A131210 -id:A131210 - cp's OEIS frontend

A134517 Primes of the form 24*k - 1.

23, 47, 71, 167, 191, 239, 263, 311, 359, 383, 431, 479, 503, 599, 647, 719, 743, 839, 863, 887, 911, 983, 1031, 1103, 1151, 1223, 1319, 1367, 1439, 1487, 1511, 1559, 1583, 1607, 1823, 1847, 1871, 2039, 2063, 2087, 2111, 2207, 2351, 2399, 2423, 2447, 2543

Offset: 1

Zak Seidov, Oct 29 2007

nonn

Corresponding values of k are in A131210.
Is this the same sequence as A141376?
Primes in A183010. - Omar E. Pol, Oct 08 2011
Inert rational primes in the fields Q(sqrt(-1)), Q(sqrt(-2)), Q(sqrt(-3)). - Eyal Gruss, Nov 30 2022

Muniru A Asiru, Table of n, a(n) for n = 1..5000

Cf. A131210, A183010.

Intersection of A002145, A003627, A045355.

Filtered(List([1..120],n->24*n-1),IsPrime); # Muniru A Asiru, Mar 04 2018

select(isprime,[seq(24*n-1,n=1..120)]); # Muniru A Asiru, Mar 04 2018

Select[Prime[Range[1000]],Mod[ #,24]==23&]
Select[24*Range[200]-1,PrimeQ] (* Harvey P. Dale, Jun 17 2018 *)

lista(nn) = for(k=1, nn, if(isprime(p=24*k-1), print1(p", "))) \\ Altug Alkan, Mar 04 2018

a(n) = A183010(A131210(n)). - Omar E. Pol, Nov 04 2017

A291900 Sum of the divisors of 24*n - 1, divided by 24, minus n.

Original entry on oeis.org

0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 3, 0, 0, 2, 0, 9, 0, 0, 2, 2, 7, 0, 4, 0, 3, 6, 0, 0, 3, 5, 7, 0, 0, 0, 0, 15, 6, 0, 3, 0, 9, 4, 0, 10, 0, 13, 5, 0, 3, 3, 22, 0, 4, 0, 5, 12, 0, 19, 0, 0, 13, 0, 0, 0, 10, 14, 4, 6, 7, 5, 19, 11, 0, 0, 0, 16, 5, 4, 12, 8, 28, 0, 0, 0, 0, 35, 6, 4, 0, 5, 32, 4, 18, 8, 0, 31, 0

Offset: 1

Omar E. Pol, Nov 02 2017

The indices of the zeros give A131210.

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

Cf. A000203, A008606, A086463, A131210, A134517, A183010, A183011, A280097, A280098, A294614.

a[n_] := DivisorSigma[1, 24 n - 1]/24 - n; Array[a, 90] (* Robert G. Wilson v, Nov 04 2017 *)

a(n) = sigma(24*n-1)/24 - n; \\ Michel Marcus, Nov 04 2017

a(n) = sigma(24*n-1)/24 - n = A000203(A183010(n))/24 - n = A280097(n)/24 - n = A280098(n) - n.

Sum_{k=1..n} a(k) = c * n^2 + O(n*log(n)), where c = Pi^2/18 - 1/2 = 0.048311... . - Amiram Eldar, Mar 28 2024

A139527 Numbers n such that numbers 24n+5 are primes.

Original entry on oeis.org

0, 1, 2, 4, 6, 7, 8, 11, 12, 13, 16, 19, 21, 23, 27, 28, 29, 32, 33, 34, 39, 42, 44, 46, 49, 51, 53, 54, 57, 62, 67, 68, 71, 72, 78, 79, 81, 82, 83, 86, 89, 92, 93, 96, 97, 98, 99, 103, 106, 109, 112, 114, 116, 118, 119, 121, 123, 134, 141, 142, 144, 147, 148, 149, 153, 154

Offset: 1

Artur Jasinski, Apr 25 2008

nonn

Numbers n such that:
24n+1 is prime see A111174, primes 24n+1 see A107008
24n+5 is prime see A139527, primes 24n+5 see A107003
24n+7 is prime see A139483, primes 24n+7 see A107006
24n+11 is prime A139528, primes 24n+11 see A107007
24n+13 is prime see A139529, primes 24n+13 see A139530
24n+17 is prime see A139531, primes 24n+17 see A107181
24n+19 is prime see A139532, primes 24n+19 see A141373
24n+23 is prime see A131210, primes 24n+23 see A134517

Harvey P. Dale, Table of n, a(n) for n = 1..1000

a = {}; Do[If[PrimeQ[24 n + 5], AppendTo[a, n]], {n, 0, 200}]; a
Select[Table[(Prime[n]-5)/24,{n,800}],IntegerQ] (* Harvey P. Dale, Feb 25 2016 *)

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A134517 Primes of the form 24*k - 1.

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A291900 Sum of the divisors of 24*n - 1, divided by 24, minus n.

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A139527 Numbers n such that numbers 24n+5 are primes.

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