A141908 -id:A141908 - cp's OEIS frontend

A100201 Primes of the form 23n+3.

3, 233, 463, 509, 601, 647, 739, 877, 1061, 1153, 1291, 1429, 1567, 1613, 1889, 2027, 2441, 2579, 2671, 3361, 3407, 3499, 3637, 3821, 4051, 4327, 4373, 4603, 4649, 4787, 5431, 5477, 5569, 6029, 6121, 6397, 6581, 6673, 6719, 6857, 6949, 7547, 7639, 7823

Offset: 1

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Dec 27 2004

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Cf. A040984, A141908.

[ a: n in [0..400] | IsPrime(a) where a is 23*n+3 ]; // Vincenzo Librandi, Dec 07 2011

Select[Range[3,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)

A212374 Primes congruent to 1 mod 23.

Original entry on oeis.org

47, 139, 277, 461, 599, 691, 829, 967, 1013, 1151, 1289, 1381, 1427, 1657, 1933, 1979, 2347, 2393, 2531, 3037, 3083, 3221, 3313, 3359, 3727, 3911, 4003, 4049, 4463, 4831, 4877, 4969, 5107, 5153, 5521, 5659, 5843, 5981, 6073, 6211, 6257, 6763, 6947, 7039, 7177

Offset: 1

Bruno Berselli, Sep 12 2012

This sequence is not the same as A040984. First disagreement at index 34: a(34)=5153, A040984(34)=5521.

Bruno Berselli, Table of n, a(n) for n = 1..1000

Cf. A100201, A102734, A141908-A141926, A040984.

[p: p in PrimesUpTo(7200) | p mod 23 eq 1];

select(p->irem(p, 23)=1, [ithprime(i)$i=1..1000])[]; # Alois P. Heinz, Sep 12 2012

Select[Prime[Range[1000]], Mod[#, 23] == 1 &]
Select[Range[1,7200,23],PrimeQ] (* Harvey P. Dale, Jul 02 2018 *)

is(n)=isprime(n) && n%23==1 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016

A102734 Primes of the form 23n+5.

Original entry on oeis.org

5, 97, 281, 373, 419, 557, 787, 971, 1063, 1109, 1201, 1523, 1753, 2029, 2213, 2351, 2719, 2857, 2903, 3041, 3271, 3547, 3593, 3823, 4007, 4099, 4283, 4421, 4513, 4651, 4789, 4973, 5387, 5479, 5801, 5939, 6353, 6491, 6997, 7043, 7411, 7457, 7549, 7687

Offset: 1

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Feb 07 2005

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

Cf. A040984, A141908, A100201.

[a: n in [0..400]|IsPrime(a) where a is 23*n+5 ]; // Vincenzo Librandi, Jul 19 2012

Select[Range[5,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)
Select[Table[23*n+5,{n,0,1500}],PrimeQ] (* Vincenzo Librandi, Jul 19 2012 *)

A141919 Primes congruent to 15 mod 23.

Original entry on oeis.org

61, 107, 199, 337, 383, 521, 613, 659, 751, 797, 1303, 1487, 1579, 1901, 1993, 2039, 2131, 2269, 2591, 2683, 2729, 3373, 3511, 3557, 3833, 4201, 4339, 4523, 4799, 4937, 5167, 5351, 5443, 5581, 5857, 5903, 6133, 6271, 6317, 6547, 6823, 6869, 6961, 7237, 7283

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A040984, A141908, A100201.

[p: p in PrimesUpTo(9000) | p mod 23 eq 15 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[15,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)

is(n)=isprime(n) && n%23==15 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 02 2016

A141909 Primes congruent to 4 mod 23.

Original entry on oeis.org

73, 211, 257, 349, 487, 809, 947, 1039, 1223, 1361, 1453, 1499, 1637, 1867, 1913, 2143, 2281, 2557, 2741, 2833, 2879, 2971, 3109, 4259, 4397, 4673, 4903, 5087, 5179, 5501, 5639, 5869, 6007, 6053, 6329, 6421, 7019, 7433, 8123, 8353, 8537, 8629, 8951, 9043

Offset: 1

N. J. A. Sloane, Jul 11 2008

Primes congruent to 27 mod 46. - Chai Wah Wu, Apr 28 2025

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

Cf. A000040, A040984, A141908, A100201.

