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A143144 A positive integer n is included if there is one and only one prime p where j < p < k, where j is the largest divisor of n that is <= sqrt(n) and k = the smallest divisor of n that is >= sqrt(n). 3

%I #9 Oct 06 2019 11:12:17

%S 3,8,10,18,21,24,28,40,45,48,50,54,55,60,66,84,91,96,104,108,117,120,

%T 130,154,165,168,176,180,187,192,204,234,247,252,266,270,285,288,304,

%U 340,357,360,374,378,391,396,414,456,475,480,494,500,504,513,520,525

%N A positive integer n is included if there is one and only one prime p where j < p < k, where j is the largest divisor of n that is <= sqrt(n) and k = the smallest divisor of n that is >= sqrt(n).

%H Amiram Eldar, <a href="/A143144/b143144.txt">Table of n, a(n) for n = 1..10000</a>

%e The divisors of 40 are 1,2,4,5,8,10,20,40. The two middle divisors are 5 and 8. Between 5 and 8 (and not including 5 and 8) there is exactly one prime (7). So 40 is included in the sequence.

%Y Cf. A143143, A143145.

%K nonn

%O 1,1

%A _Leroy Quet_, Jul 27 2008

%E a(9)-a(56) from _Donovan Johnson_, Sep 27 2008

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