3
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Extend this infinite series by five more terms:

17, 3, 5, 7, 11, 17, 2, 3, 5, 11, 13, 17, 2, 5, 7, 11, 13, 2

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  • $\begingroup$ I assume WeatherVane's answer is correct, but I was hoping this puzzle would actually involve the prime numbers in an inherent way. Inspired by you, I've posted a different puzzle which you may enjoy. $\endgroup$ – Rand al'Thor May 27 at 12:01
6
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My answer is

3, 5, 7, 13, 17

When the prime numbers listed are replaced by their ordinal in the prime sequence, this relates to the OEIS sequence A116369 "Day of the week corresponding to Jan 01 of a given year." (n=0 for the year 2000)

The next five terms are 2, 3, 4, 6, 7 which are the ordinals of the prime numbers I gave.

The puzzle title is a hint!

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  • $\begingroup$ need to give at least a indirect hint..never checked oeis..just thought about it yesterday while on my walk...expected it to be solved quickly $\endgroup$ – Uvc May 27 at 13:01

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