[p: p in PrimesUpTo(10000) | p mod 23 eq 4 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[4,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)

is(n)=isprime(n) && n%23==4 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016

A141910 Primes congruent to 6 mod 23.

Original entry on oeis.org

29, 167, 397, 443, 673, 719, 811, 857, 1087, 1409, 1777, 1823, 2053, 2099, 2237, 2467, 2789, 2927, 3019, 3203, 3433, 3571, 3617, 3709, 3847, 4261, 4583, 4721, 4813, 4951, 5227, 5273, 5503, 5641, 5779, 6101, 6469, 6607, 6653, 6791, 6883, 7159, 7297, 7481

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A040984, A141908, A100201.

[p: p in PrimesUpTo(8000) | p mod 23 eq 6 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[6,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)
Select[Prime[Range[1000]],Mod[#,23]==6&] (* Harvey P. Dale, Jun 20 2021 *)

is(n)=isprime(n) && n%23==6 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016

A141911 Primes congruent to 7 mod 23.

Original entry on oeis.org

7, 53, 191, 283, 421, 467, 743, 881, 1019, 1249, 1433, 1571, 1663, 1709, 1801, 1847, 2399, 2767, 3089, 3181, 3319, 3457, 3733, 3779, 3917, 4423, 4561, 5021, 5113, 5297, 5527, 5573, 5711, 5849, 5987, 6079, 6217, 6263, 6907, 7229, 7321, 7459, 7643, 7873, 7919

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A040984, A141908, A100201.

[p: p in PrimesUpTo(8000) | p mod 23 eq 7 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[7,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)

is(n)=isprime(n) && n%23==7 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016

A141912 Primes congruent to 8 mod 23.

Original entry on oeis.org

31, 307, 353, 491, 859, 997, 1181, 1319, 1549, 1733, 1871, 2239, 2377, 2423, 2699, 2791, 2837, 3067, 3251, 3343, 3389, 3527, 3803, 4079, 4217, 4447, 4493, 4723, 4861, 4999, 5413, 5689, 5827, 6011, 6287, 6379, 6563, 6701, 6793, 6977, 7069, 7207, 7253, 7529

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A040984, A141908, A100201.

[p: p in PrimesUpTo(8000) | p mod 23 eq 8 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[8,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)

is(n)=isprime(n) && n%23==8 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016

A141913 Primes congruent to 9 mod 23.

Original entry on oeis.org

101, 193, 239, 331, 607, 653, 883, 929, 1021, 1297, 1481, 1619, 1987, 2309, 2447, 2539, 2677, 2861, 2953, 2999, 3137, 3229, 3413, 3643, 3919, 4057, 4241, 4517, 4793, 4931, 5023, 5437, 5483, 5851, 5897, 6173, 6311, 6449, 6679, 6863, 7001, 7369, 7507, 7691

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A040984, A141908, A100201.

[p: p in PrimesUpTo(8000) | p mod 23 eq 9 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[9,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)
Select[Prime[Range[1000]],Mod[#,23]==9&] (* Harvey P. Dale, Dec 14 2020 *)

is(n)=isprime(n) && n%23==9 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016

A141915 Primes congruent to 11 mod 23.

Original entry on oeis.org

11, 103, 149, 241, 379, 563, 701, 839, 977, 1069, 1483, 1621, 1667, 1759, 2081, 2311, 2357, 2633, 2909, 3001, 3323, 3461, 3691, 3967, 4013, 4243, 4289, 4519, 4657, 4703, 4933, 5209, 5347, 5393, 5531, 5623, 5669, 5807, 6037, 6221, 6359, 6451, 6911, 7187

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A040984, A141908, A100201.

[p: p in PrimesUpTo(8000) | p mod 23 eq 11 ]; // Vincenzo Librandi, Aug 16 2012

Select[Range[11,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)

is(n)=isprime(n) && n%23==11 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016

cp's OEIS Frontend

A100201 Primes of the form 23n+3.

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Magma

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A212374 Primes congruent to 1 mod 23.

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A102734 Primes of the form 23n+5.

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Magma

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A141919 Primes congruent to 15 mod 23.

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Magma

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A141909 Primes congruent to 4 mod 23.

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Magma

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A141910 Primes congruent to 6 mod 23.

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Magma

Mathematica

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A141911 Primes congruent to 7 mod 23.

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Magma

Mathematica

PARI

Formula

A141912 Primes congruent to 8 mod 23.

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