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Triangular numbers whose sum of primes from smallest to largest prime factor is triangular and whose sum of composites from smallest to largest prime factor is triangular.
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%I #11 Dec 15 2017 17:36:06

%S 3,21,105,325,7875,9568125

%N Triangular numbers whose sum of primes from smallest to largest prime factor is triangular and whose sum of composites from smallest to largest prime factor is triangular.

%C No more terms < 2.77*10^12. - _David Wasserman_, Jul 20 2005

%C a(7) > 2*10^15. - _Donovan Johnson_, Feb 03 2013

%e 325 = 5^2*13, sum of primes between: 5+7+11+13 = 36, triangular; sum of composites between: 6+8+9+10+12 = 45, triangular.

%Y Cf. A000217, A074036, A074037.

%K more,nonn

%O 1,1

%A _Jason Earls_, Nov 02 2002

%E Offset corrected by _Donovan Johnson_, Feb 03 2013