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.

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A031340 a(n) = prime(7*n).

Original entry on oeis.org

17, 43, 73, 107, 149, 181, 227, 263, 307, 349, 389, 433, 467, 521, 571, 613, 653, 701, 751, 809, 853, 887, 947, 997, 1039, 1091, 1129, 1193, 1237, 1291, 1327, 1423, 1453, 1493, 1553, 1601, 1637, 1699, 1753, 1811, 1873, 1931, 1993
Offset: 1

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Author

Keywords

Crossrefs

Cf. similar sequences listed in A031336.

Programs

A031341 a(n) = prime(8*n).

Original entry on oeis.org

19, 53, 89, 131, 173, 223, 263, 311, 359, 409, 457, 503, 569, 613, 659, 719, 769, 827, 881, 941, 997, 1049, 1097, 1163, 1223, 1283, 1321, 1423, 1459, 1511, 1571, 1619, 1693, 1747, 1811, 1877, 1949, 2003, 2069, 2129, 2203, 2267, 2311, 2377, 2423, 2503
Offset: 1

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Author

Keywords

Crossrefs

Cf. similar sequences listed in A031336.

Programs

Extensions

More terms from Stefan Steinerberger, Apr 20 2006

A031342 a(n) = prime(9*n).

Original entry on oeis.org

23, 61, 103, 151, 197, 251, 307, 359, 419, 463, 523, 593, 643, 701, 761, 827, 883, 953, 1019, 1069, 1129, 1213, 1279, 1321, 1427, 1481, 1543, 1601, 1663, 1733, 1801, 1877, 1951, 2017, 2087, 2143, 2239, 2297, 2371, 2423, 2521, 2593
Offset: 1

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Author

Keywords

Crossrefs

Cf. similar sequences listed in A031336.

Programs

A112303 Permutation of primes generated by 3-rowed array shown below.

Original entry on oeis.org

2, 7, 3, 17, 11, 5, 29, 19, 13, 41, 31, 23, 53, 43, 37, 67, 59, 47, 79, 71, 61, 97, 83, 73, 107, 101, 89, 127, 109, 103, 139, 139, 131, 113, 157, 149, 137, 173, 163, 151, 191, 179, 167, 193, 181, 227, 211, 197, 239, 229, 223, 257, 263, 251
Offset: 1

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Author

Giovanni Teofilatto, Oct 17 2006, Nov 08 2006

Keywords

Comments

2 7 17 29 41 53 67 79...(A031377)
3 11 19 31 43 59 71 83...(A031369)
5 13 23 37 47 61 73 89...(A031336)

Crossrefs

Cf. A115302.

Formula

a(n) = A000040(a(p+3q) = a(p)+3q) with p and q positive integers.
a(n) = PrimePi(a(p+3q) = a(p)+3q) with p and q positive integers.

A275988 a(n) = prime(3n) - prime(n).

Original entry on oeis.org

3, 10, 18, 30, 36, 48, 56, 70, 80, 84, 106, 114, 126, 138, 150, 170, 174, 190, 202, 210, 234, 238, 264, 270, 282, 296, 316, 326, 340, 350, 360, 372, 386, 418, 422, 442, 450, 456, 476, 486, 498, 520, 536, 550, 564, 588, 600, 604, 626, 634, 650, 672, 696, 702, 720, 734, 750, 762, 774
Offset: 1

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Author

Terry D. Grant, Aug 15 2016

Keywords

Examples

			For n=3, prime(3n) = 23, and prime(n) = 5, therefore a(3) = 23 - 5 = 18.
		

Crossrefs

Programs

  • Mathematica
    Table[Prime[3n] - Prime[n], {n, 1, 100}]
  • PARI
    a(n) = prime(3*n) - prime(n); \\ Michel Marcus, Aug 18 2016

Formula

a(n) = A031336(n) - A000040(n).
Previous Showing 11-15 of 15 results.