A178810 Largest possible number of consecutive integers with the same prime signature as A025487(n).

1, 2, 1, 3, 1, 5, 1, 3, 3, 1, 1, 3, 7, 1

Offset: 1

Author

Will Nicholes, Jun 16 2010

Keywords

• more
• nonn

Comments

The corresponding smallest integers that begin these largest runs of consecutive integers are in A178811. - Bernard Schott, Feb 16 2021

a(16) = 3 (see A178811). - Jon E. Schoenfield, Dec 02 2023

Examples

			A025487(2) = 2, prime signature {1}. There are a maximum of 2 consecutive integers with that prime signature: 2 and 3.
A025487(4) = 6, prime signature {1,1}. There are a maximum of 3 consecutive integers with that prime signature (e.g., 33, 34 and 35).
A025487(6) = 12, prime signature {1,2}. There are a maximum of 5 consecutive integers with that prime signature (e.g., 10093613546512321, 10093613546512322, 10093613546512323, 10093613546512324, and 10093613546512325). Compare A141621.
A025487(13) = 60, prime signature {1,1,2}. There are a maximum of 7 possible consecutive integers, between two multiples of 8, with that prime signature; the smallest such run starts at 932537185321. - _Bernard Schott_, Feb 16 2021
		

Links

• Diophante, A1845, Les squelettes (in French).

Crossrefs

Cf. A025487, A141621, A178811.

Extensions

Minor edits by Ray Chandler, Jul 29 2010

a(6) corrected by Bobby Jacobs, Sep 25 2016

a(12)-a(14) from Bernard Schott, Feb 16 2021