

A348698


Integers m such that sigma(m) + sigma(m+1) + sigma(m+2)  sigma(m+3) <= 0, where sigma is the sum of divisors.


2



10077, 15117, 20157, 25197, 27717, 37797, 41577, 42837, 45357, 50397, 55437, 65517, 69297, 70557, 75597, 81897, 83157, 85677, 90717, 92397, 98277, 100797, 102957, 105837, 110877, 120117, 120957, 124737, 125997, 128517, 131037, 136077, 138597, 142797, 147417, 147837
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OFFSET

1,1


COMMENTS

Integers m such that A348688(m) <= 0.
At this time, only 2 integers are known with A348688(x)=0: 591357 and 735205677.
The least term not == 7 (mod 10) is 3027021.


LINKS



MATHEMATICA

s = DivisorSigma[1, Range[1.5*10^5]]; Position[s[[1 ;; 4]] + s[[2 ;; 3]] + s[[3 ;; 2]]  s[[4 ;; 1]], _?(# <= 0 &)] // Flatten (* Amiram Eldar, Oct 30 2021 *)


PROG

(PARI) isok(m) = sigma(m) + sigma(m+1) + sigma(m+2)  sigma(m+3) <= 0;


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



