A141977 -id:A141977 - cp's OEIS frontend

A141993 Primes congruent to 17 mod 29.

17, 191, 307, 829, 887, 1061, 1409, 1583, 1699, 1873, 1931, 2221, 2801, 2917, 3323, 3613, 3671, 4019, 4483, 4657, 4831, 4889, 5179, 5237, 5527, 5701, 6397, 6571, 6803, 6977, 7151, 7499, 7673, 7789, 7963, 8311, 8369, 8543, 9007, 9181, 9239, 9413, 9587, 10399

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 17 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[17,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==17 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A141994 Primes congruent to 18 mod 29.

Original entry on oeis.org

47, 163, 337, 569, 743, 859, 1033, 1091, 1381, 1439, 1613, 1787, 2251, 2309, 2657, 3121, 3469, 3527, 3643, 3701, 4049, 4339, 4397, 4513, 4861, 4919, 5209, 5441, 5557, 6079, 6311, 6427, 6659, 6833, 6949, 7297, 7529, 7703, 7877, 7993, 8167, 8573, 8689, 8747

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 18 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[18,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==18 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A141995 Primes congruent to 19 mod 29.

Original entry on oeis.org

19, 193, 251, 367, 541, 599, 773, 947, 1063, 1237, 1759, 1933, 2281, 2339, 2687, 2803, 2861, 3209, 3499, 3557, 3673, 3847, 4021, 4079, 4253, 5297, 5413, 5471, 6689, 6863, 7211, 7559, 7907, 8081, 8429, 8719, 8893, 8951, 9067, 9241, 9473, 10111, 10169, 10343

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 19 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[19,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==19 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A141996 Primes congruent to 20 mod 29.

Original entry on oeis.org

107, 223, 281, 397, 571, 919, 977, 1093, 1151, 1499, 1789, 1847, 2137, 2311, 2543, 2659, 2833, 3181, 3413, 3529, 3761, 3877, 4051, 4283, 4457, 5153, 5443, 5501, 5791, 5849, 6197, 6661, 6719, 7589, 7879, 7937, 8053, 8111, 8807, 8923, 9619, 9677, 9851, 9967

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 20 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[20,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==20 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A141997 Primes congruent to 21 mod 29.

Original entry on oeis.org

79, 137, 311, 601, 659, 1123, 1181, 1297, 1471, 1877, 1993, 2341, 2399, 2689, 3037, 3559, 3617, 3733, 3907, 4139, 4603, 4951, 5009, 5531, 5647, 5821, 5879, 6053, 6343, 6691, 7039, 7213, 7561, 7793, 8431, 8663, 8779, 8837, 9011, 9127, 9533, 9649, 10867, 11273

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 21 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[21,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==21 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A141998 Primes congruent to 22 mod 29.

Original entry on oeis.org

109, 167, 283, 457, 631, 863, 1153, 1327, 1559, 1733, 1907, 2081, 2371, 2719, 2777, 3067, 3299, 3821, 4111, 4517, 4691, 5039, 5387, 5503, 5851, 6199, 6257, 6373, 6547, 6779, 7069, 7127, 7243, 7417, 7591, 7649, 7823, 8171, 8287, 8461, 8693, 8867, 9041, 9157

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 22 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[22,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==22 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A142000 Primes congruent to 24 mod 29.

Original entry on oeis.org

53, 227, 401, 691, 1039, 1097, 1213, 1619, 2083, 2141, 2663, 2837, 2953, 3011, 3301, 3359, 3533, 3823, 3881, 4229, 4519, 4751, 5099, 5273, 5563, 5737, 6143, 6317, 6491, 6607, 6781, 7013, 7129, 7187, 7477, 7883, 8231, 8521, 8753, 9043, 9391, 9623, 9739

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 24 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[24,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==24 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A142001 Primes congruent to 25 mod 29.

Original entry on oeis.org

83, 199, 257, 373, 431, 547, 953, 1069, 1301, 1823, 1997, 2113, 2287, 2693, 3041, 3331, 3389, 3853, 3911, 4027, 4201, 4259, 4549, 4723, 5303, 5419, 5477, 5651, 6173, 6521, 6637, 6869, 7043, 7159, 7333, 7507, 7681, 8087, 8377, 8609, 8783, 9421, 9479, 9769

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 25 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[25,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)
Select[Prime[Range[2000]],Mod[#,29]==25&] (* Harvey P. Dale, Nov 12 2019 *)

is(n)=isprime(n) && n%29==25 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A142002 Primes congruent to 26 mod 29.

Original entry on oeis.org

113, 229, 461, 577, 751, 809, 983, 1447, 1621, 2027, 2143, 2549, 2897, 3187, 3361, 3593, 3709, 3767, 4057, 4231, 4289, 4463, 4637, 5101, 5333, 5449, 5507, 5623, 6029, 6203, 6551, 6841, 6899, 7247, 7537, 8059, 8117, 8233, 8291, 8581, 8929, 9103, 9161, 9277

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A141977, A141978.

[p: p in PrimesUpTo(12000) | p mod 29 eq 26 ]; // Vincenzo Librandi, Aug 17 2012

Select[Range[26,20000,29],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 07 2011 *)

is(n)=isprime(n) && n%29==26 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

A248572 a(n) = 29*n + 1.

Original entry on oeis.org

1, 30, 59, 88, 117, 146, 175, 204, 233, 262, 291, 320, 349, 378, 407, 436, 465, 494, 523, 552, 581, 610, 639, 668, 697, 726, 755, 784, 813, 842, 871, 900, 929, 958, 987, 1016, 1045, 1074, 1103, 1132, 1161, 1190, 1219, 1248, 1277, 1306, 1335, 1364, 1393, 1422

Offset: 0

Karl V. Keller, Jr., Oct 08 2014

Numbers congruent to 1 mod 29.

Both A141977 and A059256 give the primes in this sequence.

			For n = 5, 29n + 1 = 145 + 1 = 146.

Karl V. Keller, Jr., Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A141977 (Primes congruent to 1 mod 29).
Cf. A059256 (Primes p such that x^29 = 2 has no solution mod p).
Cf. A195819 (multiples of 29).

List([0..60], n-> 29*n+1); # G. C. Greubel, May 24 2019

[29*n+1: n in [0..60]]; // Vincenzo Librandi, Oct 26 2014

29Range[0, 60] + 1 (* Alonso del Arte, Oct 09 2014 *)
CoefficientList[Series[(1+28x)/(1-x)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Oct 26 2014 *)
LinearRecurrence[{2,-1},{1,30},50] (* Harvey P. Dale, Oct 08 2019 *)

vector(60, n, n--; 29*n+1) \\ Derek Orr, Oct 08 2014

for n in range(61):
    print(29*n+1, end=', ')

[29*n+1 for n in (0..60)] # G. C. Greubel, May 24 2019

a(n) = 29*n + 1.
G.f.: (1+28*x)/(1-x)^2. - Vincenzo Librandi, Oct 26 2014 [corrected by Georg Fischer, May 24 2019]
E.g.f.: (1 + 29*x)*exp(x). - G. C. Greubel, May 24 2019

cp's OEIS Frontend

A141993 Primes congruent to 17 mod 29.

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A141994 Primes congruent to 18 mod 29.

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A141995 Primes congruent to 19 mod 29.

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A141996 Primes congruent to 20 mod 29.

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A141997 Primes congruent to 21 mod 29.

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Magma

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A141998 Primes congruent to 22 mod 29.

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Magma

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A142000 Primes congruent to 24 mod 29.

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Magma

Mathematica

PARI

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A142001 Primes congruent to 25 mod 29.

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