7523

This number is a prime.

+ The largest prime that contains only distinct prime digits. [Poo Sung and Beedassy]

+ The only derangement of the prime 2357 that is an emirp. Note that the concatenation of both primes (23577523) and their reversals (75323257) forms other primes. [Beedassy]

+ 5*7*13*19 - 2*3*11*17 = 7523, written with the first consecutive primes on the left of the equation and a prime (emirp) with only prime digits on the right. [Capelle]

+ The smallest Honaker prime with all the prime digits: 7523 is the 953rd prime and 7 + 5 + 2 + 3 = 9 + 5 + 3. Note that the latter sum 17 and the concatenation 7523953 are also primes, as are the reversals 3257, 359, 71. [Beedassy]

+ The only prime q of form q=4p+7, consisting of distinct prime digits, with p being also an emirp with distinct digits, (p=1879), of the same form, 4*n+7, (n=468). [Loungrides]

+ There is only one prime of form (7x+5)/(2x+3). [Loungrides]

+ The largest prime with distinct prime digits that always yields a prime when its each digit d is placed into the function 2^d-1. [Bajpai]

+ The only distinct-digit prime-digit balanced prime (emirp) consisting of all the prime digits. [Loungrides]

+ Only distinct-digit safe prime containing all prime digits only. [Gupta]

+ The only distinct-digit prime-digit super-prime containing all of the prime digits {2, 3, 5, 7}. [Loungrides]

Printed from the PrimePages <primes.utm.edu> © G. L. Honaker and Chris K. Caldwell