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Revision History for A353540 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
Starts of runs of 4 consecutive numbers whose abundancy index is larger than Pi^2/6.
(history; published version)
#10 by Michel Marcus at Tue Apr 26 04:45:25 EDT 2022
STATUS

reviewed

approved

#9 by Hugo Pfoertner at Tue Apr 26 04:44:48 EDT 2022
STATUS

proposed

reviewed

#8 by Amiram Eldar at Tue Apr 26 04:20:46 EDT 2022
STATUS

editing

proposed

#7 by Amiram Eldar at Tue Apr 26 04:18:22 EDT 2022
LINKS

Amiram Eldar, <a href="/A353540/b353540.txt">Table of n, a(n) for n = 1..835</a> (terms below 10^10)

#6 by Amiram Eldar at Tue Apr 26 04:17:55 EDT 2022
LINKS

Amiram Eldar, <a href="/A353540/b353540.txt">Table of n, a(n) for n = 1..835</a>

STATUS

approved

editing

#5 by Michel Marcus at Tue Apr 26 03:33:22 EDT 2022
STATUS

reviewed

approved

#4 by Joerg Arndt at Tue Apr 26 03:07:39 EDT 2022
STATUS

proposed

reviewed

#3 by Amiram Eldar at Mon Apr 25 03:28:04 EDT 2022
STATUS

editing

proposed

#2 by Amiram Eldar at Mon Apr 25 03:11:47 EDT 2022
NAME

allocated for Amiram EldarStarts of runs of 4 consecutive numbers whose abundancy index is larger than Pi^2/6.

DATA

8110374, 9154143, 39637323, 54957174, 78219294, 98759814, 111713874, 113603874, 118703583, 141708174, 142339923, 147934323, 165767874, 169846983, 173894874, 198219174, 222002934, 234435354, 250429023, 266664123, 269371374, 270969543, 302704674, 312610023, 315474003

OFFSET

1,1

EXAMPLE

8110374 is a term since sigma(8110374)/8110374 = 2.048..., sigma(8110375)/8110375 = 1.654..., sigma(8110376)/8110376 = 1.906... and sigma(8110377)/8110377 = 1.717... are all larger than Pi^2/6 = 1.644... .

CROSSREFS

Cf. A000203, A013661.

Subsequence of A353537, A353538 and A353539.

A353541 is a subsequence.

KEYWORD

allocated

nonn

AUTHOR

Amiram Eldar, Apr 25 2022

STATUS

approved

editing

#1 by Amiram Eldar at Mon Apr 25 02:55:24 EDT 2022
NAME

allocated for Amiram Eldar

KEYWORD

allocated

STATUS

approved