A354444 Least initial term of a set of n consecutive primes {p_1 .. p_n} such that Sum_{k=p_1..p_2} d(k) = ... = Sum_{k=p_(n-1)..p_n} d(k), where d(k) is the number of divisors function A000005.

1867, 105373, 238820129, 106695130613

Offset

3,1

Comments

It doesn't matter if the primes are included in the sums or excluded as long as the symmetry is taken into account (d(prime) is always 2).

Links

Table of n, a(n) for n=3..6.

Example

a(3) = 1867 = prevprime(A353552(1));
a(4) = 105373 = A353553(1);
a(5) = 238820129 = A353554(1).

Crossrefs

Cf. A000005, A000040, A133760, A353552, A353553, A353554.

Sequence in context: A023744 A054816 A052168 * A237152 A306864 A306877

Adjacent sequences: A354441 A354442 A354443 * A354445 A354446 A354447

Keyword

nonn,hard,more

Author

Karl-Heinz Hofmann, May 27 2022

Status

approved