# Happy Pi Day!

In America, today's date is written as $$3.14.15$$, and at $$9:26:53$$ 10 digits of $$\pi$$ will appear on watches for the first time in 100 years. Now, in what position in $$\pi$$ will the sequence $$1,2,3,4,5$$ commence for the first time?

Note: The sequence $$3,1,4,1,5$$ commences at position $$1$$, $$1,4,1,5,9$$ commences at position $$2$$, etc.

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