document.write( "Question 1106618: What comes next in the sequence 2,3,7,23,? \n" ); document.write( "
Algebra.Com's Answer #721620 by Edwin McCravy(20056)\"\" \"About 
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document.write( "2,3,7,23, are all prime numbers, so we look at the primes\r\n" );
document.write( "and the differences between each one and the next larger prime.\r\n" );
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document.write( "We start with the first prime, 2.  After that,\r\n" );
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document.write( "Each term is the smallest prime that differs from the next \r\n" );
document.write( "prime by more than any of the smaller primes differed from \r\n" );
document.write( "their next primes.\r\n" );
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document.write( "We list the prime numbers, and take the difference between the\r\n" );
document.write( "next prime and it.  When there is an increase in that difference, \r\n" );
document.write( "that prime is the next term.\r\n" );
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document.write( "2, difference between 3 and 2 is 1, considered an increase, so 1st term = 2\r\n" );
document.write( "3, difference between 5 and 3 is 2, an increase over 1, so 2nd term = 3    \r\n" );
document.write( "5, difference between 7 and 5 is 2. \r\n" );
document.write( "7, difference between 11 and 7 is 4, an increase over 2, so 3rd term = 7 \r\n" );
document.write( "11, difference between 13 and 11 is 2. \r\n" );
document.write( "13, difference between 17 and 13 is 4. \r\n" );
document.write( "17, difference between 19 and 17 is 2. \r\n" );
document.write( "19, difference between 23 and 19 is 4. \r\n" );
document.write( "23, difference between 29 and 23 is 6, an increase over 4, so 4th term = 23 \r\n" );
document.write( "29, difference between 31 and 29 is 2. \r\n" );
document.write( "31, difference between 37 and 31 is 6. \r\n" );
document.write( "37, difference between 41 and 37 is 4. \r\n" );
document.write( "41, difference between 43 and 41 is 2. \r\n" );
document.write( "43, difference between 47 and 43 is 4. \r\n" );
document.write( "47, difference between 53 and 47 is 4. \r\n" );
document.write( "53, difference between 59 and 53 is 6. \r\n" );
document.write( "59, difference between 61 and 59 is 2.\r\n" );
document.write( "61, difference between 67 and 61 is 6. \r\n" );
document.write( "67, difference between 71 and 67 is 4. \r\n" );
document.write( "71, difference between 73 and 71 is 2. \r\n" );
document.write( "73, difference between 79 and 73 is 6. \r\n" );
document.write( "79, difference between 83 and 79 is 4. \r\n" );
document.write( "83, difference between 89 and 83 is 6. \r\n" );
document.write( "89, difference between 97 and 89 is 8, an increase over 6, so 5th term = 89 \r\n" );
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document.write( "Answer = 89.\r\n" );
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document.write( "Edwin
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