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A182749
a(n) = the smallest multiple of n with n digits and exactly n divisors. a(n) = 0 if no such number exists.
3
1, 0, 0, 0, 0, 0, 0, 10000024, 100580841, 0, 25937424601, 100000000068, 0, 0, 0, 1000000000001152, 0, 100000000000000404, 0, 10000000000000000880, 0, 0, 0, 100000000000000000001184, 1000060001350013500050625, 0, 100000000015460000000597529, 1000000000000000000000022464
OFFSET
1,8
COMMENTS
Conjecture: a(n) > 0 for all nonsquarefree n except for n = 4. - Jon E. Schoenfield, Jun 01 2024
LINKS
FORMULA
A000005(a(n)) = n for a(n) > 0.
a(n) <= A182750(n).
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Nov 27 2010
EXTENSIONS
a(16), a(18), a(20) corrected by Jon E. Schoenfield, May 26 2024
a(21)-a(23) (implied by A182750) from Pontus von Brömssen, May 26 2024
a(24)-a(25) from Michael S. Branicky, May 26 2024
a(26)-a(28) from Jon E. Schoenfield, May 26 2024
STATUS
approved