18251

Properties

Appears in sequences

• a(n) = n^3 + n^2 - 1.at n=25A003777
• Initial terms of '4-block' primes as described in A032591.at n=27A032592
• Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=35A052163
• Numbers k such that k^14 == 1 (mod 15^3).at n=21A056087
• Numbers k such that (7^k + 1)/8 is a prime.at n=7A057173
• Numbers k such that sigma(k+2) - sigma(k) = prime(k+1) - prime(k).at n=40A067062
• Primes p such that 13 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=20A080188
• Primes of the form 3*m^2 - 1.at n=25A089682
• Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=38A094464
• Least j > 1 for n > 0 such that j^2 = (n^2 + 1)*(k^2) + (n^2 + 1)*k + 1 where k sequence = A106230.at n=26A106229
• Number of one-sided chessboard polyominoes with n cells (similar to but different from A001071).at n=9A121198
• Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.at n=17A126238
• Primes congruent to 20 mod 59.at n=37A142747
• Primes congruent to 12 mod 61.at n=37A142810
• Primes of the form 12*n^2-1.at n=24A143830
• a(n) = 676*n - 1.at n=26A158393
• a(n) = 12*n^2 - 1.at n=39A158463
• Number of permutations of 1..n containing the relative rank sequence { 134625 } at any spacing.at n=3A159095
• Number of permutations of 1..n containing the relative rank sequence { 136524 } at any spacing.at n=3A159107
• Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization.at n=26A162870