A136051 -id:A136051 - cp's OEIS frontend

A136052 Daughter primes of order 3.

5, 7, 11, 17, 19, 29, 31, 41, 61, 67, 71, 79, 89, 97, 101, 107, 109, 127, 131, 137, 139, 151, 157, 167, 197, 211, 227, 229, 239, 269, 277, 307, 317, 331, 347, 349, 379, 401, 409, 419, 431, 439, 449, 461, 479, 509, 547, 601, 607, 619, 641, 647, 661, 677, 691

Offset: 1

Artur Jasinski, Dec 12 2007

For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For smallest daughter primes of order n see A136019 (also definition)

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

Cf. A088878, A091180, A136019, A136020, A136052, A136053, A136054, A136055, A136056, A136057, A136058, A136059, A136060.

n = 3; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A136053 Daughter primes of order 4.

Original entry on oeis.org

3, 5, 13, 19, 23, 31, 43, 59, 61, 71, 83, 103, 113, 131, 163, 173, 181, 199, 223, 229, 233, 239, 241, 251, 281, 283, 311, 331, 353, 409, 433, 439, 463, 499, 503, 541, 563, 569, 619, 643, 653, 659, 691, 701, 709, 743, 761, 773, 853, 859, 863, 911, 919, 929, 941

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136054, A136055, A136056, A136057, A136058, A136059, A136060.

n = 4; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A136054 Daughter primes of order 5.

Original entry on oeis.org

3, 7, 19, 31, 37, 43, 61, 67, 79, 103, 163, 193, 199, 211, 271, 277, 313, 331, 337, 367, 373, 379, 397, 421, 487, 499, 523, 547, 571, 577, 613, 673, 691, 709, 733, 757, 787, 823, 829, 859, 907, 919, 967, 991, 997, 1033, 1051, 1117, 1123, 1129, 1237, 1249

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136055, A136056, A136057, A136058, A136059, A136060.

n = 5; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A136055 Daughter primes of order 6.

Original entry on oeis.org

5, 7, 11, 13, 41, 43, 47, 53, 67, 71, 73, 97, 101, 103, 151, 157, 173, 181, 197, 211, 223, 227, 241, 251, 257, 263, 271, 293, 313, 367, 383, 431, 461, 463, 521, 557, 563, 571, 577, 607, 617, 631, 661, 673, 683, 691, 727, 757, 773, 811, 823, 827, 883, 887, 907

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053. For daughter primes of order 5 see A136054.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136054, A136056, A136057, A136058, A136059, A136060.

n = 6; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a
Select[(Prime[Range[2000]]+12)/13,PrimeQ] (* Harvey P. Dale, May 27 2012 *)

A136056 Daughter primes of order 7.

Original entry on oeis.org

3, 5, 11, 13, 17, 19, 23, 29, 37, 41, 43, 47, 67, 71, 79, 83, 89, 103, 109, 131, 149, 151, 157, 179, 191, 199, 223, 227, 239, 263, 269, 271, 281, 283, 307, 311, 331, 353, 373, 389, 409, 419, 421, 431, 433, 439, 457, 467, 491, 509, 541, 547, 563, 569, 577, 599

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053. For daughter primes of order 5 see A136054. For daughter primes of order 6 see A136055.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136054, A136055, A136057, A136058, A136059, A136060.

n = 7; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A136057 Daughter primes of order 8.

Original entry on oeis.org

7, 19, 37, 61, 67, 79, 127, 139, 151, 181, 211, 229, 271, 379, 397, 457, 487, 499, 541, 547, 607, 631, 691, 709, 727, 739, 757, 919, 937, 991, 1009, 1021, 1051, 1117, 1171, 1237, 1279, 1321, 1327, 1399, 1549, 1609, 1621, 1699, 1741, 1747, 1867, 1951, 1999

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053. For daughter primes of order 5 see A136054. For daughter primes of order 6 see A136055 Daughter primes of order 7 see A136056.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136054, A136055, A136056, A136058, A136059, A136060.

n = 8; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A136058 Daughter primes of order 9.

Original entry on oeis.org

11, 13, 23, 31, 41, 59, 79, 83, 101, 109, 113, 151, 163, 223, 233, 239, 241, 251, 331, 353, 359, 373, 409, 431, 433, 449, 461, 463, 491, 499, 503, 571, 619, 631, 641, 659, 661, 683, 751, 769, 773, 811, 821, 823, 829, 839, 853, 883, 911, 919, 953, 1021, 1031

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053. For daughter primes of order 5 see A136054. For daughter primes of order 6 see A136055. For daughter primes of order 7 see A136056. For daughter primes of order 8 see A136057.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136054, A136055, A136056, A136057, A136059, A136060.

n = 9; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A136059 Daughter primes of order 10.

