cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A106125 Numbers k such that k divides the k-th semiprime.

Original entry on oeis.org

1, 2, 3, 7, 11, 43, 53, 613367, 613439, 613451, 613523, 613549, 613609, 6384425461, 6384425521, 6384425569, 6384425647
Offset: 1

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Author

Shyam Sunder Gupta, May 07 2005

Keywords

Comments

Note that except 1, all other term in the sequence will be primes.
a(18) > 10^12. - Lucas A. Brown, Oct 17 2020

Examples

			a(4)=7 is a term because 7 divides the 7th semiprime (i.e., 21).
		

Crossrefs

Extensions

a(14)-a(17) from Donovan Johnson, Sep 27 2010

A357741 Semiprimes k such that k is divisible by its index in the sequence of semiprimes.

Original entry on oeis.org

4, 6, 9, 21, 33, 129, 159, 3066835, 3067195, 3067255, 3067615, 3067745, 3068045, 44690978227, 44690978647, 44690978983, 44690979529
Offset: 1

Views

Author

Lucas A. Brown, Oct 13 2022

Keywords

Comments

No further terms <= 8040423200947. - Lucas A. Brown, Oct 13 2022
Conjecture: a(18) > 10^17. - Martin Ehrenstein, Oct 28 2022

Examples

			The 1st semiprime is 4, which is divisible by 1, so 4 is in the sequence.
The 4th semiprime is 10, which is not divisible by 4, so 10 is not in the sequence.
The 7th semiprime is 21, which is divisible by 7, so 21 is in the sequence.
		

Crossrefs

Formula

a(n) = A001358(A106125(n))
Showing 1-2 of 2 results.