A105132 -id:A105132 - cp's OEIS frontend

A105126 Primes of the form 16n+9.

41, 73, 89, 137, 233, 281, 313, 409, 457, 521, 569, 601, 617, 761, 809, 857, 937, 953, 1033, 1049, 1097, 1129, 1193, 1289, 1321, 1433, 1481, 1609, 1657, 1721, 1753, 1801, 1913, 1993, 2089, 2137, 2153, 2281, 2297, 2377, 2393, 2441, 2473, 2521, 2617, 2633, 2713

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

nonn

A prime of the form 16n+9 is represented by exactly one of x^2 + 32y^2 and x^2 + 64y^2 (see Kaplanski link). - Michel Marcus, Dec 23 2012

T. D. Noe, Table of n, a(n) for n = 1..1000
Irving Kaplansky, The forms x+32y^2 and x+64y^2, Proc. Amer. Math. Soc. 131 (2003), 2299-2300

Cf. A002145, A007521, A105127-A105132.

M:=500; f:=proc(n) local t1,t2; t1:=[]; for k from 0 to M do t2:=2^n*k+2^(n-1)+1; if isprime(t2) then t1:=[op(t1),t2]; fi; od; t1; end; f(4);

lst={};Do[p=16*n+9;If[PrimeQ[p],AppendTo[lst,p]],{n,0,3*5!,1}];lst (* Vladimir Joseph Stephan Orlovsky, Jan 27 2009 *)

select(n->n%16==9, primes(500)) \\ Charles R Greathouse IV, Apr 29 2015

A105133 Numbers n such that 8n + 5 is prime.

Original entry on oeis.org

0, 1, 3, 4, 6, 7, 12, 13, 18, 19, 21, 22, 24, 28, 33, 34, 36, 39, 43, 46, 48, 49, 52, 57, 63, 67, 69, 76, 81, 82, 84, 87, 88, 91, 94, 96, 99, 102, 103, 106, 109, 117, 124, 126, 127, 132, 133, 136, 138, 139, 147, 151, 153, 154, 159, 162, 171, 172, 178, 181, 186, 193, 199, 201, 202

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A095278, A105134-A105140, A002145, A007521, A105126-A105132.

[n: n in [0..500] | IsPrime(8*n+5)];  // Vincenzo Librandi, Jan 07 2013

M:=500; f:=proc(n) local t1,t2; t1:=[]; for k from 0 to M do t2:=2^n*k+2^(n-1)+1; if isprime(t2) then t1:=[op(t1),k]; fi; od; t1; end; f(3);

Select[Range[0, 300], PrimeQ[8 # + 5]&] (* Vincenzo Librandi, Jan 07 2013 *)

is(n)=isprime(8*n+5) \\ Charles R Greathouse IV, Feb 17 2017

a(n) = (A007521(n)-5)/8. - Zak Seidov, Sep 08 2015

A105140 Numbers n such that 1024n+513 is prime.

Original entry on oeis.org

7, 10, 11, 17, 22, 25, 31, 35, 44, 50, 65, 74, 79, 82, 85, 94, 100, 109, 110, 112, 115, 116, 122, 130, 140, 149, 151, 154, 155, 157, 164, 166, 172, 179, 206, 211, 214, 215, 221, 227, 229, 232, 245, 254, 256, 259, 269, 271, 277, 280, 281, 292, 295, 296, 299, 316, 322, 332

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A095278, A105133-A105139, A002145, A007521, A105126-A105132.

[n: n in [0..350] | IsPrime(1024*n + 513)]; // Vincenzo Librandi, Jan 08 2013

Select[Range[0, 500], PrimeQ[1024 # + 513]&] (* Vincenzo Librandi, Jan 08 2013 *)

is(n)=isprime(1024*n+513) \\ Charles R Greathouse IV, Feb 17 2017

A105131 Primes of the form 512n+257.

Original entry on oeis.org

257, 769, 3329, 7937, 9473, 14081, 14593, 22273, 23297, 26881, 30977, 31489, 36097, 37633, 40193, 41729, 43777, 46337, 49409, 49921, 57089, 57601, 60161, 70913, 75521, 77569, 78593, 84737, 88321, 91393, 96001, 98561, 100609, 103681, 106753, 107777

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A002145, A007521, A105126-A105132.

[ a: n in [0..210] | IsPrime(a) where a is 512*n+257 ]; // Vincenzo Librandi, Jul 19 2012

Select[Table[512*n+257,{n,0,800}],PrimeQ] (* Vincenzo Librandi, Jul 19 2012 *)

A105127 Primes of the form 32n+17.

Original entry on oeis.org

17, 113, 241, 337, 401, 433, 593, 881, 977, 1009, 1201, 1297, 1361, 1489, 1553, 1777, 1873, 2129, 2161, 2417, 2609, 2801, 2833, 2897, 3089, 3121, 3217, 3313, 3697, 3761, 3793, 3889, 4049, 4177, 4241, 4273, 4337, 4561, 4657, 4721, 4817, 5009, 5233, 5297

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A002145, A007521, A105126-A105132.

