A378689 Number of divisors of prime(4*n+8) + 2*n + 3.

8, 12, 10, 9, 16, 4, 16, 14, 4, 8, 16, 8, 8, 12, 8, 4, 24, 14, 8, 12, 6, 12, 8, 12, 8, 6, 4, 4, 16, 8, 8, 12, 4, 4, 16, 6, 12, 24, 6, 32, 8, 10, 8, 24, 14, 8, 16, 4, 24, 24, 8, 24, 16, 8, 10, 4, 6, 8, 8, 12, 4, 12, 8, 24, 12, 4, 32, 24, 16, 12, 24, 10, 16, 8, 4

Offset

1,1

Links

Table of n, a(n) for n=1..75.

Example

For n=1, 42 has a(1) = 8 divisors.

Mathematica

Table[DivisorSigma[0, (2*n+3+Prime[4*n+8])], {n, 1, 100}]

Prog

(Magma) [NumberOfDivisors(NthPrime(4*n+8)+(2*n+3)) : n in [1..500]];

Crossrefs

Cf. A000005, A378569.

Sequence in context: A215696 A325809 A173461 * A335160 A295782 A331801

Adjacent sequences: A378686 A378687 A378688 * A378690 A378691 A378692

Keyword

nonn,new

Author

Vincenzo Librandi, Dec 09 2024

Status

approved