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 1-3 of 3 results.

A101084 Numbers k such that 97*k + 101 is a prime.

Original entry on oeis.org

0, 6, 8, 14, 18, 30, 36, 50, 86, 90, 96, 110, 114, 116, 126, 128, 134, 138, 140, 156, 158, 174, 186, 194, 200, 204, 218, 236, 258, 260, 266, 278, 294, 296, 300, 314, 326, 336, 338, 344, 348, 354, 366, 368, 378, 398, 420, 428, 468, 470, 476, 498, 504, 516, 524
Offset: 1

Views

Author

Parthasarathy Nambi, Jan 21 2005

Keywords

Comments

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

Examples

			If k=6, then 97*6 + 101 = 683 (prime).
If k=8, then 97*8 + 101 = 877 (prime).
If k=14, then 97*14 + 101 = 1459 (prime).

Links

Crossrefs

Cf. A100775, A101086, A101123, A101444.

Programs

Extensions

Extended by Ray Chandler, Jan 25 2005

A100776 a(n) = 997*n + 1009.

Original entry on oeis.org

1009, 2006, 3003, 4000, 4997, 5994, 6991, 7988, 8985, 9982, 10979, 11976, 12973, 13970, 14967, 15964, 16961, 17958, 18955, 19952, 20949, 21946, 22943, 23940, 24937, 25934, 26931, 27928, 28925, 29922, 30919, 31916, 32913, 33910, 34907, 35904, 36901, 37898, 38895
Offset: 0

Views

Author

Parthasarathy Nambi, Jan 03 2005

Keywords

Comments

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

Examples

			If n=1, 997*1 + 1009 = 2006.
If n=2, 997*2 + 1009 = 3003.

Links

Crossrefs

Cf. A017029, A100775, A101086, A101442.

Programs

Formula

From Elmo R. Oliveira, Dec 07 2024: (Start)
G.f.: (1009 - 12*x)/(1 - x)^2.
E.g.f.: (1009 + 997*x)*exp(x).
a(n) = 2*a(n-1) - a(n-2) for n > 1. (End)

Extensions

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

A101442 a(n) = 9973*n + 10007.

Original entry on oeis.org

10007, 19980, 29953, 39926, 49899, 59872, 69845, 79818, 89791, 99764, 109737, 119710, 129683, 139656, 149629, 159602, 169575, 179548, 189521, 199494, 209467, 219440, 229413, 239386, 249359, 259332, 269305, 279278, 289251, 299224, 309197, 319170, 329143, 339116
Offset: 0

Views

Author

Parthasarathy Nambi, Jan 18 2005

Keywords

Comments

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

Examples

			If n=14, then 9973*14 + 10007 = 149629 (a prime).

Links

Crossrefs

Cf. A017029, A100775, A100776, A101444.

Programs

Formula

From Elmo R. Oliveira, Dec 07 2024: (Start)
G.f.: (10007 - 34*x)/(1 - x)^2.
E.g.f.: (10007 + 9973*x)*exp(x).
a(n) = 2*a(n-1) - a(n-2) for n > 1. (End)

Extensions

Extended by Ray Chandler, Jan 25 2005
Showing 1-3 of 3 results.

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

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