55691

Properties

Appears in sequences

• Sixth term of weak prime sextet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=17A054833
• Primes of the form p*q+4 where p and q are consecutive primes.at n=5A063442
• Primes of the form Sum_{k=1..n} phi(prime(k)).at n=24A101302
• Primes of the form k^2 + k + 55661, with k >= 0.at n=5A116206
• Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=27A137365
• Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=25A137366
• Let p_(3,2)(m) be the m-th prime == 2(mod 3). Then a(n) is the smallest p_(3,2)(m) such that the interval(p_(3,2)(m)*n, p_(3,2)(m+1)*n) contains exactly one prime == 2 (mod 3).at n=40A210467
• a(n)=a(n-1)+a(n-2)+n+4, a(0)=0, a(1)=1.at n=19A210675
• Number of (n+2) X (2+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1.at n=22A257441
• Numbers that are the sum of ten fifth powers in three or more ways.at n=20A345635
• Numbers that are the sum of ten fifth powers in exactly three ways.at n=18A346348
• Prime numbersat n=5652