

A306497


Abundant numbers that differ from the next abundant number by 5.


3



5391411025, 26957055120, 28816162375, 33426748350, 34393484125, 37739877175, 40342627320, 48150877770, 50866790970, 53356378075, 59305521270, 60711976320, 61164628525, 63395557225, 64899009175, 67275433225, 70088343325, 74922022170, 75665665075, 76781129425
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OFFSET

1,1


COMMENTS

Since all multiples of 6 are abundant, numbers in this sequence have to be abundant numbers of the form 6n or 6n + 1. Most common difference between abundant numbers is 6, followed by 2, 4, 3, 1. 5 is the least common.


LINKS

David A. Corneth, Table of n, a(n) for n = 1..10000


FORMULA

Either a(n) or a(n)+5 are in A115414.  Amiram Eldar, Jul 16 2019


EXAMPLE

a(1) = 5391411025 is in the sequence since it is abundant and the next abundant number is 5391411030 which is a(1)+5 and all the numbers in between are deficient.


PROG

(PARI) isok(n) = for(k=1, 4, if(sigma(n+k) > 2*(n+k), return(0))); (sigma(n) > 2*n) && (sigma(n+5) > 2*(n+5)); \\ Daniel Suteu, Jul 24 2019


CROSSREFS

Cf. A005101, A096399, A231086, A228382, A316098, A316099, A115414, A125115.
Sequence in context: A321497 A335084 A133688 * A115414 A358412 A112430
Adjacent sequences: A306494 A306495 A306496 * A306498 A306499 A306500


KEYWORD

nonn


AUTHOR

Sergio Pimentel, Feb 19 2019


EXTENSIONS

More terms from Amiram Eldar, Jul 16 2019


STATUS

approved



