# Not a "Coincidence" Again!

$0. \,\ 029 \,\ 031 \,\ 037 \,\ 047 \,\ 061 \,\ 079 \,\ 101 \,\ 127 \,\ 157 \dots$

Above shows the first few digits decimal expansion of $$\large{\frac{28944031}{997002999}}$$, written in groups of 3.

If we split this decimal expansion into groups of 3 we see multiple primes appearing! However these primes end at a certain point. After how many decimal (digits) does this pattern cease?

Details and Assumptions:

• If you think the number equals to $$0.\ 029 \,\ 031 \,\ 037 \,\ 047 \,\ 063$$, then you can only find the five prime numbers. So we can only find 4 positive prime numbers before the pattern breaks off. Thus the pattern breaks off after 12 decimal digits.

Inspired by Garret C., Pi Han Goh and Daniel Liu.

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