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.

A152114 Numbers a(n) are obtained by the application of an algorithm which is similar to sieve of Eratosthenes for A000045: retaining A000045(3)=2, we delete all multiples of 2, which are more than 2; retaining A000045(4)=3, we delete all multiples of 3, which are more than 3, etc.

Original entry on oeis.org

2, 3, 5, 13, 89, 233, 1597, 4181, 28657, 514229, 1346269, 24157817, 165580141, 433494437, 2971215073, 53316291173, 956722026041, 2504730781961, 44945570212853, 308061521170129, 806515533049393, 14472334024676221, 99194853094755497, 1779979416004714189
Offset: 1

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Author

Vladimir Shevelev, Nov 24 2008

Keywords

Comments

Since, as known, A000045((m,n))=(A000045(m),A000045(n)), then the indices of a(n) as terms of A000045, i.e., 3,4,5,7,11,13,..., except of 4, are the consecutive odd primes.
Apparently a variant of A030426. [From R. J. Mathar, Nov 27 2008]

Crossrefs

Extensions

a(15)-a(24) from Alois P. Heinz, Jun 27 2020