A144562 -id:A144562 - cp's OEIS frontend

A141873 Primes congruent to 8 mod 19.

103, 179, 293, 331, 521, 673, 787, 863, 977, 1091, 1129, 1319, 1433, 1471, 1699, 1889, 2003, 2269, 2383, 2459, 2687, 2801, 2953, 3067, 3181, 3257, 3371, 3637, 4093, 4283, 4397, 4549, 4663, 4967, 5081, 5119, 5233, 5309, 5347, 5651, 5689, 5879, 6221, 6373

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A144562.

[p: p in PrimesUpTo(8000) | p mod 19 eq 8 ]; // Vincenzo Librandi, Aug 15 2012

Select[Range[8,5000,19],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 31 2011*)

is(n)=isprime(n) && n%19==8 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 18n log n. - Charles R Greathouse IV, Jul 02 2016

A142126 Primes congruent to 17 mod 37.

Original entry on oeis.org

17, 239, 313, 461, 683, 757, 1201, 1423, 1571, 1867, 2089, 2237, 2311, 2459, 2903, 3347, 3643, 4013, 4457, 4679, 5197, 5419, 5641, 6011, 6529, 6899, 7121, 7417, 7639, 8009, 8231, 8527, 8971, 9341, 9859, 10007, 10303, 11117, 11783, 12227, 12301, 12671, 12893

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142124, A142125, A144562.

[p: p in PrimesUpTo(15000) | p mod 37 eq 17 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[17,30000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 11 2011 *)
Select[Prime[Range[5000]],MemberQ[{17},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==17 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016

A142216 Primes congruent to 19 mod 41.

Original entry on oeis.org

19, 101, 347, 593, 757, 839, 1249, 1741, 1823, 1987, 2069, 2971, 3217, 3299, 3463, 3709, 4201, 4283, 4447, 5021, 5431, 5923, 6661, 6907, 7481, 7727, 8219, 8629, 9203, 9613, 9859, 9941, 10433, 10597, 11171, 11827, 11909, 12073, 12401, 12647, 12893, 13877

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A144562. - Vincenzo Librandi, Jan 17 2009

[p: p in PrimesUpTo(16000) | p mod 41 eq 19 ]; // Vincenzo Librandi, Aug 23 2012

Select[Range[19,30000,41],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)
Select[Prime[Range[5000]],MemberQ[{19},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)

is(n)=isprime(n) && n%41==19 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 02 2016

A163769 Primes p such that 2*p+3 is not prime.

Original entry on oeis.org

3, 11, 23, 31, 37, 41, 59, 61, 71, 79, 83, 101, 103, 107, 109, 131, 149, 151, 163, 179, 181, 191, 211, 233, 239, 241, 251, 257, 263, 271, 281, 293, 311, 313, 317, 331, 347, 359, 367, 373, 389, 401, 419, 421, 431, 433, 443, 449, 457, 461, 479, 491, 499, 521

Offset: 1

Vincenzo Librandi, Aug 04 2009

All those p appear in A144562. [Proof: since 2p+3 is odd and not prime, it can be written as a product of two odd numbers, 2p+3=(2k+1)*(2s+1), therefore p=2ks+k+s-1. - R. J. Mathar, Aug 06 2009]

			3 is in the sequence because 2*3+3=9 is composite; 23 is in the sequence because 2*23+3=49 is composite.

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

Cf. A144562.

[p: p in PrimesUpTo(700) | not IsPrime(2*p+3)]; // Vincenzo Librandi, Apr 08 2013

Select[Prime[Range[200]],!PrimeQ[2#+3]&] (* Harvey P. Dale, Feb 02 2012 *)

A153238 INTERSECT A000040. - R. J. Mathar, Aug 05 2009

A000040 \ A023204. - R. J. Mathar, Aug 05 2009

Entries checked - R. J. Mathar, Aug 06 2009

A142018 Primes congruent to 14 mod 31.

Original entry on oeis.org

107, 293, 479, 541, 727, 1223, 1409, 1471, 1657, 2029, 2153, 2339, 2711, 2897, 3083, 3331, 3517, 3889, 4013, 4261, 4447, 4943, 5501, 5563, 5749, 6121, 6679, 6803, 7237, 7547, 7919, 8167, 8291, 8353, 8539, 8663, 8849, 9221, 9283, 10151, 10337, 10399, 10709

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A144562.

[p: p in PrimesUpTo(12000) | p mod 31 eq 14 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[14,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 20 2011 *)

is(n)=isprime(n) && n%31==14 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 02 2016

A154621 Primes congruent to 32 mod 67.

