7523
This number is a prime.
 The largest prime that contains only distinct prime digits.  [Poo Sung  and
Beedassy]
 
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]
 
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]
 
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 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]
 
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]
 
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 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]
 
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]
 
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]
 
The only distinct-digit prime-digit super-prime containing
all of the prime digits {2, 3, 5, 7}.  [Loungrides]