18503
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=21A022464
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=21A050268
- Integers n > 10583 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10583.at n=13A066055
- Primes of the form k^2 + 7.at n=36A079138
- Primes prime(j) such that prime(j)-j is a true power of prime.at n=13A083240
- Primes p=prime(k) such that in binary representation k is a substring of p.at n=14A091021
- Primes of the form 22*(n^2)+1.at n=13A117049
- a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=35A117081
- a(n) = smallest prime divisor of A138957(n).at n=12A138960
- Primes congruent to 6 mod 53.at n=37A142536
- Primes congruent to 36 mod 59.at n=32A142763
- Primes congruent to 20 mod 61.at n=30A142818
- 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, 0), (-1, 1, 1), (0, 0, 1), (1, -1, 1), (1, 1, -1)}.at n=9A148471
- a(n) = 841*n + 1.at n=21A158404
- a(n) = 22*n^2 + 1.at n=29A158537
- The sequence gives prime numbers formed from the sum of the squares of composite numbers and the corresponding prime numbers.at n=11A180233
- Numbers k such that the last 9 digits of the k-th Lucas number are 1-9 pandigital.at n=3A216488
- Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order.at n=25A227637
- Prime numbers p such that p - primepi(p) is a square, where primepi is the prime counting function.at n=16A245061
- Prime numbers whose indices correspond to A245522.at n=10A245523