5 lines
670 B
Markdown
5 lines
670 B
Markdown
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By replacing the 1st digit of the 2-digit number *3, it turns out that six of the nine possible values:`13`, `23`, `43`, `53`, `73`, and `83`, are all prime.
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By replacing the 3rd and 4th digits of `56**3` with the same digit, this 5-digit number is the first example having seven primes among the ten generated numbers, yielding the family: `56003`, `56113`, `56333`, `56443`, `56663`, `56773`, and `56993`. Consequently `56003`, being the first member of this family, is the smallest prime with this property.
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Find the smallest prime which, by replacing part of the number (not necessarily adjacent digits) with the same digit, is part of an eight prime value family.
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