27737

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=29A031599
• 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=31A078847
• Primes p such that p, p+2, p+6, p+12 and p+14 are consecutive primes.at n=8A078946
• a(n) is the index of the first occurrence of n in A080071, or 0 for those n>0 which never occur in A080071.at n=16A080090
• Larger of a pair of consecutive primes having only prime digits.at n=15A082756
• Twin primes whose digits are primes.at n=12A087367
• Prime(144*n).at n=20A102350
• Initial members of prime triples (p, p+2, p+6) for which also the sum 3p+8 is prime.at n=34A162001
• Primes p such that (p, p+2, p+6, p+12) is a prime quadruple.at n=39A172454
• G.f. satisfies: A(A(x)) = Sum_{n>=1} a(n)*x^n / Product_{k=1..n} (1 - k*x), where g.f. A(x) = Sum_{n>=1} a(n)*x^n.at n=6A193208
• Primes of the form 6n^2 - 7.at n=26A201792
• Prime numbers p such that x^2 + x + p produces primes for x = 0..3 but not x = 4.at n=18A210362
• Triangle read by rows, where row n starts with n-th prime, followed by n primes in arithmetic progression; T(0,0) = 1 by convention.at n=32A211890
• Primes that contain only the digits (2, 3, 7).at n=39A214704
• Primes p with p + 2, p + 6 and prime(p) + 6 all prime.at n=26A236509
• Initial members of prime quadruples (n, n+2, n+54, n+56).at n=28A248661
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 611", based on the 5-celled von Neumann neighborhood.at n=28A273214
• For a lesser p of twin primes, let B_(p+2) and B_p be sequences defined as A159559, but with initial terms p+2 and p respectively. The sequence lists p for which all differences B_(p+2)(n)-B_p(n)<=6.at n=21A276848
• Primes prime(k) such that (prime(k), prime(k+1)), (prime(k+2), prime(k+3)), (prime(k+4), prime(k+5)) form a triangle of area 2.at n=25A308649
• Primes p such that A001175(p) = 2*(p+1)/9.at n=21A308786