cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 12 results. Next

A157082 Primes in a millennium reach a record minimum: numbers n such that A038823(n) is lower than all A038823(k) with k

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 7, 10, 11, 14, 16, 18, 29, 38, 40, 43, 64, 88, 168, 180, 212, 293, 356, 452, 555, 638, 871, 913, 1637, 2346, 3279, 7176, 14420, 15369, 36912, 51459, 96733, 113376, 141219, 200315, 233047, 729345, 951847, 1704275, 1917281, 2326985
Offset: 1

Views

Author

Martin Raab, Feb 22 2009

Keywords

Comments

88 is in the sequence because there are 76 primes between 88000 and 88999 and every millennium < 88000 contains more than 76 primes.
The last term of this sequence is 13893290219204, because there are no primes between 13893290219204000 and 13893290219204999.

Links

Crossrefs

Cf. A038823.

A038824 Number of primes between n*10000 and (n+1)*10000.

Original entry on oeis.org

1229, 1033, 983, 958, 930, 924, 878, 902, 876, 879, 861, 848, 858, 851, 838, 835, 814, 845, 828, 814, 823, 811, 819, 784, 823, 793, 805, 790, 792, 773, 803, 808, 796, 778, 795, 780, 765, 778, 767, 793, 754, 776, 772, 779, 765, 752, 765, 782, 761, 772, 753
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038825, A038826, A038827, A038828, A038829, A038830, A038831, A038832, A080132.

Programs

  • Mathematica
    Table[PrimePi[(n+1)*10^4] - PrimePi[n*10^4], {n, 0, 50}]
Differences[PrimePi[10000*Range[0,51]]] (* Harvey P. Dale, Oct 21 2024 *)

Extensions

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

A038825 Number of primes between n*100000 and (n+1)*100000.

Original entry on oeis.org

9592, 8392, 8013, 7863, 7678, 7560, 7445, 7408, 7323, 7224, 7216, 7224, 7083, 7105, 7029, 6972, 7014, 6931, 6957, 6904, 6872, 6857, 6849, 6791, 6770, 6808, 6765, 6717, 6747, 6707, 6676, 6717, 6691, 6639, 6611, 6576, 6671, 6590, 6624, 6535, 6628, 6540
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038824, A038826, A038827, A038828, A038829, A038830, A038831, A038832, A080132.

Programs

  • Mathematica
    Table[PrimePi[(n+1)*10^5] - PrimePi[n*10^5], {n, 0, 41}]
#[[2]]-#[[1]]&/@Partition[PrimePi[Range[0,50]10^5],2,1] (* Harvey P. Dale, Mar 23 2017 *)

Extensions

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

A038826 Number of primes between n*10^6 and (n+1)*10^6.

Original entry on oeis.org

78498, 70435, 67883, 66330, 65367, 64336, 63799, 63129, 62712, 62090, 61938, 61543, 61192, 60825, 60627, 60426, 60184, 60053, 59683, 59557, 59336, 59318, 58960, 58901, 58805, 58600, 58538, 58365, 58246, 58183, 58120, 57836, 57852
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038824, A038825, A038827, A038828, A038829, A038830, A038831, A038832, A080132.

Programs

  • Mathematica
    Table[PrimePi[(n+1)*10^6] - PrimePi[n*10^6], {n, 0, 32}]

Extensions

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

A038827 Number of primes between n*10^7 and (n+1)*10^7.

Original entry on oeis.org

664579, 606028, 587252, 575795, 567480, 560981, 555949, 551318, 547572, 544501, 541854, 538339, 536539, 534012, 532197, 530062, 528625, 527302, 525088, 523464, 522689, 520914, 520033, 518971, 517774, 516542, 515524, 514685, 513594, 512662
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038824, A038825, A038826, A038828, A038829, A038830, A038831, A038832, A080132.

Programs

  • Mathematica
    Table[ PrimePi[ (n + 1)*10^7 ] - PrimePi[ n*10^7 ], {n, 0, 40} ]

Extensions

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

A038828 Number of primes between n*10^8 and (n+1)*10^8.

