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 1-7 of 7 results.

A242768 Indices of twin primes in {A242758(n)-3}.

Original entry on oeis.org

1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 2, 2, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 6
Offset: 2

Views

Author

Vladimir Shevelev, May 22 2014

Keywords

Comments

For the definition of the index of a twin primes pair, see the comment in A242767.
The sequence is constructed as follows. Consider the sequence {A242758(n)-3}. It begins 3,5,11,11,17,17,29,29,29,...
These numbers occur in A001359 (lesser of twin primes) at the indices 1,2,3,3,4,4,5,5,5,...
We add 1: 2,3,4,4,5,5,6,6,6,... (since in A001359 n>=1, while in A242767 n>=2). Now A242767{2,3,4,4,5,5,6,6,6,...} = {1,1,2,2,2,2,3,3,3,...}: we obtain this sequence.

Links

Crossrefs

Cf. A001359, A006512, A242489, A242490, A242720, A242758, A242767.

Extensions

More terms from Peter J. C. Moses, May 23 2014

A242807 Smallest lesser of twin primes (A001359) with index n, or a(n)=0, if there are no such twin primes.

Original entry on oeis.org

3, 11, 29, 59, 137, 101, 2309, 1151, 521, 1427, 1229, 419, 5849, 3119, 5417, 10271, 1607, 9629, 1019, 809, 13217, 9239, 15581, 8819, 29021, 84059, 13679, 18911, 14867, 45119, 54401, 60647, 60089, 142589, 78137, 61979, 179381, 26681, 123377, 293861, 89519
Offset: 1

Views

Author

Vladimir Shevelev, May 23 2014

Keywords

Comments

For definition of index of twin primes pair, see A242767.
We conjecture that, for every n, a(n)>0.

Crossrefs

Cf. A001359, A242758, A242767.

Extensions

More terms from Peter J. C. Moses, May 26 2014

A242881 Positions of lesser of twin primes in A001359 with index 2.

Original entry on oeis.org

3, 4, 10, 12, 14, 15, 23, 32, 33, 37, 39, 50, 58, 60, 64, 66, 82, 86, 90, 91, 93, 111, 112, 114, 128, 139, 143, 155, 157, 158, 162, 167, 171, 179, 190, 197, 198, 199, 207, 223, 226, 231, 241, 248, 255, 262, 270, 280, 282, 286, 293, 306, 313, 317, 318, 325, 327
Offset: 1

Views

Author

Vladimir Shevelev, May 25 2014

Keywords

Comments

For the definition of the index of a twin primes pair, see the comment in A242767.

Links

Crossrefs

Cf. A001359, A242758, A242767, A242768, A242807.

Extensions

More terms from Peter J. C. Moses, May 25 2014

A242913 Positions of smaller of twin primes in A001359 with index 3.

Original entry on oeis.org

5, 6, 8, 17, 19, 29, 38, 44, 45, 46, 52, 54, 55, 65, 67, 71, 78, 80, 87, 95, 96, 97, 103, 106, 113, 119, 121, 124, 135, 136, 138, 152, 166, 187, 188, 191, 192, 208, 209, 212, 217, 237, 253, 254, 259, 269, 271, 275, 277, 288, 300, 308, 316, 320, 331, 349, 355
Offset: 1

Views

Author

Vladimir Shevelev, May 26 2014

Keywords

Comments

For the definition of the index of a twin prime pair, see the comment in A242767.

Links

Crossrefs

Cf. A001359, A242758, A242767, A242768, A242807, A242881.

Programs

Extensions

More terms from Peter J. C. Moses, May 26 2014

A242917 Positions of smaller of twin primes in A001359 with index 4.

Original entry on oeis.org

7, 16, 20, 28, 30, 34, 35, 40, 49, 69, 74, 84, 89, 101, 105, 108, 133, 134, 142, 148, 154, 159, 169, 176, 182, 185, 194, 202, 213, 215, 220, 221, 225, 232, 235, 238, 251, 256, 261, 303, 310, 311, 314, 322, 323, 329, 330, 342, 343, 353, 354, 360, 382, 396, 398
Offset: 1

Views

Author

Vladimir Shevelev, May 26 2014

Keywords

Comments

For the definition of the index of a twin prime pair, see the comment in A242767.

Links

Crossrefs

Cf. A001359, A242758, A242767, A242768, A242807, A242881, A242913.

Programs

Extensions

More terms from Peter J. C. Moses, May 26 2014

A242918 Positions of smaller of twin primes in A001359 with index 5.

Original entry on oeis.org

11, 18, 21, 27, 43, 48, 62, 77, 107, 109, 110, 118, 131, 145, 172, 201, 216, 258, 260, 265, 289, 294, 301, 307, 315, 319, 340, 350, 363, 365, 367, 381, 442, 449, 451, 453, 491, 496, 500, 515, 522, 528, 540, 559, 569, 581, 603, 613, 616, 620, 623, 630, 659, 689
Offset: 1

Views

Author

Vladimir Shevelev, May 26 2014

Keywords

Comments

For the definition of the index of a twin prime pair, see the comment in A242767.

Links

Crossrefs

Cf. A001359, A242758, A242767, A242768, A242807, A242881, A242913, A242917.

Programs

Extensions

More terms from Peter J. C. Moses, May 26 2014

A242919 Positions of smaller of twin primes in A001359 with index 6.

Original entry on oeis.org

9, 13, 24, 26, 53, 59, 61, 63, 76, 88, 94, 100, 104, 115, 126, 146, 156, 160, 184, 203, 206, 210, 224, 229, 240, 266, 276, 279, 298, 309, 333, 338, 352, 386, 406, 415, 431, 435, 444, 450, 469, 473, 508, 525, 529, 535, 537, 546, 550, 576, 580, 615, 633, 634
Offset: 1

Views

Author

Vladimir Shevelev, May 26 2014

Keywords

Comments

For the definition of the index of a twin prime pair, see the comment in A242767.

Links

Crossrefs

Cf. A001359, A242758, A242767, A242768, A242807, A242881, A242913, A242917, A242918.

Programs

Extensions

More terms from Peter J. C. Moses, May 26 2014
Showing 1-7 of 7 results.

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