A219478 Prime numbers that are the mean of 5 successive primes.

79, 281, 349, 439, 643, 677, 787, 887, 1171, 1327, 1733, 1811, 2141, 2347, 2389, 2767, 2791, 3323, 3329, 3529, 3929, 4157, 4349, 4751, 4799, 4919, 4951, 5003, 5189, 5323, 5347, 5521, 5531, 5857, 5861, 6287, 6337, 6473, 6823, 6967, 6997, 7507, 7933, 8233

Offset: 1

Author

Zak Seidov, Nov 20 2012

Keywords

• nonn

Examples

			a(1) = 79 = (prime(20)+...+prime(24))/5 = (71+ 73+ 79+ 83+ 89)/5
a(2) = 281 = (prime(58)+...+prime(62))/5 = (271+ 277+ 281+ 283+ 293)/5
a(8) = 887 = (prime(151)+...+prime(155))/5 = (877+ 881+ 883+ 887+ 907)/5
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A082077, A219505.

Programs

Mathematica

Select[(Mean /@ Partition[Prime[Range[1000]], 5, 1]), PrimeQ]