

Edited and extended by Robert G. Wilson v, Jan 29 2003

A038817 Number of primes less than n*10^8.

Original entry on oeis.org

5761455, 11078937, 16252325, 21336326, 26355867, 31324703, 36252931, 41146179, 46009215, 50847534, 55662470, 60454705, 65228333, 69985473, 74726528, 79451833, 84163019, 88862422, 93547928, 98222287, 102886526, 107540122

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^8 ], {n, 1, 22}]
```

a(n)=primepi(10^8*n) \\ Charles R Greathouse IV, Apr 29 2015

Edited and extended by Robert G. Wilson v, Jan 29 2003

A038818 Number of primes less than n*10^9.

Original entry on oeis.org

50847534, 98222287, 144449537, 189961812, 234954223, 279545368, 323804352, 367783654, 411523195, 455052511, 498388617, 541555851, 584570200, 627440336, 670180516, 712799821, 755305935, 797703398, 840000027, 882206716, 924324489

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Andrew R. Booker, The Nth Prime Page
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^9 ], {n, 1, 22}]
```

a(n)=primepi(10^9*n) \\ Charles R Greathouse IV, Apr 29 2015

Edited and extended by Robert G. Wilson v, Jan 29 2003

A038819 Number of primes less than n*10^10.

Original entry on oeis.org

455052511, 882206716, 1300005926, 1711955433, 2119654578, 2524038155, 2925699539, 3325059246, 3722428991, 4118054813, 4512105232, 4904759399, 5296138250, 5686326158, 6075437956, 6463533937, 6850690633, 7236978160

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Tomás Oliveira e Silva, Tables of values of pi(x) and of pi2(x)
Andrew R. Booker, The Nth Prime Page

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^10 ], {n, 1, 18}]
```

a(n)=primepi(10^10*n) \\ Charles R Greathouse IV, Apr 29 2015

Edited and extended by Robert G. Wilson v, Jan 29 2003

cp's OEIS Frontend

A028505 Number of primes <= 100*n.

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A038801 Number of primes less than 10n.

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PARI

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A038812 Number of primes less than 1000n.

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Mathematica

PARI

Extensions

A038813 Number of primes less than 10000n.

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Mathematica

PARI

Extensions

A038814 Number of primes less than 100000n.

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Mathematica

PARI

Extensions

A038815 Number of primes less than n*10^6.

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Mathematica

PARI

Extensions

A038816 Number of primes less than n*10^7.

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Author

Keywords

Links

Crossrefs

Programs

Mathematica

PARI

Extensions

A038817 Number of primes less than n*10^8.

Views

Author

Keywords

Links

Crossrefs

Programs