A038801 -id:A038801 - cp's OEIS frontend

A038821 Number of primes less than n*10^12.

37607912018, 73301896139, 108340298703, 142966208126, 177291661649, 211381427039, 245277688804, 279010070811, 312600354108, 346065536839, 379418886337, 412671294782, 445831610611, 478907544860, 511905471132

Offset: 1

Jeff Burch

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
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)
Andrew R. Booker, The Nth Prime Page

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^12 ], {n, 1, 15}]
```

a(n)=primepi(10^12*n) \\ Charles R Greathouse IV, Apr 29 2015

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

A080123 Number of primes less than n*10^14.

Original entry on oeis.org

3204941750802, 6270424651315, 9287441600280, 12273824155491, 15237833654620, 18184255291570, 21116208911023, 24035890368161, 26944926466221, 29844570422669, 32735816605908, 35619471693548

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
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, A038818, A038819, A038820, A038821, A080122, A080124, A080125, A080126, A080127, A080128, A080129.

a(n)=primepi(10^14*n) \\ Charles R Greathouse IV, Apr 29 2015

A080124 Number of primes less than n*10^15.

Original entry on oeis.org

29844570422669, 58478215681891, 86688602810119, 114630988904000, 142377417196364, 169969662554551, 197434994078331, 224792606318600, 252056733453928, 279238341033925, 306346140642929, 333387204489157

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
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, A038818, A038819, A038820, A038821, A080122, A080123, A080125, A080126, A080127, A080128, A080129.

a(n)=primepi(10^15*n) \\ Charles R Greathouse IV, Apr 29 2015

A080125 Number of primes less than n*10^16.

Original entry on oeis.org

279238341033925, 547863431950008, 812760276789503, 1075292778753150, 1336094767763971, 1595534099589274, 1853851099626620, 2111215026220444, 2367751438410550, 2623557157654233, 2878709063250915, 3133269657307298

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..2000
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, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080126, A080127, A080128, A080129.

a(n)=primepi(10^16*n) \\ Charles R Greathouse IV, Apr 29 2015

A080126 Number of primes less than n*10^17.

Original entry on oeis.org

2623557157654233, 5153329362645908, 7650011911220803, 10125681208311322, 12585956566571620, 15034102021263820, 17472251499627256, 19901908567967065, 22324189231374849, 24739954287740860

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..1000
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, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080127, A080128, A080129.

a(n)=primepi(10^17*n) \\ Charles R Greathouse IV, Apr 29 2015

A080127 Number of primes less than n*10^18.

Original entry on oeis.org

24739954287740860, 48645161281738535, 72254704797687083, 95676260903887607, 118959989688273472, 142135049412622144, 165220513980969424, 188229829247429504, 211172979243258278

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..100
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080128, A080129.

a(n)=primepi(10^18*n) \\ Charles R Greathouse IV, Apr 29 2015

A080128 Number of primes less than n*10^19.

Original entry on oeis.org

234057667276344607, 460637655126005490, 684559920583084690, 906790515105576571, 1127779923790184543, 1347790196060095447, 1566992840325479804, 1785508810123564582, 2003427950419417330

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..100
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080129.

a(n)=primepi(10^19*n) \\ Charles R Greathouse IV, Apr 29 2015

A080129 Number of primes less than n*10^20.

Original entry on oeis.org

2220819602560918840, 4374267703076959271, 6503696293016202398, 8617821096373621600, 10720710117789005897, 12814731195053369962, 14901434779964228982, 16981914723713251575, 19056983802675654255, 21127269486018731928

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

Chai Wah Wu, Table of n, a(n) for n = 1..47
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [See local copy in A007053]

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080122, A080123, A080124, A080125, A080126, A080127, A080128, A116356.

a(n)=primepi(10^20*n) \\ Charles R Greathouse IV, Apr 29 2015

a(7)-a(10) from Robert G. Wilson v, Feb 04 2006

A080122 Number of primes less than n*10^13.

Original entry on oeis.org

346065536839, 675895909271, 1000121668853, 1320811971702, 1638923764567, 1955010428258, 2269432871304, 2582444113487, 2894232250783, 3204941750802, 3514687156436, 3823561506566, 4131641836725, 4438993433550, 4745670621117

Offset: 1

Robert G. Wilson v and Jeff Burch, Jan 29 2003

nonn

Robert G. Wilson v, Table of n, a(n) for n = 1..10000
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)
Andrew R. Booker, The Nth Prime Page

Cf. A038801, A028505, A038812, A038813, A038814, A038815, A038816, A038817, A038818, A038819, A038820, A038821, A080123, A080124, A080125, A080126, A080127, A080128, A080129.

Mathematica
```
Table[ PrimePi[ n*10^13 ], {n, 1, 9}]
```

a(n)=primepi(10^13*n) \\ Charles R Greathouse IV, Apr 29 2015

A289500 Number of primes in the interval [9n, 10n].

Original entry on oeis.org

0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 2, 1, 4, 3, 3, 3, 4, 3, 5, 4, 2, 4, 5, 5, 4, 4, 5, 6, 5, 4, 5, 4, 6, 5, 6, 6, 7, 7, 6, 7, 7, 6, 8, 8, 8, 9, 9, 8, 8, 9, 6, 8, 7, 7, 6, 7, 8, 8, 10, 10, 12, 11, 10, 12, 12, 11, 12, 10, 11, 12, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11

Offset: 1

FUNG Cheok Yin, Jul 12 2017

FUNG Cheok Yin, Table of n, a(n) for n = 1..10000

Cf. A035250, A289493, A289494, A289495, A289496, A289497, A289498, A289499.

Cf. A038801.

[0] cat [#PrimesInInterval(9*n, 10*n): n in [2..100]]; // Vincenzo Librandi, Jul 13 2017

seq(numtheory:-pi(10*n)-numtheory:-pi(9*n),n=1..100); # Robert Israel, Jul 12 2017

Join[{0}, Table[PrimePi[10 n] - PrimePi[9 n], {n, 2, 100}]] (* Vincenzo Librandi, Jul 13 2017 *)

a(n) = primepi(10*n) - primepi(9*n); \\ Michel Marcus, Jul 12 2017

a(n) = n/log(n) + (1 + log(3^18/10^10))*n/log(n)^2 + O(n/log(n)^3) as n -> infinity. - Robert Israel, Jul 12 2017

cp's OEIS Frontend

A038821 Number of primes less than n*10^12.

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A080123 Number of primes less than n*10^14.

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A080124 Number of primes less than n*10^15.

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A080125 Number of primes less than n*10^16.

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A080126 Number of primes less than n*10^17.

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A080127 Number of primes less than n*10^18.

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A080128 Number of primes less than n*10^19.

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A080129 Number of primes less than n*10^20.

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PARI

Extensions

A080122 Number of primes less than n*10^13.

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Author

Keywords

Links

Crossrefs

Programs

Mathematica

PARI

A289500 Number of primes in the interval [9n, 10n].

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Author