PUZZLET 019

Prime Number Intervals

Find a sequence of six 5-digit prime numbers a,b,c,d,e, such that :

b = a + 2, c = b + 4, d = c + 6, e = d + 8, f = e + 10.

Example: 21557,21559,21563,21569,21577,21587.

This is a span of 30 integers,of which only six are allowed to be prime.

There are four other sequences to find.

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Last Updated: January 7th, 2010.