42013
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- T(n,n-4), array T as in A038792.at n=32A038794
- Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=37A052166
- Primes of the form (prime(prime(k)) + prime(prime(k+1)))/2.at n=32A098042
- Five-digit primes which use each of the decimal digits 0 through 4 exactly once.at n=14A109176
- Partial sums of A011757.at n=25A109770
- Smallest prime in kx^3+x+3 is prime.at n=28A114367
- Primes formed by rearranging five consecutive decimal digits (avoiding leading 0).at n=17A156119
- Depression-type primes with five digits; from left to right digits decrease to and increase from the central digit.at n=25A157083
- Primes whose digits can be arranged as consecutive digits (more precisely, to form a substring of 0123456789).at n=38A177119
- Primes whose digits are a permutation of (0, ..., m) for some m.at n=14A187796
- (Partial sums of the squarefree integers) that are prime.at n=21A194128
- In base 5, numbers n which have 5 distinct digits, do not start with 0, and have property that the product (written in base 5) of any two adjacent digits is a substring of n.at n=16A210016
- Primes p such that (p^2+2)/3 and (p^4+2)/3 are prime.at n=36A256811
- Number of self-conjugate inseparable solutions of X + Y = 2Z (integer, disjoint triples from {1,2,3,...,3n}).at n=13A279197
- Integers x such that [f(0), f(f(0)), ..., f(...f(0)...)] is a permutation of [0, 1, ..., k-1], where k is the number of digits in x and f(a) denotes the 0-based index of the first occurrence of the substring a in x.at n=30A307620
- Number of regions formed after n points have been placed in general position on each edge of a triangle (as in A365929).at n=12A367015
- Prime numbersat n=4393