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Six consecutive integers with increasing values of sigma start at these numbers; i.e., sigma(x) < sigma(x+1) < ... < sigma(x+5).
4

%I #25 Aug 03 2017 01:43:57

%S 36721681,69514441,96375121,151676521,165370201,230678521,240103321,

%T 245370121,339063721,343388041,347425921,351676321,357081721,

%U 455460001,461586121,500865361,630955321,774378601,863747881,979521721,1019063041,1043567521,1075999921

%N Six consecutive integers with increasing values of sigma start at these numbers; i.e., sigma(x) < sigma(x+1) < ... < sigma(x+5).

%C What is the first number to start a run of exactly 5 nondecreasing values of sigma? - _M. F. Hasler_, May 06 2017

%C The first run of exactly 5 nondecreasing values starts at 356067536821, see A285893. - _Giovanni Resta_, May 07 2017

%H Donovan Johnson, <a href="/A028965/b028965.txt">Table of n, a(n) for n = 1..1000</a>

%e sigma(36721681) = 37085364 < sigma(36721682) = 55082526 < ... < sigma(36721686) = 76876128, so 36721681 is in the sequence.

%Y Cf. A000203, A285893.

%K nonn

%O 1,1

%A _Jud McCranie_, Jan 02 2000

%E Name corrected by _Harvey P. Dale_, Apr 19 2011