# 29

This number is a prime.

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The only double-digit prime whose the reversal can be represented as the sum of the reversals of two consecutive primes, i.e., R(29)=R(61)+R(67). Note that three concatenations of the primes 29, 61, 67 are primes, i.e., 612967, 616729 and 676129. [Loungrides]

The smallest prime of form p*q+r*s where (p, q, r, s) is a set of four consecutive primes, i.e., (2*7+3*5). [Loungrides]

The smallest prime that is the sum of the reversals of two double-digit primes, i.e, 31 + 61. [Loungrides]

29 is the only known prime of form n^n+2, where n is any integer greater than 1, (case n=3). [Loungrides]

The largest prime in the first case of primes of form 6*n+5 where n is an integer, i.e., 5, 11, 17, 23, 29. Note also that 29 is the smallest prime p in the first case of primes such that 6*p+5 are also primes, i.e., for p: 29, 31, 37, 41, 43 we create the primes 179, 191, 227, 251, 263. We also notice that the reverse concatenation of these primes p, i.e., 4341373129 is also prime. [Loungrides]

2^9+29 is the largest prime p of form a^b+ab, where ab is a double-digit prime, (p=541). [Loungrides]

The only known non-titanic prime of form p=2^x+5^x, where x is prime, (case x=2). [Loungrides]

The largest prime p such that the product of first p odd numbers plus 2 is a non-titanic prime, i.e., 1*3*5*7*...*55*57+2. [Loungrides]

There are 29 distinct-odd digit primes each consisting of all the odd digits. These primes are: 13597, 13759, 15739, 15937, 15973, 17359, 17539, 19753, 39157, 51973, 53197, 53719, 53917, 57139, 57193, 71359, 71593, 73951, 75193, 75391, 75913, 75931, 79153, 79531, 91573, 91753, 95317, 95713, 95731. [Loungrides]