44501

Properties

Appears in sequences

• Prime number spiral (clockwise, Southeast spoke).at n=34A054564
• Smaller pair of the primes described in A116074.at n=3A116075
• a(n) = (n^4 + 2n^3 + 5n^2 + 4)/4.at n=20A123350
• a(1) = 2. Let k >= 1 be the minimal integer such that 2*k*a(n-1) - 1 has at least one prime divisor which is not already in the sequence. Then a(n) is the smallest such divisor.at n=52A174161
• Numbers N such that concatenation of N, N, and x generates a prime for x=1 and x=3 and x=7 and x=9.at n=6A210515
• a(n) is the smallest prime p which is greater than the exponent of the n-th Mersenne prime.at n=26A342692
• Prime numbersat n=4625