A141882 -id:A141882 - cp's OEIS frontend

A141870 Primes congruent to 4 mod 19.

23, 61, 137, 251, 479, 593, 631, 821, 859, 1049, 1087, 1163, 1201, 1277, 1429, 1543, 1619, 1657, 1733, 1847, 1999, 2113, 2341, 2417, 2531, 2683, 2797, 3253, 3329, 3557, 3671, 3709, 3823, 4013, 4051, 4127, 4241, 4507, 4583, 4621, 5039, 5077, 5153, 5381, 5419

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A105854, A141881, A141882, A141883.

[p: p in PrimesUpTo(8000) | p mod 19 eq 4 ]; // Vincenzo Librandi, Aug 15 2012

Select[Range[4,5000,19],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 31 2011*)

is(n)=isprime(n) && n%19==4 \\ Charles R Greathouse IV, Jul 03 2016

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

A141871 Primes congruent to 6 mod 19.

Original entry on oeis.org

101, 139, 367, 443, 557, 709, 823, 937, 1013, 1051, 1279, 1583, 1621, 1697, 1811, 2039, 2153, 2267, 2381, 2609, 2647, 2837, 3217, 3331, 3407, 3559, 3673, 3863, 4091, 4129, 4243, 4357, 4547, 4813, 4889, 5003, 5231, 5573, 5801, 5839, 5953, 6029, 6067, 6143

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A105854, A141881, A141882, A141883.

[p: p in PrimesUpTo(8000) | p mod 19 eq 6 ]; // Vincenzo Librandi, Aug 15 2012

Select[Range[6,5000,19],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 31 2011*)
Select[Prime[Range[1000]],Mod[#,19]==6&] (* Harvey P. Dale, Sep 12 2020 *)

is(n)=isprime(n) && n%19==6 \\ Charles R Greathouse IV, Jul 03 2016

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

A141872 Primes congruent to 7 mod 19.

Original entry on oeis.org

7, 83, 197, 311, 349, 463, 577, 653, 691, 881, 919, 1033, 1109, 1223, 1451, 1489, 1831, 1907, 2287, 2477, 2591, 2819, 2857, 2971, 3313, 3389, 3541, 3617, 3769, 4073, 4111, 4339, 4567, 4643, 4871, 4909, 5023, 5099, 5441, 5479, 5669, 5783, 5821, 5897, 6011

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A105854, A141881, A141882, A141883.

[p: p in PrimesUpTo(8000) | p mod 19 eq 7 ]; // Vincenzo Librandi, Aug 15 2012

Select[Range[7,5000,19],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 31 2011*)
Select[Prime[Range[800]],Mod[#,19]==7&] (* Harvey P. Dale, May 14 2025 *)

is(n)=isprime(n) && n%19==7 \\ Charles R Greathouse IV, Jul 03 2016

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

A141884 Primes congruent to 11 mod 20.

Original entry on oeis.org

11, 31, 71, 131, 151, 191, 211, 251, 271, 311, 331, 431, 491, 571, 631, 691, 751, 811, 911, 971, 991, 1031, 1051, 1091, 1151, 1171, 1231, 1291, 1451, 1471, 1511, 1531, 1571, 1811, 1831, 1871, 1931, 1951, 2011, 2111, 2131, 2251, 2311, 2351, 2371, 2411, 2531, 2551

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A105854, A141881, A141882, A141883.

[p: p in PrimesUpTo(3000) | p mod 20 eq 11 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[11,5000,20],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 31 2011*)
Select[Prime[Range[400]],Mod[#,20]==11&] (* Harvey P. Dale, Aug 10 2021 *)

is(n)=isprime(n) && n%20==11 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 8n log n. - Charles R Greathouse IV, Jul 03 2016

A142786 Primes congruent to 7 mod 60.

Original entry on oeis.org

7, 67, 127, 307, 367, 487, 547, 607, 727, 787, 907, 967, 1087, 1327, 1447, 1567, 1627, 1747, 1867, 1987, 2287, 2347, 2467, 2647, 2707, 2767, 2887, 3067, 3187, 3307, 3547, 3607, 3727, 3847, 3907, 3967, 4027, 4327, 4447, 4507, 4567, 4987, 5107, 5167, 5227

Offset: 1

N. J. A. Sloane, Jul 11 2008

Comment from Joshua S.M. Weiner, Oct 12 2012 (Start)
Intersection of A068229 and A141882. Subsequence of A132231.
Congruence classes of primes mod 60: A088955 (1), (this sequence 7),  A117047 (11), A142787 (13), A142788 (17), A142789 (19), A142790 (23), A142791 (29), A142792 (31), A142793 (37), A142794 (41), A142795 (43), A142796 (47), A142797 (49), A142798 (53), A142799 (59). (End)

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

Cf. A000040, A142322.

[p: p in PrimesUpTo(6000) | p mod 60 eq 7 ]; // Vincenzo Librandi, Sep 04 2012

Select[Prime[Range[1000]], Mod[#, 60] == 7 &] (* T. D. Noe, Oct 12 2012 *)
Select[Range[7,5300,60],PrimeQ] (* Harvey P. Dale, Nov 21 2018 *)

cp's OEIS Frontend

A141870 Primes congruent to 4 mod 19.

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A141871 Primes congruent to 6 mod 19.

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A141872 Primes congruent to 7 mod 19.

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A141884 Primes congruent to 11 mod 20.

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A142786 Primes congruent to 7 mod 60.

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