23743
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=47A015628
- Number of 7's in all partitions of n.at n=42A024791
- a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=n, T given by A026907.at n=8A026917
- Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=33A059668
- Numbers n such that the Eisenstein integer (1 - ω)^n - 1 has prime norm, where ω = -1/2 + sqrt(-3)/2.at n=22A066408
- a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime.at n=33A080155
- Class 7- primes.at n=8A081426
- Primes that are a concatenation of 2, 3 and a prime.at n=24A101218
- Primes p such that 3^p + 3^((p + 1)/2) + 1 is prime.at n=13A125739
- Home primes whose homeliness is greater than 4.at n=15A133963
- Home primes whose homeliness is 5.at n=11A133964
- Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=24A138715
- Terms of A177763 which have more than one such representation.at n=21A177766
- Primes of the form n^2+number of divisors of n^2.at n=23A188665
- The Wiener index of the straight pentachain of n pentagonal rings (see Fig. 2.1 in the A. A. Ali et al. reference).at n=21A224459
- Primes p of the form m^2 + 27.at n=22A227622
- a(1)=0, a(2)=1; thereafter a(n) = A238823(n-1)-2*a(n-1)-a(n-2).at n=13A238824
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 790", based on the 5-celled von Neumann neighborhood.at n=34A273562
- Prime time primes (of the form HMMSS with primes H < 24 and MM, SS < 60) such that the corresponding number of seconds after midnight is also prime.at n=27A295000
- Primes of the form p^2 - p*q + q^2, where p and q are consecutive primes.at n=3A339698