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A214132 Lesser term of smallest primitive friendly pair such that both terms are divisible by the n-th prime p and coprime to the primes below p. 2

%I #24 Feb 02 2020 07:55:27

%S 6,135,14105,15506071,432712085377,1890948943,14783271043,45847,

%T 211838579,147560225903398137982300169126840969637180767467,

%U 12060713581457342807125295910808091355523729

%N Lesser term of smallest primitive friendly pair such that both terms are divisible by the n-th prime p and coprime to the primes below p.

%C For n>2, instances are known up to 11 (p=31).

%C By definition, gcd(a(n), A002110(n-1)) = 1. - _Michel Marcus_, Jan 19 2014

%H Achim Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/mpn.html">The Multiply Perfect Numbers Page</a> (for p = 13, 17, 19)

%H Michel Marcus, <a href="/A214132/a214132.txt">Table A214132 and A214133 for n = 1..11</a>

%e For n=1, the perfect numbers 6=2*3 and 28=2^2*7 (A214133) are primitive friendly.

%e For n=2, 135=3^3*5 and 819=3^2*7*13 (A214133) are primitive friendly.

%Y Cf. A214133. Subset of sequence A096366.

%K hard,more,nonn

%O 1,1

%A _Michel Marcus_, Jul 05 2012

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)