A175887 -id:A175887 - cp's OEIS frontend

A132240 Primes congruent to {1, 29} mod 30.

29, 31, 59, 61, 89, 149, 151, 179, 181, 211, 239, 241, 269, 271, 331, 359, 389, 419, 421, 449, 479, 509, 541, 569, 571, 599, 601, 631, 659, 661, 691, 719, 751, 809, 811, 839, 929, 991, 1019, 1021, 1049, 1051, 1109, 1171, 1201, 1229, 1231

Offset: 1

Omar E. Pol, Aug 15 2007

For every prime p here, the cyclotomic polynomial Phi(15p,x) is flat.

Primes in A175887. [Reinhard Zumkeller, Jan 07 2012]

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
C. K. Caldwell, The Prime Pages.
Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos.

Cf. A000040, A001097, A001359, A006512, A039949, A057204, A068228, A087715, A129805, A117223, A010051.

a132240 n = a132240_list !! (n-1)
a132240_list = [x | x <- a175887_list, a010051 x == 1]
-- Reinhard Zumkeller, Jan 07 2012

[ p: p in PrimesUpTo(1300) | p mod 30 in {1, 29} ]; // Vincenzo Librandi, Aug 14 2012

Select[Prime[Range[1000]],MemberQ[{1,29},Mod[#,30]]&] (* Vincenzo Librandi, Aug 14 2012 *)
Select[Flatten[#+{1,29}&/@(30Range[0,50])],PrimeQ] (* Harvey P. Dale, Sep 08 2021 *)

A257645 a(n) = 15*n + 14.

Original entry on oeis.org

14, 29, 44, 59, 74, 89, 104, 119, 134, 149, 164, 179, 194, 209, 224, 239, 254, 269, 284, 299, 314, 329, 344, 359, 374, 389, 404, 419, 434, 449, 464, 479, 494, 509, 524, 539, 554, 569, 584, 599, 614, 629, 644, 659, 674, 689, 704, 719, 734, 749, 764, 779

Offset: 0

Arkadiusz Wesolowski, Nov 05 2015

A123159(a(n)) <= 4.
This is not a subsequence of A047725 (for example, 239 is missing in A047725). - Bruno Berselli, Nov 06 2015
Equivalently, intersection of A016897 and A016789. - Bruno Berselli, Jan 24 2018

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A008597, A016897, A175887, A123159, A204542.

Magma
```
[15*n+14: n in [0..51]];
```
Maple
```
seq(15*n+14, n=0..51);
```
Mathematica
```
15 Range[50] - 1
```
PARI
```
for(n=0, 51, print1(15*n+14, ", "));
```

G.f.: (14 + x)/(1 - x)^2.
a(n) = A008597(n+1) - 1. - Omar E. Pol, Nov 05 2015
a(n) = A016897(3n+2) = A175887(2n+2) = A204542(4n+4). - Bruno Berselli, Nov 06 2015
E.g.f.: (15*x + 14)*exp(x). - G. C. Greubel, Apr 23 2018
a(n) = 2*a(n-1)-a(n-2). - Wesley Ivan Hurt, Dec 27 2023

cp's OEIS Frontend

A132240 Primes congruent to {1, 29} mod 30.

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