A376818 The smallest abundant number that begins a run of at least n consecutive abundant numbers with the same number of distinct prime factors.

12, 12, 12, 12, 114, 114, 228, 228, 228, 29862, 29862, 29862, 211398, 240456, 240456, 436830, 436830, 436830, 90193536, 90193536, 235541092572, 763920714102, 763920714102, 763920714102, 763920714102

Offset

1,1

Comments

Any further terms are > 2.2 * 10^12. - Lucas A. Brown, Nov 12 2024

Links

Table of n, a(n) for n=1..25.

Lucas A. Brown, Python program.

Example

a(6) = 114 because 114 is the smallest abundant number that begins a run of 6 consecutive abundant numbers (114, 120, 126, 132, 138, 140) with the same number of distinct prime factors, i.e. 3.
a(13) = 211398 because 211398 is the smallest abundant number that begins a run of 13 consecutive abundant numbers (211398, 211400, 211404, 211410, 211416, 211420, 211422, 211428, 211432, 211434, 211440, 211446, 211452) with the same number of distinct prime factors, i.e. 4.

Crossrefs

Cf. A001221, A005101.

Sequence in context: A113595 A109053 A186100 * A334245 A134324 A268914

Adjacent sequences: A376815 A376816 A376817 * A376819 A376820 A376821

Keyword

nonn,more,hard,changed

Author

Shyam Sunder Gupta, Oct 05 2024

Extensions

a(21)-a(25) from Lucas A. Brown, Nov 12 2024

Status

approved