A142006 -id:A142006 - cp's OEIS frontend

A142019 Primes congruent to 15 mod 31.

139, 263, 449, 821, 883, 1069, 1193, 1627, 1999, 2309, 2371, 2557, 3301, 3673, 3797, 4231, 4603, 4789, 5099, 5347, 5471, 5657, 5843, 6029, 6091, 6277, 6959, 7207, 7331, 7393, 7517, 7703, 7951, 8447, 8819, 9067, 9377, 9439, 9749, 9811, 10369, 11113, 11299

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006.

[ p: p in PrimesUpTo(30000) | p mod 31 eq 15 ]; // Vincenzo Librandi, Apr 20 2011

Select[Range[15,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 20 2011 *)
Select[Prime[Range[1500]],Mod[#,31]==15&] (* Harvey P. Dale, Nov 15 2024 *)

is(n)=isprime(n) && n%31==15 \\ Charles R Greathouse IV, Jul 01 2016

A142023 Primes congruent to 19 mod 31.

Original entry on oeis.org

19, 577, 701, 887, 1259, 1321, 1693, 1879, 2003, 2251, 2437, 3119, 3181, 3491, 3677, 3739, 3863, 4049, 4111, 4297, 4421, 4483, 4793, 5227, 5351, 5413, 6343, 6529, 6653, 7211, 7459, 7583, 8017, 8389, 8513, 8699, 8761, 9133, 9257, 9319, 9629, 10559, 10993

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006, A142019.

[p: p in PrimesUpTo(12000) | p mod 31 eq 19 ]; // Vincenzo Librandi, Aug 27 2012

Select[Range[19,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *)

is(n)=isprime(n) && n%31==19 \\ Charles R Greathouse IV, Jul 02 2016

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

A142027 Primes congruent to 23 mod 31.

Original entry on oeis.org

23, 271, 457, 643, 829, 953, 1201, 1511, 1697, 1759, 2069, 2131, 2441, 2503, 2689, 2999, 3061, 3371, 3433, 3557, 3929, 4177, 4363, 4549, 4673, 5107, 5231, 5417, 5479, 5851, 6037, 6719, 6781, 6967, 7649, 8269, 8641, 8951, 9013, 9137, 9199, 9323, 10067, 10253

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006, A142023.

[p: p in PrimesUpTo(12000) | p mod 31 eq 23 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[23,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *)
Select[Prime[Range[1300]],Mod[#,31]==23&] (* Harvey P. Dale, Sep 05 2023 *)

is(n)=isprime(n) && n%31==23 \\ Charles R Greathouse IV, Jul 02 2016

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

A142029 Primes congruent to 25 mod 31.

Original entry on oeis.org

149, 211, 397, 521, 769, 1327, 1451, 1637, 1699, 1823, 2381, 2753, 2939, 3001, 3187, 3373, 3559, 3931, 4241, 4799, 4861, 5171, 5233, 5419, 5791, 6101, 6163, 6287, 6473, 6659, 6907, 7589, 8147, 8209, 8581, 9511, 9697, 9883, 10007, 10069, 10193, 10627, 10937

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006, A142027.

[p: p in PrimesUpTo(12000) | p mod 31 eq 25 ]; // Vincenzo Librandi, Aug 18 2012

Select[Range[25,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *)

is(n)=isprime(n) && n%31==25 \\ Charles R Greathouse IV, Jul 02 2016

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

A142031 Primes congruent to 27 mod 31.

Original entry on oeis.org

89, 151, 337, 461, 523, 647, 709, 1019, 1453, 1949, 2011, 2383, 2693, 2879, 3251, 3313, 3499, 3623, 4057, 4243, 4801, 4987, 5297, 5483, 5669, 6599, 6661, 6971, 7219, 7529, 7591, 7901, 7963, 8087, 8273, 8521, 8707, 8831, 8893, 9203, 10009, 10133, 10567, 10691

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006, A142029.

[p: p in PrimesUpTo(12000) | p mod 31 eq 27 ]; // Vincenzo Librandi, Aug 18 2012

Select[Range[27,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *)

is(n)=isprime(n) && n%31==27 \\ Charles R Greathouse IV, Jul 02 2016

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

A142010 Primes congruent to 6 mod 31.

Original entry on oeis.org

37, 223, 347, 409, 719, 967, 1091, 1153, 1277, 2083, 2207, 2269, 2393, 2579, 3137, 3323, 3571, 3881, 3943, 4129, 4253, 5059, 5431, 5741, 5927, 6113, 6299, 6361, 6547, 6733, 6857, 7043, 7229, 7477, 8221, 8779, 9151, 9337, 9461, 9833, 10267, 10391, 10453, 10639

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006.

