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 1-5 of 5 results.

A101123 Numbers k for which 7*k + 11 is prime.

Original entry on oeis.org

0, 6, 8, 14, 18, 20, 24, 26, 36, 38, 48, 54, 60, 68, 78, 80, 84, 86, 90, 96, 104, 114, 116, 128, 138, 140, 144, 146, 150, 156, 158, 168, 170, 174, 188, 204, 206, 210, 216, 224, 228, 230, 236, 246, 248, 254, 260, 266, 270, 284, 288, 294, 296, 300, 306, 318, 320
Offset: 1

Views

Author

Parthasarathy Nambi, Jan 21 2005

Keywords

Comments

Note that 7 is the largest single-digit prime and 11 is the smallest two-digit prime.

Examples

			For k=6, 7*6 + 11 = 53 (prime).
For k=8, 7*8 + 11 = 67 (prime).
For k=14, 7*14 + 11 = 109 (prime).

Links

Crossrefs

Cf. A017029, A101084, A101086, A101444.

Programs

Extensions

Extended by Ray Chandler, Jan 25 2005

A101086 Numbers k for which 997*k + 1009 is prime.

Original entry on oeis.org

0, 6, 10, 12, 22, 36, 64, 76, 82, 94, 126, 130, 136, 144, 150, 162, 174, 186, 202, 204, 246, 250, 252, 274, 276, 292, 294, 300, 306, 312, 330, 342, 360, 364, 390, 430, 466, 472, 480, 484, 490, 502, 526, 540, 546, 582, 586, 592, 594, 606, 610, 616, 622, 642
Offset: 1

Views

Author

Parthasarathy Nambi, Jan 21 2005

Keywords

Comments

997 is the largest three-digit prime and 1009 is the smallest four-digit prime.

Examples

			If k=6, then 997*6 + 1009 = 6991 (prime).
If k=10, then 997*10 + 1009 = 10979 (prime).
If k=12, then 997*12 + 1009 = 12973 (prime).

Crossrefs

Cf. A100776, A101084, A101123, A101444.

Programs

  • Magma
    [ n: n in [0..700] | IsPrime(997*n + 1009) ]; // Vincenzo Librandi, Feb 04 2011
  • Mathematica
    Select[Range[0,700],PrimeQ[997#+1009]&] (* Harvey P. Dale, Jun 29 2011 *)

Extensions

Extended by Ray Chandler, Jan 25 2005

A101444 Numbers k such that (9973*k + 10007) is a prime.

Original entry on oeis.org

0, 14, 32, 42, 48, 98, 104, 108, 120, 122, 132, 180, 204, 210, 224, 228, 230, 264, 278, 300, 302, 308, 318, 342, 344, 348, 350, 374, 384, 402, 410, 414, 428, 438, 444, 462, 470, 500, 522, 540, 564, 602, 614, 638, 644, 672, 678, 692, 698, 714, 720, 740, 782
Offset: 1

Views

Author

Parthasarathy Nambi, Jan 18 2005

Keywords

Comments

Note that 9973 is the largest four-digit prime and 10007 is the smallest five-digit prime.

Examples

			If k=14 then 9973*14 + 10007 = 149629 (prime).
If k=32 then 9973*32 + 10007 = 329143 (prime).
If k=42 then 9973*42 + 10007 = 428873 (prime).

Links

Crossrefs

Cf. A101123, A101084, A101086, A101442.

Programs

  • Mathematica
    Select[ Range[ 0, 791], PrimeQ[9973# + 10007]&] (* Robert G. Wilson v, Jan 20 2005 *)

Extensions

Extended by Lior Manor, Ray Chandler and Robert G. Wilson v, Jan 20 2005

A100775 a(n) = 97*n + 101.

Original entry on oeis.org

101, 198, 295, 392, 489, 586, 683, 780, 877, 974, 1071, 1168, 1265, 1362, 1459, 1556, 1653, 1750, 1847, 1944, 2041, 2138, 2235, 2332, 2429, 2526, 2623, 2720, 2817, 2914, 3011, 3108, 3205, 3302, 3399, 3496, 3593, 3690, 3787, 3884, 3981, 4078, 4175, 4272, 4369, 4466
Offset: 0

Views

Author

Parthasarathy Nambi, Jan 03 2005

Keywords

Comments

Note that 97 is the largest two-digit prime and 101 is the smallest three-digit prime.

Examples

			If n=1, then 97*1 + 101 = 198.

Links

Crossrefs

Cf. A017029, A100776, A101084, A101442.

Programs

Formula

From Harvey P. Dale, Nov 26 2013: (Start)
a(n) = 2*a(n-1) - a(n-2); a(0)=101, a(1)=198.
G.f.: (101 - 4*x)/(x-1)^2. (End)
E.g.f.: exp(x)*(101 + 97*x). - Elmo R. Oliveira, Dec 08 2024

Extensions

More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005
Edited by Ray Chandler, Jan 25 2005

A111455 Numbers k such that 101*k + 97 is prime.

Original entry on oeis.org

0, 14, 24, 32, 36, 42, 50, 62, 66, 72, 84, 86, 90, 102, 104, 116, 126, 146, 164, 192, 200, 206, 224, 230, 240, 246, 260, 270, 282, 290, 326, 330, 332, 336, 344, 350, 354, 360, 374, 396, 402, 410, 414, 422, 440, 456, 482, 492, 494, 504, 506, 510, 546, 552, 570
Offset: 1

Views

Author

Parthasarathy Nambi, Nov 14 2005

Keywords

Comments

All the numbers in this sequence are even. 97 is the largest two digit prime and 101 is the smallest three digit prime.

Examples

			If k=240 then 101*k + 97 = 24337 (prime).

Links

Crossrefs

Cf. A101084.

Programs

Showing 1-5 of 5 results.

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

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