A174839 Lists of 4 adjacent primes such that the difference between the highest minus the lowest = 8.

3, 5, 7, 11, 5, 7, 11, 13, 11, 13, 17, 19, 101, 103, 107, 109, 191, 193, 197, 199, 821, 823, 827, 829, 1481, 1483, 1487, 1489, 1871, 1873, 1877, 1879, 2081, 2083, 2087, 2089, 3251, 3253, 3257, 3259

Offset: 1

Author

Robert Hutchins, Mar 30 2010

Keywords

• nonn
• tabf

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Programs

C

if (primes[i+3] - primes[i] == 8) { printf("%u, %u, %u, %u, \n", primes[i] , primes[i+1], primes[i+2] , primes[i+3]); }

Mathematica

Flatten[Select[Partition[Prime[Range[500]],4,1],Last[#]-First[#]==8&]] (* Harvey P. Dale, Oct 01 2013 *)

Formula

a(n) >> n log^4 n. - Charles R Greathouse IV, Dec 13 2024