24683

Properties

Appears in sequences

• Number of partitions of n into parts not of the form 23k, 23k+2 or 23k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 10 are greater than 1.at n=44A035990
• Partial sums of sequence (essentially A002378): 1, 2, 6, 12, 20, 30, 42, 56, 72, 90, ...at n=41A064999
• Smallest prime with concatenation of first n even numbers as leading digits.at n=3A068838
• Smallest prime which is a concatenation of n successive even numbers with only the least significant digit odd.at n=3A087332
• Father primes of order 8.at n=37A136077
• Prime numbers q of primitive Pythagorean triangles such that perimeters are averages of twin prime pairs, p+1=q(prime), a=q^2-p^2, c=q^2+p^2, b=2*p*q, ar=a*b/2; s=a+b+c, s-+1 are primes.at n=38A155187
• Primes p such that 3*p+2, 5*p+4 and 7*p+6 are also prime.at n=25A173876
• Number of (w,x,y,z) with all terms in {1,...,n} and w+x<2y+2z.at n=13A212562
• a(n) = 1 + Sum_{k=0..n-4} a(k) * a(n-k-4).at n=25A346073
• For a line L in the plane, let C(L) denote the number of prime points [k, prime(k)] on L, and let M(L) denote the maximum prime(k) for any of these points; a(n) = minimum M(L) over all lines with C(L) = n, or -1 if there is no such line.at n=21A376187
• Smallest integer m for which A378568(m) = n.at n=23A378570
• Prime numbersat n=2733