<div class="gmail_quote"><meta charset="utf-8"><div><span class="Apple-style-span" style="border-collapse: collapse; color: rgb(80, 0, 80); font-family: arial, sans-serif; font-size: 13px; "> From: David Stockhoff<<a href="mailto:dstockhoff@verizon.net" target="_blank" style="color: rgb(0, 0, 204); ">dstockhoff@verizon.net</a>></span> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;">
Depends how you look at it. There are patterns among primes that I don't pretend to understand. But some primes may be rarer than others.<div class="im"><br></div></blockquote><div><br></div><div><br></div><div>If I might briefly offer a mathematician's perspective... :)</div>
<div><br></div><div>No single prime number is "rarer" than any others. (Although as numbers get larger, one encounters primes more and more rarely.)</div><div><br></div><div>I do think 17 has a significance over 13 and 19, but it's more psychological than mathematical: 17 is probably the most "generic"-seeming number under 20. Forget the even numbers. (They're too obvious and well-behaved.) 11 is one more than 10, and 19 is one less than 20; these are both "boundary" numbers. We have 13, 15 and 17 left. 13 is fraught with superstitious significance, of course, and 15 is a multiple of 5. That really leaves 17, the most "random" or "generic" number under 20. Does this sound like numerology? Yes, but I think it's really psychology.</div>
<div><br></div><div>Similarly, if you ask someone to pick a number from 1 to 10, they often pick 7.</div><div><br></div><div>The following blog entry is relevant and interesting:</div><div><a href="http://scienceblogs.com/cognitivedaily/2007/02/is_17_the_most_random_number.php">http://scienceblogs.com/cognitivedaily/2007/02/is_17_the_most_random_number.php</a></div>
<div><br></div><div><br></div><div>-Jason</div></div>