A080282 Numbers n such that log(n) + log_10(n) is closer to its nearest integer than any value of log(k) + log_10(k) for 1 < = k < n.

2, 132, 264, 531, 8636, 69934, 140437, 282017, 566329, 1137266, 2283785, 4586151, 37138783, 74579724, 149766223, 603948755, 2435489735, 9821380043, 19722666141, 39605794500, 159714719422, 320728866517, 320728866518

Offset: 1

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003

Keywords

• nonn

Comments

log(320728866518) + log_10(320728866518) = 38.00000000000122913669...

Examples

			Interestingly, values of n that satisfy the criterion seem to start appearing in pairs if this sequence is extended further.
For example, the values 320728866517 and 320728866518 and later on the values 11169523543872502 and 11169523543872503. Many more of these n, n+1 pairs crop up in the sequence.
		

Crossrefs

Cf. A079490, A080052, A080279, A080280, A080281.

Extensions

More terms from Michel ten Voorde Jun 20 2003

Still more terms from Mark Hudson, Aug 26 2004