41647
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=26A052351
- Prime number spiral (clockwise, Southeast spoke).at n=33A054564
- Numbers n such that sum of cubes of even digits of n equals sum of cubes of odd digits of n.at n=14A076165
- Primes p such that sum of cubes of even digits of p equals sum of cubes of odd digits of p.at n=2A076166
- Smallest prime a(n) such that concatenation of first n+1 primes starting from a(n), separated by n zeros, is prime.at n=23A102109
- Primes p such that q = 4p^2 + 1, r = 4q^2 + 1 and s = 4r^2 + 1 are all primes.at n=2A122429
- Number of base 25 circular n-digit numbers with adjacent digits differing by 7 or less.at n=4A125437
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected in a 3X2 elbow 1,1 1,2 1,3 2,3 in any orientation.at n=8A145944
- Numbers n of the form 4*k+3 such that 2^(m-1) == 1 (mod m) where m = (2*n-1)*n.at n=6A187923
- Prime(m), where m is such that (Sum_{i=1..m} prime(i)^6) / m is an integer.at n=1A232733
- Number of compositions of n into parts with multiplicity not larger than 5.at n=17A243083
- Primes p for which there are exactly as many primes in the range [p^2, p*nextprime(p)] as there are in the range [p*nextprime(p), nextprime(p)^2], where nextprime(p) gives the next prime after prime p.at n=37A256472
- Smallest of 4 consecutive prime numbers that when represented as a simple continued fraction, generates prime numbers in the numerator and denominator, when reduced.at n=31A270884
- a(n) = Sum_{k=0..floor(n/3)} binomial(n,k) * binomial(n-2*k,k)^2.at n=11A383526
- Prime numbersat n=4357