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Number Theory/number theory, primes


 Take any positive whole number.  Can you create a prime number by adding digits to the end of the number?

Formally: Let N be the positive whole number written
di being 0 to 9, d1 not equal to 0.  Is there a prime number that has for its first m digits?

Not use to writing math on a keyboard.
Has this question ever been investigated?  Is it trivial?

Thank you in advance for your time , knowledge and effort.

Hello Emil
I've never seen this before.  But I'm pretty sure there are an infinity of prime numbers that start with those m digits.  There must be a short proof, but I can't think of one immediately.  
I'll get back to you if I come up with one.
best wishes

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