23993

Properties

Appears in sequences

• Number of coprime chains with largest member prime(n).at n=30A003140
• Right-truncatable primes: every prefix is prime.at n=46A024770
• a(n) = T(2*n+1,n+2), T given by A026998.at n=7A027005
• T(n,n+3), T given by A027960.at n=14A027963
• a(n) = (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36.at n=24A121888
• Primes congruent to 20 mod 61.at n=38A142818
• Primes of the form 3n^3-7.at n=4A200907
• a(n) is the smallest prime such that it and the previous two primes are all of the form x^2 + n * y^2.at n=40A212603
• Eighth prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=18A238680
• Number of n X 2 nonnegative integer arrays with upper left 0 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=22A252932
• Numbers k such that 3*R_(k+2) - 10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A256375
• Primes having only {2, 3, 9} as digits.at n=36A260128
• Primes of the form abs(1/(36)(n^6 - 126n^5 + 6217n^4 - 153066n^3 + 1987786n^2 - 13055316n + 34747236)) in order of increasing nonnegative n.at n=24A272555
• Prime p1 of consecutive primes p1, p2, where p2 - p1 = 8, and p1, p2 are in different centuries.at n=16A287049
• Square array read by antidiagonals upwards: M(n,k) is the initial occurrence of first prime p1 of consecutive primes p1, p2, where p2 - p1 = 2*k, and p1, p2 span a multiple of 10^n, n>=1, k>=1.at n=18A287050
• Primes p such that 2*p+q and 2*p+r are prime, where q and r are the next two primes after p.at n=40A340225
• Primes dividing terms of A231830.at n=29A362252
• For n >= 1, a(n) is the least prime p such that the arithmetic mean of (n + 1) consecutive primes starting with p is a perfect square, or a(n) = -1 if no such p exists.at n=7A365706
• Expansion of B(x)/sqrt(1 + 8*(B(x)-1)/9), where B(x) is the g.f. of A169958.at n=4A387092
• Prime numbersat n=2668