A182682 a(n) = the largest n-digit number with exactly 11 divisors, a(n) = 0 if no such number exists.

0, 0, 0, 1024, 59049, 0, 9765625, 0, 282475249, 0, 25937424601, 137858491849, 6131066257801, 41426511213649, 819628286980801, 4808584372417849, 52599132235830049, 713342911662882601, 9468276082626847201, 73742412689492826049, 339456738992222314849, 9099059901039401398249

Offset

1,4

Comments

a(n) = the largest n-digit number of the form p^10 (p = prime), a(n) = 0 if no such number exists.

Links

Table of n, a(n) for n=1..22.

Formula

A000005(a(n)) = 11.

a(n) >= A182681(n).

Crossrefs

Cf. A030629, A182681.

Sequence in context: A264205 A321834 A182681 * A305941 A351198 A195250

Adjacent sequences: A182679 A182680 A182681 * A182683 A182684 A182685

Keyword

nonn,base

Author

Jaroslav Krizek, Nov 27 2010

Status

approved