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A376819
The smallest abundant number that begins a run of at least n consecutive abundant numbers with the same number of prime factors (counted with multiplicity).
0
12, 12, 12, 340, 5526, 19458, 35288, 388272, 1386008, 1386008, 147137690, 1384963218, 1887738636, 1887738636, 975153301850, 975153301850
OFFSET
1,1
COMMENTS
Any further terms are > 2.2 * 10^12. - Lucas A. Brown, Nov 12 2024
EXAMPLE
a(4) = 340 because 340 is the smallest abundant number that begins a run of 4 consecutive abundant numbers (340, 342, 348, 350) with the same number of prime factors (counted with multiplicity), i.e. 4.
a(6) = 19458 because 19458 is the smallest abundant number that begins a run of 6 consecutive abundant numbers (19458, 19460, 19464, 19470, 19476, 19480) with the same number of prime factors (counted with multiplicity), i.e. 5.
CROSSREFS
Sequence in context: A268914 A056627 A376820 * A334620 A061074 A372219
KEYWORD
nonn,more,hard
AUTHOR
Shyam Sunder Gupta, Oct 05 2024
EXTENSIONS
a(15)-a(16) from Lucas A. Brown, Nov 12 2024
STATUS
approved