140453
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes occurring as larger side of Heronian triangle (sides are consecutive integers, area and inradius are integers).at n=3A087602
- Pierce expansion of 2 - sqrt(3).at n=5A219506
- Sides of (Heronian) triangles where sides are consecutive integers and area is an integer.at n=26A242497
- Numbers n such that n-tau(n), phi(n) and n form a Heronian triangle, where tau=A000005 is the number of divisors and phi=A000010 the totient.at n=9A268281
- a(n) = MPR2(n, 4), where MPR2(n, x) is the (monic) minimal polynomial of 2*cos(2*Pi/n) as defined in A232624.at n=26A309040
- Largest side lengths of almost-equilateral Heronian triangles.at n=8A335025
- a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units without partitioning a triangle into 3 element sets of trapezoids.at n=44A391452
- Prime numbersat n=13049