43739

Appears in sequences

• a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3.at n=38A001945
• Strong pseudoprimes to base 11.at n=11A020237
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 29 ones.at n=20A031797
• Number of partitions in parts not of the form 19k, 19k+3 or 19k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=46A035972
• n-th 4k+1 prime times (n+1)st 4k+3 prime.at n=21A048628
• Least number k such that phi(k) / Carmichael lambda(k) = 2n.at n=18A066497
• a(n) = 60*n^2 - 1.at n=26A158670
• Number of 3X3 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 3 zero-sum 3-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=12A192702
• Smallest product of two distinct primes of the form n*k+1.at n=18A194265
• Smallest product of two distinct primes of the form n*k+1.at n=37A194265
• Decompose the multiplicative group of integers modulo N as a product of cyclic groups C_{k_1} x C_{k_2} x ... x C_{k_m}, where k_i divides k_j for i < j, then a(n) is the smallest N such that the product contains a copy of C_{2n}.at n=18A302099
• a(n) is the smallest k such that the p-rank of (Z/kZ)* is 2, where p = prime(n) and (Z/kZ)* is the multiplicative group of integers modulo n.at n=7A307434
• a(n) is the smallest k such that (Z/kZ)* contains C_(2n) X C_(2n) as a subgroup, where (Z/kZ)* is the multiplicative group of integers modulo n.at n=18A307436
• Semiprimes p*q such that p*q+p+q, p*q-(p+q), p*q+2*(p+q) and p*q-2*(p+q) are all primes.at n=30A356765