42841

Properties

Appears in sequences

• Star-hex numbers.at n=3A006062
• Primes with 23 as smallest positive primitive root.at n=13A061335
• a(n) = n^3 - n + 1.at n=35A061600
• Number of ordered triples (a, b, c) with gcd(a, b, c) = 1 and 1 <= {a, b, c} <= n.at n=36A071778
• The last number for which a determinant of base-n numbers is nonzero.at n=33A079505
• Primes in A003154.at n=38A083577
• a(n) = smallest prime of the form n*(n+1)*(n+2)*...*(n+k) + 1, or 0 if no such prime exists.at n=33A087564
• Scale factor by which primitive Pythagorean triangle {x=A088509(n), y=A088510(n), z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse.at n=32A088544
• Smallest prime of the form n*(n+1)*(n+2)...(n+k) + 1, k > 0, i.e., a(n) > n+1, or 0 if no such prime exists.at n=33A089305
• Primes of the form k^3 - k + 1.at n=14A100698
• Primes of the form 2m*691 - 1.at n=9A134671
• Greater of twin primes p such that 3*p-2 is also greater of twin primes.at n=19A177336
• Hypotenuses of primitive Pythagorean triples in A195538 and A195539.at n=5A195540
• Primes of the form 9n^2 - 8.at n=13A201961
• Primes of the form 2520k + 1 for some k.at n=7A217588
• Primes p of the form p = 1 + 840*k for some k.at n=22A217862
• Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array.at n=27A219810
• The greater of twin primes p2 such that 2*p1 + p2 is a prime number (A174913) and also the lesser of other twin primes in A174913.at n=5A242773
• Primes of the form 120^k - 119^k.at n=1A254298
• G.f. A(x) = Sum_{n=-oo..+oo} x^n * (1 + x^n)^(2*n).at n=63A260147