42569

Properties

Appears in sequences

• First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4).at n=15A054828
• Numbers n such that x^n + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=60A057484
• a(n) = n*(n^2 - 1)/2 - 1.at n=42A117560
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (0, 1, 1), (1, -1, 1), (1, 1, -1)}.at n=9A149022
• Primes p such that 3*p+4, 5*p+6 and 7*p+8 are also prime.at n=37A173879
• List of primes p1 such that (p1,p2) are twin primes where both 2*p1+p2 and p1+2*p2 are primes.at n=18A174920
• Primes p such that 4*p+3, 6*p+5 and 8*p+7 are all primes.at n=44A329551
• Primes p such that 14*p + 1 divides 2^p - 1.at n=36A350702
• Positions of records in A196047.at n=38A390293
• Prime numbersat n=4451