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As the prime numbers, and the gaps between them are * 2, +1

* 3, +2

* 5, +2

* 7, +2

* 11, +4

* 13, +2

* 17, +4

* 19, +2

* 23, +4

* 29, +6

* 31, +2

* 37, +6

* 41, +4

* 43, +2

* 47, +4

* 53, +6

* 59, +6

* 61, +2

* 67, +6

* 71, +4

* 73, +2

* 79, +6

* 83, +4

* 89, +6

* 97, +8

The only string of numbers which meet this requirement is * 90, 91, 92, 93, 94, 95, 96

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