112289

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2, 6,6]; short d-string notation of pattern = [266].at n=32A078849
• Prime numbers p such that pi(p) + 2*p is a square.at n=28A104783
• Primes p such that p+2, p*(p+2) + 12 and p*(p+2) + 14 are also prime.at n=13A130736
• Primes p such that 42*p-1, 42*p+1 and 48*p-1, 48*p+1 are twin primes.at n=23A138697
• Primes of the form 232*m^2+1.at n=15A230392
• Balanced primes of order fourteen.at n=23A300365
• Prime numbersat n=10647