Original entry on oeis.org

5761455, 5317482, 5173388, 5084001, 5019541, 4968836, 4928228, 4893248, 4863036, 4838319, 4814936, 4792235, 4773628, 4757140, 4741055, 4725305, 4711186, 4699403, 4685506, 4674359, 4664239, 4653596, 4644818, 4633507, 4624924, 4618796, 4608025, 4600066, 4593753
Offset: 0

Views

Author

Jeff Burch

Keywords

Comments

Because the density of primes generally decreases as the range increases, the terms of the sequence generally are in decreasing order. - Harvey P. Dale, May 10 2025

Links

Crossrefs

Cf. A038823, A038824, A038825, A038826, A038827, A038829, A038830, A038831, A038832, A080132.

Programs

  • Mathematica
    Table[ PrimePi[(n+1)*10^8] - PrimePi[n*10^8], {n, 0, 23}]
Differences[PrimePi[10^8 Range[0,30]]] (* Harvey P. Dale, May 10 2025 *)

Extensions

Edited and extended by Robert G. Wilson v, Jan 29 2003
More terms from Jon E. Schoenfield, Mar 21 2021

A038829 Number of primes between n*10^9 and (n+1)*10^9.

Original entry on oeis.org

50847534, 47374753, 46227250, 45512275, 44992411, 44591145, 44258984, 43979302, 43739541, 43529316, 43336106, 43167234, 43014349, 42870136, 42740180, 42619305, 42506114, 42397463, 42296629, 42206689, 42117773, 42033862, 41951193, 41876823, 41801038, 41730415, 41667335
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038824, A038825, A038826, A038827, A038828, A038830, A038831, A038832, A080132.

Programs

  • Mathematica
    Table[ PrimePi[(n+1)*10^9] - PrimePi[n*10^9], {n, 0, 20}]

Extensions

Edited and extended by Robert G. Wilson v, Jan 29 2003
a(21)-a(26) from Amiram Eldar, Jun 14 2024

A038830 Number of primes between n*10^10 and (n+1)*10^10.

Original entry on oeis.org

455052511, 427154205, 417799210, 411949507, 407699145, 404383577, 401661384, 399359707, 397369745, 395625822, 394050419, 392654167, 391378851, 390187908, 389111798, 388095981, 387156696, 386287527, 385446999, 384679900, 383929532, 383230773, 382562467, 381941653
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038824, A038825, A038826, A038827, A038828, A038829, A038831, A038832, A080132.

Programs

  • Mathematica
    Table[ PrimePi[(n+1)*10^10] - PrimePi[n*10^10], {n, 0, 20}]

Extensions

Edited and extended by Robert G. Wilson v, Jan 29 2003
a(21)-a(23) from Amiram Eldar, Jun 14 2024

A038831 Number of primes between n*10^11 and (n+1)*10^11.

Original entry on oeis.org

4118054813, 3889050246, 3811334076, 3762566522, 3727130485, 3699365644, 3676572524, 3657309217, 3640604059, 3625924432, 3612791400, 3600947714, 3590161711, 3580266494, 3571130592, 3562622357, 3554715520, 3547310538, 3540307017, 3533730778, 3527508038, 3521536373
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038824, A038825, A038826, A038827, A038828, A038829, A038830, A038832, A080132.

Programs

  • Mathematica
    Table[ PrimePi[(n+1)*10^11] - PrimePi[n*10^11], {n, 0, 17}]

Extensions

Edited and extended by Robert G. Wilson v, Jan 29 2003
a(18)-a(21) from Amiram Eldar, Jun 14 2024

A038832 Number of primes between n*10^12 and (n+1)*10^12.

Original entry on oeis.org

37607912018, 35693984121, 35038402564, 34625909423, 34325453523, 34089765390, 33896261765, 33732382007, 33590283297, 33465182731, 33353349498, 33252408445, 33160315829, 33075934249, 32997926272, 32925345549, 32857801337, 32794327530, 32734665500, 32678298223
Offset: 0

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A038823, A038824, A038825, A038826, A038827, A038828, A038829, A038830, A038831, A080132.

Programs

  • Mathematica
    Table[ PrimePi[(n+1)*10^12] - PrimePi[n*10^12], {n, 0, 17}]

Extensions

Edited, corrected and extended by Robert G. Wilson v, Jan 29 2003
a(15)-a(19) from Amiram Eldar, Jun 14 2024
Showing 1-10 of 12 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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