27941

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 pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=32A078847
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=21A187057
• Initial primes of 5 consecutive primes with consecutive gaps 2, 4, 6, 8.at n=7A190814
• Prime numbers p such that x^2 + x + p produces primes for x = 0..4 but not x = 5.at n=12A210363
• Prime(n), where n is such that (1+Sum_{i=1..n} prime(i)^5) / n is an integer.at n=14A234003
• Numbers k such that n^2 + n + k has no prime factor p <= 41 for any integer n.at n=1A323558
• a(n) is the smallest prime factor in A030426(n).at n=29A325626
• Addends k > 0 such that the polynomial x^2 + x + k produces a record of its Hardy-Littlewood Constant.at n=5A331940
• Primes that are perimeter^2 + hypotenuse^2 of a Pythagorean triple.at n=5A391598
• Prime numbersat n=3048