A135982 -id:A135982 - cp's OEIS frontend

A135659 a(n) = 24*n + 7.

7, 31, 55, 79, 103, 127, 151, 175, 199, 223, 247, 271, 295, 319, 343, 367, 391, 415, 439, 463, 487, 511, 535, 559, 583, 607, 631, 655, 679, 703, 727, 751, 775, 799, 823, 847, 871, 895, 919, 943, 967, 991, 1015, 1039, 1063, 1087, 1111, 1135, 1159, 1183, 1207

Offset: 0

Artur Jasinski, Nov 25 2007

Conjecture: All Mersenne Primes (A000668) > 3 are in this sequence.

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A107006, A124477, A135657, A135982.

Table[24n + 7, {n, 0, 100}]
LinearRecurrence[{2,-1},{7,31},60] (* Harvey P. Dale, Jul 14 2013 *)

From Colin Barker, Apr 02 2012: (Start)
a(n) = 2*a(n-1) - a(n-2).
G.f.: (7+17*x)/(1-x)^2. (End)
E.g.f.: (7 + 24*x)*exp(x). - G. C. Greubel, Oct 25 2016

Offset changed to 0 by Omar E. Pol, Oct 25 2016

A135983 a(n)=2^A107006(n)-1.

Original entry on oeis.org

127, 2147483647, 604462909807314587353087, 10141204801825835211973625643007, 170141183460469231731687303715884105727, 2854495385411919762116571938898990272765493247

Offset: 1

Artur Jasinski, Dec 09 2007

nonn

A107006(n) are successive primes of the form 24n+7.

Cf. A107006, A124477, A135657, A135982.

p = Select[24*Range[0, 20] + 7, PrimeQ]; 2^p - 1

A135984 a(n) = 24(prime(n))+7.

Original entry on oeis.org

55, 79, 127, 175, 271, 319, 415, 463, 559, 703, 751, 895, 991, 1039, 1135, 1279, 1423, 1471, 1615, 1711, 1759, 1903, 1999, 2143, 2335, 2431, 2479, 2575, 2623, 2719, 3055, 3151, 3295, 3343, 3583, 3631, 3775, 3919, 4015, 4159, 4303, 4351, 4591, 4639, 4735

Offset: 1

Artur Jasinski, Dec 09 2007

nonn

Cf. A107006, A124477, A135657, A135982, A135983.

Mathematica
```
Table[24*Prime[n] + 7, {n, 1, 100}]
```

A135985 Prime numbers of the form 24*p + 7 where p is prime.

Original entry on oeis.org

79, 127, 271, 463, 751, 991, 1039, 1279, 1423, 1471, 1759, 1999, 2143, 2719, 3343, 3583, 3631, 3919, 4159, 4591, 4639, 4783, 5503, 5743, 5791, 7039, 7951, 8623, 9103, 9199, 9343, 9631, 10111, 10399, 10639, 11071, 11119, 11503, 12511

Offset: 1

Artur Jasinski, Dec 09 2007

nonn

Robert Israel, Table of n, a(n) for n = 1..10000

Cf. A107006, A124477, A135657, A135982, A135983, A135984.

select(t -> isprime(t) and isprime((t-7)/24), [seq(p,p=7..20000,24)]); # Robert Israel, Oct 16 2018

a = {}; Do[If[PrimeQ[24(Prime[n]) + 7], AppendTo[a, 24(Prime[n]) + 7]], {n, 1, 100}]; a

cp's OEIS Frontend

A135659 a(n) = 24*n + 7.

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A135983 a(n)=2^A107006(n)-1.

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A135984 a(n) = 24(prime(n))+7.

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A135985 Prime numbers of the form 24*p + 7 where p is prime.

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