A114057 -id:A114057 - cp's OEIS frontend

A349995 Record gaps between odd squarefree semiprimes (A046388).

6, 12, 16, 20, 22, 24, 26, 28, 32, 36, 38, 40, 44, 50, 52, 60, 64, 70, 74, 84, 90, 92, 100, 102, 116, 118, 120, 132, 136, 138, 140, 142, 146, 152, 154, 156, 164, 170, 184, 186, 210

Offset: 1

Hugo Pfoertner, Dec 25 2021

			  n  A350098(n)  A350099(n)  a(n)
  1      15          21        6
  2      21          33       12
  3      95         111       16
  4     267         287       20
  5    2369        2391       22

Lucas A. Brown, Python program.

Records in A341828.
Cf. A350098 lower ends of the record gaps, A350099 upper ends of the record gaps.
Cf. A000101, A002386, A005250, A085809, A114057.

a(35)-a(41) from Lucas A. Brown, Feb 29 2024

A350098 a(n) is the lower end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388).

Original entry on oeis.org

15, 21, 95, 267, 2369, 6559, 8817, 13705, 15261, 21583, 35981, 66921, 113009, 340891, 783757, 872219, 3058853, 3586843, 5835191, 12345473, 108994623, 248706917, 268749691, 679956119, 709239621, 3648864859, 3790337723, 4171420481, 33955869693, 34279038379, 34840796369

Offset: 1

Hugo Pfoertner, Dec 26 2021

nonn

			See A349995.

Lucas A. Brown, Table of n, a(n) for n = 1..41 (first 34 terms from Hugo Pfoertner)
Lucas A. Brown, Python program.

Cf. A046388, A085809, A341828, A349995, A350099.

Starting at a(3)=95 the terms coincide with the known terms of A114057.

a(n) = A350099(n) - A349995(n).

A350099 a(n) is the upper end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388).

Original entry on oeis.org

21, 33, 111, 287, 2391, 6583, 8843, 13733, 15293, 21619, 36019, 66961, 113053, 340941, 783809, 872279, 3058917, 3586913, 5835265, 12345557, 108994713, 248707009, 268749791, 679956221, 709239737, 3648864977, 3790337843, 4171420613, 33955869829, 34279038517, 34840796509

Offset: 1

Hugo Pfoertner, Dec 26 2021

nonn

			See A349995.

Lucas A. Brown, Table of n, a(n) for n = 1..41 (first 34 terms from Hugo Pfoertner)
Lucas A. Brown, Python program.

Cf. A046388, A085809, A114057, A341828, A349995, A350098.

a(n) = A350098(n) + A349995(n).

cp's OEIS Frontend

A349995 Record gaps between odd squarefree semiprimes (A046388).

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A350098 a(n) is the lower end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388).

Views

Author

Keywords

Examples

Links

Crossrefs

Formula

A350099 a(n) is the upper end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388).

Views

Author

Keywords

Examples

Links

Crossrefs

Formula