Original entry on oeis.org

233, 367, 769, 1171, 1439, 2243, 2377, 3181, 3449, 3583, 3851, 4253, 4789, 5861, 6263, 6397, 7603, 8273, 9479, 9613, 11087, 11489, 12829, 13499, 13633, 13901, 14303, 14437, 15107, 15241, 15643, 16447, 17117, 17519, 17921, 18457, 18859

Offset: 1

Vincenzo Librandi, Jan 17 2009

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

Cf. A144562.

[p: p in PrimesUpTo(20000) | p mod 67 eq 32 ]; // Vincenzo Librandi, Aug 09 2012

Select[Prime[Range[2000]],MemberQ[{32},Mod[#,67]]&] (* Vincenzo Librandi, Aug 09 2012 *)

is(n)=isprime(n) && n%67==32 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 66n log n. - Charles R Greathouse IV, Jul 02 2016

Edited by N. J. A. Sloane, Jun 23 2010

A154624 Primes congruent to 34 mod 71.

Original entry on oeis.org

389, 673, 1667, 1951, 2377, 2803, 3229, 3371, 3797, 4507, 4649, 4933, 5501, 5927, 6211, 6353, 6637, 6779, 7489, 9619, 10613, 12601, 12743, 13879, 14447, 14731, 15299, 15583, 17713, 19417, 19559, 19843, 20269, 20411, 21121, 22541, 23251

Offset: 1

Vincenzo Librandi, Jan 17 2009

Prime numbers that belong to the 35th column of A144562.

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

Cf. A154625, A144562.

[p: p in PrimesUpTo(25000) | p mod 71 eq 34 ]; // Vincenzo Librandi, Aug 09 2012

Select[Prime[Range[7000]],MemberQ[{34},Mod[#,71]]&] (* Vincenzo Librandi, Aug 09 2012 *)

is(n)=isprime(n) && n%71==34 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 70n log n. - Charles R Greathouse IV, Jul 02 2016

A141935 Primes congruent to 11 mod 25.

Original entry on oeis.org

11, 61, 211, 311, 461, 661, 761, 811, 911, 1061, 1361, 1511, 1811, 1861, 2011, 2111, 2161, 2311, 2411, 2711, 2861, 3011, 3061, 3361, 3461, 3511, 3761, 3911, 4111, 4211, 4261, 4561, 4861, 5011, 5261, 5711, 5861, 6011, 6211, 6311, 6361, 6661, 6761, 6911, 6961

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A144562.

[p: p in PrimesUpTo(8000) | p mod 25 eq 11 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[11, 20000, 25], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 15 2011 *)

is(n)=isprime(n) && n%25==11 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 20n log n. - Charles R Greathouse IV, Jul 02 2016

A142269 Primes congruent to 20 mod 43.

Original entry on oeis.org

149, 751, 1009, 1181, 1439, 1697, 1783, 2213, 2557, 2729, 3331, 3761, 3847, 4019, 4363, 4621, 4793, 5051, 5309, 5653, 6427, 6599, 6857, 7459, 7717, 8147, 8233, 8663, 9007, 9437, 9781, 10039, 10211, 11071, 11243, 11329, 11587, 12619, 12791, 13049, 14081

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A144562.

[p: p in PrimesUpTo(16000) | p mod 43 eq 20 ]; // Vincenzo Librandi, Aug 25 2012

Select[Prime[Range[5000]], MemberQ[{20}, Mod[#, 43]] &] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[20,15000,43],PrimeQ] (* Harvey P. Dale, Jun 04 2021 *)

is(n)=isprime(n) && n%43==20 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 42n log n. - Charles R Greathouse IV, Jul 02 2016

A142373 Primes congruent to 22 mod 47.

Original entry on oeis.org

163, 257, 727, 821, 1009, 1103, 1291, 1667, 1949, 2137, 3359, 3547, 3923, 4111, 4957, 5051, 5333, 5521, 5897, 6367, 7213, 7307, 7589, 8059, 8623, 8999, 9187, 9281, 10597, 10691, 10973, 11161, 11443, 12007, 12101, 12289, 12853, 13229, 13417, 14639, 14827

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A144562.

[p: p in PrimesUpTo(18000) | p mod 47 eq 22]; // Vincenzo Librandi, Aug 27 2012

Select[Prime[Range[2500]],MemberQ[{22},Mod[#,47]]&] (* Vincenzo Librandi, Aug 27 2012 *)

is(n)=isprime(n) && n%47==22 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 46n log n. - Charles R Greathouse IV, Jul 03 2016

cp's OEIS Frontend

A141873 Primes congruent to 8 mod 19.

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A142126 Primes congruent to 17 mod 37.

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A142216 Primes congruent to 19 mod 41.

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A163769 Primes p such that 2*p+3 is not prime.

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A142018 Primes congruent to 14 mod 31.

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A154621 Primes congruent to 32 mod 67.

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Magma

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A154624 Primes congruent to 34 mod 71.

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