Editing Super-Poulet number (section)

== Super-Poulet numbers with 3 or more distinct prime divisors ==

It is relatively easy to get super-Poulet numbers with 3 distinct prime divisors. If you find three Poulet numbers with three common prime factors, you get a super-Poulet number, as you built the product of the three prime factors.

Example:
2701 = 37 *  73 is a Poulet number, 
4033 = 37 * 109 is a Poulet number, 
7957 = 73 * 109 is a Poulet number;

so 294409 = 37 * 73 * 109 is a Poulet number too.

Super-Poulet numbers with up to 7 distinct [[prime factor]]s you can get with the following numbers:
<!-- from http://www.numericana.com/answer/pseudo.htm#poulet, from Gerard Michon -->
*{ 103, 307, 2143, 2857, 6529, 11119, 131071 }
*{ 709, 2833, 3541, 12037, 31153, 174877, 184081 }
*{ 1861, 5581, 11161, 26041, 37201, 87421, 102301 }
*{ 6421, 12841, 51361, 57781, 115561, 192601, 205441 }

For example, 1118863200025063181061994266818401 = 6421 * 12841 * 51361 * 57781 * 115561 * 192601 * 205441 is a super-Poulet number with 7 distinct prime factors and 120 Poulet numbers.