18269

Properties

Appears in sequences

• Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=21A050266
• Prime number spiral (clockwise, East spoke).at n=23A054555
• Frobenius number of the numerical semigroup generated by 3 consecutive triangular numbers.at n=26A069755
• a(1) = 2; a(n) is smallest prime > 3*a(n-1).at n=8A076656
• Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=29A118467
• Primes congruent to 37 mod 53.at n=38A142567
• Primes congruent to 38 mod 59.at n=34A142765
• Primes congruent to 30 mod 61.at n=34A142828
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 7: primes in A146332.at n=31A146352
• 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), (-1, 1, -1), (0, 1, 1), (1, -1, -1)}.at n=11A148063
• Number of permutations of 1..n containing the relative rank sequence { 254163 } at any spacing.at n=3A159164
• Primes which are anagrams of cubes.at n=37A161854
• Primes p of the form prime(n+1)^3-prime(n)^3+1.at n=1A176136
• Primes p such that q = p^2 + p + 1 is an emirp.at n=31A178545
• Emirps with a single 2 as the only prime digit.at n=28A179033
• Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=33A221981
• Array: each row starts with the least prime not in a previous row, and each prime p in a row is followed by the least prime > 3*p.at n=36A229610
• Primes p such that both (p^2 + 5)/6 and (p^4 + 5)/6 are prime.at n=15A253925
• Least prime p = prime(n)^2 + prime(n+1)^2 + prime(n+2)^2 + prime(n+3)^2 + q^2, where q > prime(n+3) is also prime.at n=12A263724
• Number of nX6 0..1 arrays with every element unequal to 0, 1 or 3 king-move adjacent elements, with upper left element zero.at n=18A303680