45127

Properties

Appears in sequences

• G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 37 generated by (1,2,...,37).at n=6A036736
• Primes with 12 as smallest positive primitive root.at n=13A061325
• Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=36A088787
• Primes p such that none of p-2, p-1, p+1, and p+2 is squarefree.at n=20A153215
• Collatz trajectory starting at 35655.at n=10A161023
• Number of nX7 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to itself.at n=7A195968
• Primes of the form 5*k^2 + 2, k >= 0.at n=16A201481
• Primes p whose smallest positive primitive root (mod p) is not squarefree.at n=13A205581
• In the '3x+1' problem, primes which as starting values set new records for number of steps to reach 1, where a step means either 'divide by two' or 'triple plus one and then divide by two'.at n=25A244638
• Concatenation of n-th nonprime and n-th prime.at n=30A253911
• Primes p such that 6p - 1 and 6p + 1 are twin primes and ((6p-1)^2 + (6p+1)^2) / 10 is prime.at n=28A283957
• Primes p such that q1=6*p-1 and q2=6*p+1 are also primes (twin primes) and q1 is a Sophie Germain prime (i.e., 2*q1+1 is prime).at n=29A358381
• Prime numbersat n=4684