A141949 -id:A141949 - cp's OEIS frontend

A142592 Primes congruent to 29 mod 54.

29, 83, 137, 191, 353, 461, 569, 677, 839, 947, 1109, 1163, 1217, 1433, 1487, 1811, 1973, 2027, 2081, 2243, 2297, 2351, 2459, 2621, 2729, 2837, 2999, 3323, 3539, 3593, 3701, 3863, 3917, 4079, 4133, 4241, 4349, 4457, 4673, 4889, 4943, 5051, 5483, 5591, 5807

Offset: 1

N. J. A. Sloane, Jul 11 2008

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A000040, A141949.

[p: p in PrimesUpTo(6000) | p mod 54 eq 29]; // Vincenzo Librandi, Aug 30 2012

Select[Prime[Range[800]], MemberQ[{29}, Mod[#, 54]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[29,6000,54],PrimeQ] (* Harvey P. Dale, Aug 03 2013 *)

is(n)=isprime(n) && n%54==29 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 18n log n. - Charles R Greathouse IV, Jul 03 2016

A281546 a(n) = 27*n + 2.

Original entry on oeis.org

2, 29, 56, 83, 110, 137, 164, 191, 218, 245, 272, 299, 326, 353, 380, 407, 434, 461, 488, 515, 542, 569, 596, 623, 650, 677, 704, 731, 758, 785, 812, 839, 866, 893, 920, 947, 974, 1001, 1028, 1055, 1082, 1109, 1136, 1163, 1190, 1217, 1244, 1271, 1298, 1325, 1352, 1379, 1406, 1433

Offset: 0

Juri-Stepan Gerasimov, Jan 23 2017

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Column 3 of A281334.

Supersequence of A141949.

Magma
```
[27*n+2: n in [0..50]];
```

A281546:=n->27*n+2: seq(A281546(n), n=0..100); # Wesley Ivan Hurt, Feb 01 2017

27 Range[0, 53] + 2 (* Michael De Vlieger, Jan 24 2017 *)
LinearRecurrence[{2,-1},{2,29},60] (* Harvey P. Dale, Jul 04 2022 *)

a(n)=27*n+2 \\ Charles R Greathouse IV, Feb 06 2017

From Elmo R. Oliveira, Dec 08 2024: (Start)
G.f.: (2 + 25*x)/(1 - x)^2.
E.g.f.: (2 + 27*x)*exp(x).
a(n) = 2*a(n-1) - a(n-2) for n >= 2. (End)

cp's OEIS Frontend

A142592 Primes congruent to 29 mod 54.

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