[ a: n in [0..200] | IsPrime(a) where a is 32*n+17 ]; // Vincenzo Librandi, Jul 19 2012

Select[Range[17,20000,32],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 02 2011 *)
Select[Table[32*n+17,{n,0,700}],PrimeQ] (* Vincenzo Librandi, Jul 19 2012 *)

A105129 Primes of the form 128n+65.

Original entry on oeis.org

193, 449, 577, 1217, 1601, 2113, 2753, 3137, 4289, 4673, 4801, 5441, 5569, 5953, 6337, 6977, 7489, 7873, 8513, 8641, 9281, 10177, 10433, 11329, 11969, 12097, 13121, 13249, 13633, 14401, 14657, 15809, 15937, 16193, 17729, 19009, 19777, 20161, 20929, 21313

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A002145, A007521, A105126-A105132.

[ a: n in [0..200] | IsPrime(a) where a is 128*n+65 ]; // Vincenzo Librandi, Jul 19 2012

Select[128*Range[0,200]+65,PrimeQ] (* Harvey P. Dale, Apr 17 2012 *)
Select[Table[128*n+65,{n,0,700}],PrimeQ] (* Vincenzo Librandi, Jul 19 2012 *)

A105128 Primes of the form 64n+33.

Original entry on oeis.org

97, 353, 673, 929, 1249, 1697, 1889, 2017, 2081, 2273, 2593, 2657, 3041, 3169, 3361, 3617, 4001, 4129, 4513, 5153, 5281, 5857, 6113, 6689, 7393, 7457, 7649, 7841, 8161, 8353, 8609, 8737, 8929, 9377, 9697, 10273, 10337, 10529, 10657, 11489, 11617, 11681

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A002145, A007521, A105126-A105132.

[ a: n in [0..200] | IsPrime(a) where a is 64*n+33]; // Vincenzo Librandi, Jul 19 2012

Select[Table[64*n+33,{n,0,700}],PrimeQ] (* Vincenzo Librandi, Jul 19 2012 *)

A105130 Primes of the form 256n+129.

Original entry on oeis.org

641, 1153, 1409, 2689, 3457, 4481, 4993, 6529, 7297, 9601, 9857, 10369, 11393, 12161, 13441, 13697, 15233, 16001, 18049, 19073, 19841, 20353, 21121, 21377, 26497, 28289, 29569, 30593, 31873, 33409, 35201, 35969, 38273, 39041, 40577, 43649, 44417, 45697

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A002145, A007521, A105126-A105132.

[ a: n in [0..200] | IsPrime(a) where a is 256*n+129 ]; // Vincenzo Librandi, Jul 19 2012

Select[Table[256*n+129,{n,0,700}],PrimeQ] (* Vincenzo Librandi, Jul 19 2012 *)

A105134 Numbers n such that 16n+9 is prime.

Original entry on oeis.org

2, 4, 5, 8, 14, 17, 19, 25, 28, 32, 35, 37, 38, 47, 50, 53, 58, 59, 64, 65, 68, 70, 74, 80, 82, 89, 92, 100, 103, 107, 109, 112, 119, 124, 130, 133, 134, 142, 143, 148, 149, 152, 154, 157, 163, 164, 169, 170, 173, 178, 184, 185, 187, 190, 200, 203, 214, 215, 220, 224, 229

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A095278, A105133-A105140, A002145, A007521, A105126-A105132.

[n: n in [0..500] | IsPrime(16*n+9)]; // Vincenzo Librandi, Jan 07 2013

Select[Range[0, 500], PrimeQ[16 # + 9]&] (* Vincenzo Librandi, Jan 07 2013 *)

is(n)=isprime(16*n+9) \\ Charles R Greathouse IV, Jun 06 2017

A105138 Numbers n such that 256n+129 is prime.

Original entry on oeis.org

2, 4, 5, 10, 13, 17, 19, 25, 28, 37, 38, 40, 44, 47, 52, 53, 59, 62, 70, 74, 77, 79, 82, 83, 103, 110, 115, 119, 124, 130, 137, 140, 149, 152, 158, 170, 173, 178, 179, 193, 200, 205, 208, 209, 212, 217, 230, 235, 238, 242, 247, 248, 257, 268, 269, 272, 275, 280, 283, 299, 307

Offset: 1

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

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

Cf. A095278, A105133-A105140, A002145, A007521, A105126-A105132.

[n: n in [0..350] | IsPrime(256*n+129)]; // Vincenzo Librandi, Jan 08 2013

Select[Range[0, 500], PrimeQ[256 # + 129]&] (* Vincenzo Librandi, Jan 08 2013 *)

is(n)=isprime(256*n+129) \\ Charles R Greathouse IV, Jun 12 2017

cp's OEIS Frontend

A105126 Primes of the form 16n+9.

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A105133 Numbers n such that 8n + 5 is prime.

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Magma

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A105140 Numbers n such that 1024n+513 is prime.

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Magma

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A105131 Primes of the form 512n+257.

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Magma

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A105127 Primes of the form 32n+17.

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Magma

Mathematica

A105129 Primes of the form 128n+65.

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Magma

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A105128 Primes of the form 64n+33.

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Magma

Mathematica

A105130 Primes of the form 256n+129.

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Magma

Mathematica

A105134 Numbers n such that 16n+9 is prime.