A124826 -id:A124826 - cp's OEIS frontend

A141891 Primes congruent to 8 mod 21.

29, 71, 113, 197, 239, 281, 449, 491, 617, 659, 701, 743, 827, 911, 953, 1163, 1289, 1373, 1499, 1583, 1667, 1709, 1877, 2003, 2087, 2129, 2213, 2297, 2339, 2381, 2423, 2549, 2591, 2633, 2801, 2843, 2927, 2969, 3011, 3137, 3221, 3347, 3389, 3557, 3767, 3851

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A124826.

[ p: p in PrimesUpTo(5000) | p mod 21 eq 8 ]; // Vincenzo Librandi, Apr 05 2011

Select[Range[8,5000,21],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 04 2011 *)

is(n)=isprime(n) && n%21==8 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 03 2016

A141894 Primes congruent to 13 mod 21.

Original entry on oeis.org

13, 97, 139, 181, 223, 307, 349, 433, 601, 643, 727, 769, 811, 853, 937, 1021, 1063, 1231, 1399, 1483, 1567, 1609, 1693, 1777, 1861, 1987, 2029, 2113, 2239, 2281, 2617, 2659, 2953, 3037, 3079, 3121, 3163, 3331, 3373, 3457, 3499, 3541, 3583, 3709, 3793, 3877

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A124826.

[ p: p in PrimesUpTo(5000) | p mod 21 eq 13 ]; // Vincenzo Librandi, Apr 05 2011

Select[Range[13,5000,21],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 04 2011 *)

is(n)=isprime(n) && n%21==13 \\ Charles R Greathouse IV, Jul 01 2016

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 01 2016

A141895 Primes congruent to 16 mod 21.

Original entry on oeis.org

37, 79, 163, 331, 373, 457, 499, 541, 709, 751, 877, 919, 1087, 1129, 1171, 1213, 1297, 1381, 1423, 1549, 1759, 1801, 2011, 2053, 2137, 2179, 2221, 2347, 2389, 2473, 2557, 2683, 2767, 2851, 3019, 3061, 3187, 3229, 3271, 3313, 3607, 3691, 3733, 3943, 4027

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A124826.

[ p: p in PrimesUpTo(5000) | p mod 21 eq 16 ]; // Vincenzo Librandi, Apr 05 2011

Select[Range[16,5000,21],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 04 2011 *)

is(n)=isprime(n) && n%21==16 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 03 2016

A141896 Primes congruent to 17 mod 21.

Original entry on oeis.org

17, 59, 101, 227, 269, 311, 353, 479, 521, 563, 647, 773, 857, 941, 983, 1109, 1151, 1193, 1277, 1319, 1361, 1487, 1571, 1613, 1697, 1823, 1907, 1949, 2243, 2411, 2579, 2621, 2663, 2789, 2957, 2999, 3041, 3083, 3167, 3209, 3251, 3461, 3671, 3797, 3881, 3923

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A124826.

[ p: p in PrimesUpTo(5000) | p mod 21 eq 17 ]; // Vincenzo Librandi, Apr 05 2011

Select[Range[17,5000,21],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 04 2011 *)

is(n)=isprime(n) && n%21==17 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 03 2016

A161504 Primes congruent to {1, 2, 10, 11, 19, 20} mod 21.

Original entry on oeis.org

2, 11, 19, 23, 31, 41, 43, 53, 61, 73, 83, 103, 107, 127, 137, 149, 157, 167, 179, 191, 199, 211, 229, 233, 241, 251, 263, 271, 283, 293, 313, 317, 337, 347, 359, 367, 379, 389, 397, 401, 409, 419, 421, 431, 439, 443, 461, 463, 503, 523, 547, 557, 569, 577, 587

Offset: 1

T. D. Noe, Jun 17 2009

nonn

The cyclotomic polynomial Phi(21p,x) is flat only for p in this sequence.

Harvey P. Dale, Table of n, a(n) for n = 1..1001 [a(1)=2 inserted by _Georg Fischer_, Jul 26 2020]

Cf. A117223, A124826, A141888, A141892, A141893, A141897, A141898, A160495.

Flatten[Table[Select[21*n+{-10,-2,-1,1,2,10}, PrimeQ], {n,50}]]
Select[Prime[Range[2,250]],MemberQ[{1,2,10,11,19,20},Mod[#,21]]&] (* Harvey P. Dale, May 03 2019 *)

Union of A124826, A141888, A141892, A141893, A141897, A141898.

a(1)=2 inserted by Georg Fischer, Jul 26 2020

cp's OEIS Frontend

A141891 Primes congruent to 8 mod 21.

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A141894 Primes congruent to 13 mod 21.

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A141895 Primes congruent to 16 mod 21.

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A141896 Primes congruent to 17 mod 21.

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A161504 Primes congruent to {1, 2, 10, 11, 19, 20} mod 21.

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