Original entry on oeis.org

3, 7, 11, 17, 19, 23, 31, 37, 43, 47, 53, 71, 83, 97, 103, 109, 127, 131, 137, 149, 173, 179, 199, 223, 229, 239, 263, 281, 283, 293, 307, 313, 317, 337, 349, 353, 367, 397, 419, 421, 439, 443, 461, 467, 479, 499, 547, 557, 571, 577, 593, 601, 613, 619, 641

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053. For daughter primes of order 5 see A136054. For daughter primes of order 6 see A136055. For daughter primes of order 7 see A136056. For daughter primes of order 8 see A136057. For daughter primes of order 9 see A136058.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136054, A136055, A136056, A136057, A136058, A136060.

n = 10; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A136060 Daughter primes of order 11.

Original entry on oeis.org

3, 7, 13, 31, 37, 43, 61, 73, 103, 163, 211, 223, 241, 271, 307, 313, 331, 367, 397, 421, 463, 523, 541, 577, 643, 727, 757, 853, 877, 883, 937, 1051, 1087, 1093, 1153, 1237, 1291, 1303, 1381, 1423, 1471, 1597, 1693, 1723, 1777, 1951, 1993, 2131, 2161, 2203

Offset: 1

Artur Jasinski, Dec 12 2007

nonn

For smallest daughter primes of order n see A136019 (also definition). For daughter primes of order 1 see A088878. For daughter primes of order 2 see A136051. For daughter primes of order 3 see A136052. For daughter primes of order 4 see A136053. For daughter primes of order 5 see A136054. For daughter primes of order 6 see A136055. For daughter primes of order 7 see A136056. For daughter primes of order 8 see A136057. For daughter primes of order 9 see A136058. For daughter primes of order 10 see A136059.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A088878, A091180, A136019, A136020, A136051, A136052, A136053, A136054, A136055, A136056, A136057, A136058, A136059.

n = 11; a = {}; Do[If[PrimeQ[(Prime[k] + 2n)/(2n + 1)], AppendTo[a, (Prime[k] + 2n)/(2n + 1)]], {k, 1, 1500}]; a

A289556 Primes p such that both 5p - 4 and 4p - 5 are prime.

Original entry on oeis.org

3, 7, 13, 43, 67, 109, 127, 151, 163, 211, 277, 307, 373, 457, 463, 601, 613, 673, 727, 853, 919, 967, 1021, 1117, 1171, 1231, 1399, 1471, 1483, 1747, 1789, 1933, 2029, 2251, 2311, 2389, 2503, 2521, 2557, 2659, 2851, 2857, 3019, 3067, 3121, 3229, 3583, 3613, 3637, 3691, 3697

Offset: 1

David James Sycamore, Aug 02 2017

nonn

The terms of this sequence belong to two disjoint subsequences, namely those for which |A(5*p) - A(4*p)| = 9; (3,7,13,43,67,127,163,211,277,307,457,...), and those for which 5*A(4*p) - 3*A(5*p) = 3, (109,151,373,673,919,...), where A = A288814.

Note: A288814(n) = A056240(n) for all composite n.

			P=7: 5*7 - 4 = 31, 4*7 - 5 = 23, both prime so 7 is in this sequence, and belongs to the subsequence of terms satisfying A(4*p) - A(3*p) = 9.
P=109: 5*109 - 4 = 541, 4*109 - 5 = 431, both prime so 109 is in this sequence, and belongs to the subsequence of terms satisfying 5*A(4*p) - 3*A(5*p) = 3.

Cf. A259730, A288814, A290163, A290164, A056240.

Intersection of A136051 and A156300. - Michel Marcus, Aug 04 2017

Select[Prime@ Range@ 516, Times @@ Boole@ Map[PrimeQ, {5 # - 4, 4 # - 5}] > 0 &] (* Michael De Vlieger, Aug 02 2017 *)

More terms from Altug Alkan, Aug 02 2017

cp's OEIS Frontend

A136052 Daughter primes of order 3.

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A136053 Daughter primes of order 4.

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A136054 Daughter primes of order 5.

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A136055 Daughter primes of order 6.

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A136056 Daughter primes of order 7.

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A136057 Daughter primes of order 8.

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A136058 Daughter primes of order 9.

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A136059 Daughter primes of order 10.

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A136060 Daughter primes of order 11.

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A289556 Primes p such that both 5p - 4 and 4p - 5 are prime.