Friday, 31 January 2014

mathematics - Happy New Year?


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



Answer



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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