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Super-poulet NumberA super-Poulet number is a Poulet number whose every divisor d divides - 2d − 2.
For example 341 is a super-Poulet number: it has positive divisors {1, 11, 31, 341} and we have: - (211 - 2) / 11 = 2046 / 11 = 186
- (231 - 2) / 31 = 2147483646 / 31 = 69273666
- (2341 - 2) / 341 = ... (an integer)
The super-Poulet numbers below 10,000 are : | n | |
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| 1 | 341 = 11 × 31 | | 2 | 1387 = 19 × 73 | | 3 | 2047 = 23 × 89 | | 4 | 2701 = 37 × 73 | | 5 | 3277 = 29 × 112 | | 6 | 4033 = 37 × 109 | | 7 | 4369 = 17 × 257 | | 8 | 4681 = 31 × 151 | | 9 | 5461 = 43 × 127 | | 10 | 7957 = 73 × 109 | | 11 | 8321 = 53 × 157 |
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