[ p: p in PrimesUpTo(30000) | p mod 31 eq 6 ]; // Vincenzo Librandi, Apr 20 2011

Select[Range[6,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 20 2011 *)

is(n)=isprime(n) && n%31==6 \\ Charles R Greathouse IV, Jul 02 2016

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

A142033 Primes congruent to 29 mod 31.

Original entry on oeis.org

29, 277, 401, 463, 587, 773, 1021, 1579, 1889, 1951, 2137, 2447, 2633, 2819, 3067, 3191, 3253, 4493, 4679, 5051, 5113, 5237, 5857, 5981, 6043, 6229, 6353, 6911, 7159, 7283, 7717, 7841, 8089, 8461, 8647, 9391, 9887, 9949, 10259, 10321, 10631, 11003, 11251

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006, A142031.

[p: p in PrimesUpTo(12000) | p mod 31 eq 29 ]; // Vincenzo Librandi, Aug 18 2012

Select[Range[29,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *)

is(n)=isprime(n) && n%31==29 \\ Charles R Greathouse IV, Jul 02 2016

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

A142874 Primes congruent to 33 mod 62.

Original entry on oeis.org

157, 281, 467, 653, 839, 1087, 1459, 1583, 1831, 2017, 2141, 2203, 2389, 2699, 3257, 3319, 3691, 3877, 4001, 4373, 4621, 4931, 4993, 5179, 5303, 5737, 5861, 5923, 6047, 6481, 6791, 6977, 7039, 7349, 7411, 7907, 8093, 8527, 8713, 8837, 9209, 9643, 9767

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142006.

[p: p in PrimesUpTo(10000) | p mod 62 eq 33 ] ; // Vincenzo Librandi, Sep 06 2012

Select[Prime[Range[2500]], MemberQ[{33}, Mod[#, 62]] &] (* Vincenzo Librandi, Sep 06 2012 *)
Select[Range[33,10000,62],PrimeQ] (* Harvey P. Dale, May 03 2013 *)

is(n)=isprime(n) && n%62==33 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 03 2016

A142007 Primes congruent to 3 mod 31.

Original entry on oeis.org

3, 127, 251, 313, 499, 809, 1181, 1367, 1429, 1553, 1801, 1987, 2111, 2297, 2731, 2917, 3041, 3413, 3847, 4157, 4219, 4591, 5087, 5273, 5521, 6079, 6203, 6389, 6451, 6637, 6761, 6823, 6947, 7691, 7753, 7877, 8311, 8807, 9241, 9551, 9613, 9923, 10357, 10667

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A142005, A142006.

[p: p in PrimesUpTo(11000) | p mod 31 eq 3]; // Vincenzo Librandi, Aug 06 2012

Select[Range[3,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%31==3 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 03 2016

A142008 Primes congruent to 4 mod 31.

Original entry on oeis.org

97, 283, 593, 1151, 1213, 1399, 1523, 1709, 2081, 2143, 2267, 2887, 3011, 3259, 3631, 4003, 4127, 4561, 4871, 4933, 5119, 5801, 5987, 6173, 6359, 6421, 6607, 6793, 6917, 7103, 7351, 7537, 7723, 8219, 8467, 8839, 8963, 9397, 9521, 9769, 10079, 10141, 10513

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142005, A142006.

[ p: p in PrimesUpTo(30000) | p mod 31 eq 4 ]; // Vincenzo Librandi, Apr 20 2011

Select[Range[4,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 20 2011 *)
Select[Prime[Range[1500]],Mod[#,31]==4&] (* Harvey P. Dale, Sep 21 2021 *)

is(n)=isprime(n) && n%31==4 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 03 2016

cp's OEIS Frontend

A142019 Primes congruent to 15 mod 31.

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Magma

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A142023 Primes congruent to 19 mod 31.

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Magma

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A142027 Primes congruent to 23 mod 31.

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Magma

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A142029 Primes congruent to 25 mod 31.

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Magma

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PARI

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A142031 Primes congruent to 27 mod 31.

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Magma

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A142010 Primes congruent to 6 mod 31.

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Magma

Mathematica

PARI

Formula

A142033 Primes congruent to 29 mod 31.

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Programs

Magma

Mathematica

PARI

Formula

A142874 Primes congruent to 33 mod 62.

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