30137

Properties

Appears in sequences

• Primes of the form perfect_power(n)+n.at n=24A075781
• Primes P such that P and P+2 are twin primes and P = p(n)# + p(m) with p(n) < p(m) < p(n+1)^2, or 0 if no such prime P for n, p(n)# = n-th primorial, p(m)= m-th prime ( p(m), p(m+1) twin primes ).at n=14A088903
• Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=22A095697
• Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.at n=14A101315
• Prime numbers p such that p^3 - (p+1)^2 and p^3 + (p+1)^2 are both primes.at n=30A137476
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3.at n=50A146348
• Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1001-1111-0100 pattern in any orientation.at n=11A146832
• 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, 1, 1), (0, 1, -1), (1, -1, 1), (1, 1, 1)}.at n=8A149741
• Primes of the form 25n^2-14n+2 for n >= 0.at n=10A154356
• a(n) = 25*n^2 - 14*n + 2.at n=35A154357
• Denominators of the convergents of the continued fraction for sqrt(sqrt(2) - 1), the radius vector of the point of bisection of the arc of the unit lemniscate (x^2 + y^2)^2 = x^2 - y^2 in the first quadrant.at n=15A154750
• Primes p such that the period of the continued fraction of (1-sqrt(p))/2 has length 3 and p is not of the form k^2+1.at n=21A188136
• Prime numbers containing the digit string 137.at n=23A190307
• Volume of Johnson square pyramid placed upright on cube (rounded down) with edge lengths equal to n.at n=28A227221
• Number of odd parts in the partitions of n into 7 parts.at n=49A309622
• Number of integer partitions of n with more adjacent equal parts than distinct parts.at n=42A360254
• Lesser of twin happy primes.at n=3A387240
• Prime numbersat n=3260