25253
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18.at n=12A031606
- Number of binary [ n,4 ] codes.at n=15A034358
- Primes with every digit a prime and the sum of the digits a prime.at n=39A062088
- Primes p such that p-3 and p+3 are divisible by a cube.at n=23A089201
- Equal count of primes congruent to 1 mod 4 and 3 mod 4 associated with primes in A007351 (the zero beginning the sequence indicates the prime 2).at n=31A092198
- Primes p such that the largest prime divisor of p^4+1 is less than p.at n=3A102326
- Smallest prime p with at least two non-overlapping occurrences of n in decimal representation of p.at n=24A103611
- Primes arising as the 10's complement of A109862(n).at n=23A109863
- Primes with a prime number of digits, all of them prime, that add up to a prime.at n=14A110028
- Let p be an element of A110028. Let L(p) be the sorted list of digits of p and let LL be the set of all L(p) with duplicates removed and ordered lexicographically. Then a(n) is the first element of A110028 such that L(a(n))=LL(n).at n=10A117608
- Primes with prime number of only prime digits (i.e., 2, 3, 5, 7).at n=33A124888
- Father primes of order 11.at n=24A136080
- Primes p1 such that p1^3+p2^2=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=18A138735
- Primes p such that there exist primes p'<p"<p"'<p""<p such that the concatenation of any two among the {p,...,p""} is prime.at n=2A139005
- Primes formed by concatenating k, k and 3 for k >= 1.at n=8A210512
- Primes having only {2, 3, 5} as digits.at n=17A214703
- Smallest prime > (3/2)^n.at n=24A242738
- Number of partitions of 3^n into n-th powers.at n=24A259796
- Fixed points of A275957; numbers n for which A060125(n) = A225901(n).at n=51A275843
- Yarborough primes that remain Yarborough primes when each of their digits are replaced by their squares.at n=36A296187